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Practice book · Senior 6 · REB curriculum

Senior 6 Physics practice book

All 400 quiz questions in 10 units, with the correct answer and an explanation for each. Read a unit, then test yourself in the Senior 6 quiz.

Unit 1: Sound Waves

Multiple choice

1.Sound is produced by:

  • ALight shining on objects
  • BVibrating objects
  • CObjects at rest
  • DMagnets

Answer: B

A vibrating source makes the particles of the medium vibrate.

Multiple choice

2.Sound waves in air are:

  • ALongitudinal waves
  • BStanding light waves
  • CElectromagnetic waves
  • DTransverse waves

Answer: A

Air particles vibrate parallel to the direction the wave travels, forming compressions and rarefactions.

Multiple choice

3.Sound cannot travel through:

  • AAir
  • BWater
  • CSteel
  • DA vacuum

Answer: D

Sound needs a material medium; there are no particles in a vacuum.

Multiple choice

4.In which medium does sound usually travel fastest?

  • AAir
  • BA vacuum
  • CWater
  • DSteel (a solid)

Answer: D

Particles in solids are closely linked, so vibrations pass on quickly.

Multiple choice

5.The speed of sound in air at room temperature is about:

  • A34 m/s
  • B3430 m/s
  • C3 × 10⁸ m/s
  • D343 m/s

Answer: D

About 343 m/s at 20 °C.

Multiple choice

6.The speed of sound in air increases when:

  • AThe frequency increases
  • BThe air temperature decreases
  • CThe air temperature increases
  • DThe loudness increases

Answer: C

Warmer air molecules move faster and pass on vibrations more quickly.

Multiple choice

7.A sound wave has frequency 686 Hz in air (v = 343 m/s). What is its wavelength?

  • A2 m
  • B235 298 m
  • C0.5 m
  • D1029 m

Answer: C

λ = v/f = 343 ÷ 686 = 0.5 m.

Multiple choice

8.The pitch of a sound depends mainly on its:

  • AWavelength in solids only
  • BSpeed
  • CFrequency
  • DAmplitude

Answer: C

Higher frequency gives a higher pitch.

Multiple choice

9.The loudness of a sound depends mainly on its:

  • AAmplitude (and intensity)
  • BPitch
  • CSpeed
  • DFrequency

Answer: A

Larger amplitude vibrations carry more energy and sound louder.

Multiple choice

10.Two instruments play the same note at the same loudness but sound different. This difference is called:

  • AQuality (timbre)
  • BPitch
  • CEcho
  • DFrequency

Answer: A

Different overtones (harmonics) give each instrument its own quality.

Multiple choice

11.The normal range of human hearing is about:

  • A2 Hz to 200 Hz
  • B0 Hz to 20 Hz
  • C20 Hz to 20 000 Hz
  • D200 Hz to 2 000 000 Hz

Answer: C

Sounds above 20 kHz are ultrasound; below 20 Hz are infrasound.

Multiple choice

12.Sound with frequency above 20 000 Hz is called:

  • AUltrasound
  • BEcho
  • CAudible sound
  • DInfrasound

Answer: A

Bats and medical scanners use ultrasound.

Multiple choice

13.An echo is:

  • AAbsorbed sound
  • BDiffracted light
  • CRefracted sound
  • DReflected sound

Answer: D

Echoes occur when sound reflects from a hard surface.

Multiple choice

14.A girl shouts in front of a cliff and hears the echo 2.0 s later (v = 340 m/s). How far away is the cliff?

  • A1360 m
  • B680 m
  • C170 m
  • D340 m

Answer: D

The sound travels there and back: d = vt/2 = 340 × 2 ÷ 2 = 340 m.

Multiple choice

15.Sound bends around corners and through doorways because of:

  • AReflection
  • BDiffraction
  • CAbsorption only
  • DPolarisation

Answer: B

Sound wavelengths are similar in size to doorways, so they diffract.

Multiple choice

16.Beats are heard when:

  • ASound travels in a vacuum
  • BSound reflects from a wall
  • CTwo sounds of slightly different frequencies are played together
  • DOne loud sound is played

Answer: C

The sounds interfere, making the loudness rise and fall.

Multiple choice

17.Two tuning forks of 440 Hz and 444 Hz sound together. What is the beat frequency?

  • A884 Hz
  • B1.01 Hz
  • C442 Hz
  • D4 Hz

Answer: D

Beat frequency = 444 − 440 = 4 Hz.

Multiple choice

18.On a string fixed at both ends, the fundamental (first harmonic) has a wavelength of:

  • AL
  • B2L
  • CL/2
  • D4L

Answer: B

The string length holds half a wavelength: λ = 2L.

Multiple choice

19.A string 0.5 m long vibrates in its fundamental mode with wave speed 200 m/s. What is the fundamental frequency?

  • A100 Hz
  • B200 Hz
  • C50 Hz
  • D400 Hz

Answer: B

f = v/2L = 200 ÷ 1.0 = 200 Hz.

Multiple choice

20.Increasing the tension of a guitar string makes its pitch:

  • AHigher
  • BUnchanged
  • CDisappear
  • DLower

Answer: A

Higher tension increases the wave speed and the frequency.

Multiple choice

21.An open pipe (open at both ends) of length L has a fundamental wavelength of:

  • AL
  • BL/4
  • C4L
  • D2L

Answer: D

There is an antinode at each end, so λ = 2L.

Multiple choice

22.A closed pipe (closed at one end) of length L has a fundamental wavelength of:

  • A4L
  • BL/2
  • C2L
  • DL

Answer: A

A node at the closed end and antinode at the open end hold a quarter wavelength: λ = 4L.

Multiple choice

23.A pipe closed at one end produces only:

  • AOdd harmonics
  • BEven harmonics
  • CAll harmonics
  • DNo harmonics

Answer: A

Only the 1st, 3rd, 5th… harmonics fit a closed pipe.

Multiple choice

24.Resonance in sound occurs when:

  • ASound stops
  • BSound is absorbed
  • CA body is forced to vibrate at its own natural frequency, giving a large amplitude
  • DTwo sounds cancel completely

Answer: C

Resonance tubes and musical instruments rely on it.

Multiple choice

25.Sound intensity is defined as:

  • AFrequency × wavelength
  • BSound power per unit area
  • CSpeed of sound
  • DPitch of a sound

Answer: B

I = P/A, measured in W/m².

Multiple choice

26.Sound intensity level is measured in:

  • AWatts
  • BDecibels (dB)
  • CMetres
  • DHertz

Answer: B

β = 10 log(I/I₀) dB, with I₀ = 10⁻¹² W/m².

Multiple choice

27.A sound has an intensity of 10⁻⁶ W/m². What is its intensity level? (I₀ = 10⁻¹² W/m²)

  • A6 dB
  • B60 dB
  • C120 dB
  • D10 dB

Answer: B

β = 10 log(10⁻⁶/10⁻¹²) = 10 log 10⁶ = 60 dB.

Multiple choice

28.The Doppler effect is:

  • AThe loss of sound energy
  • BThe apparent change in frequency when the source and observer move relative to each other
  • CThe bending of sound
  • DThe reflection of sound

Answer: B

Example: a siren sounds higher as the ambulance approaches.

Multiple choice

29.An ambulance siren sounds higher in pitch as it approaches you because:

  • AThe waves are squashed together, so you receive a higher frequency
  • BSound speeds up
  • CThe siren changes its frequency
  • DThe air gets warmer

Answer: A

Wavefronts bunch up in front of a moving source.

Multiple choice

30.A source of frequency 500 Hz moves towards a stationary observer at 43 m/s (v = 343 m/s). What frequency is heard? (f' = f v/(v − vs))

  • A500 Hz
  • B429 Hz
  • C572 Hz
  • D543 Hz

Answer: C

f' = 500 × 343 ÷ (343 − 43) = 500 × 343/300 ≈ 572 Hz.

True or false

31.Sound can travel through a vacuum.

Answer: False

Sound needs a medium.

True or false

32.Sound waves in air are longitudinal waves.

Answer: True

Particles vibrate along the direction of travel.

True or false

33.A higher frequency gives a higher pitch.

Answer: True

Pitch depends on frequency.

True or false

34.Ultrasound has a frequency below 20 Hz.

Answer: False

Ultrasound is above 20 000 Hz; below 20 Hz is infrasound.

True or false

35.The pitch of a car horn sounds lower after the car has passed you.

Answer: True

As the source moves away, the received frequency drops.

Fill in the blank

36.Reflected sound that is heard after the original sound is called an ______.

Answer: echo

Used in echo sounding and sonar.

Fill in the blank

37.The unit of sound intensity level is the ______.

Answer: decibel (dB)

Named after Alexander Graham Bell.

Fill in the blank

38.The apparent change in frequency due to relative motion of source and observer is the ______ effect.

Answer: Doppler

Named after Christian Doppler.

Fill in the blank

39.The regions of high pressure in a sound wave are called ______.

Answer: compressions

Low-pressure regions are rarefactions.

Fill in the blank

40.Sound waves with frequencies above the range of human hearing are called ______.

Answer: ultrasound

Used in medical imaging.

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Unit 2: Rotational Motion

Multiple choice

1.Angular displacement is measured in:

  • AJoules
  • BMetres
  • CRadians
  • DNewtons

Answer: C

One revolution = 2π rad.

Multiple choice

2.Angular velocity ω is related to linear speed v at radius r by:

  • Av = ωr
  • Bv = ω + r
  • Cv = ω/r
  • Dv = r/ω

Answer: A

Points further from the axis move faster.

Multiple choice

3.A wheel turns at 10 rad/s. What is the speed of a point 0.3 m from its axis?

  • A10.3 m/s
  • B3 m/s
  • C0.03 m/s
  • D33 m/s

Answer: B

v = ωr = 10 × 0.3 = 3 m/s.

Multiple choice

4.Angular acceleration is:

  • AThe rate of change of angular velocity
  • BAngular velocity × time
  • CThe rate of change of radius
  • DLinear speed ÷ time only

Answer: A

α = Δω/Δt, measured in rad/s².

Multiple choice

5.A fan speeds up from rest to 20 rad/s in 4 s. What is its angular acceleration?

  • A24 rad/s²
  • B5 rad/s²
  • C80 rad/s²
  • D0.2 rad/s²

Answer: B

α = 20 ÷ 4 = 5 rad/s².

Multiple choice

6.Moment of inertia measures:

  • AA body's resistance to changes in its rotation
  • BThe mass of a body only
  • CThe speed of rotation
  • DThe force on a body

Answer: A

It is the rotational equivalent of mass.

Multiple choice

7.The moment of inertia of a body depends on:

  • AIts colour
  • BIts mass only
  • CIts mass and how that mass is distributed about the axis
  • DIts speed only

Answer: C

Mass further from the axis gives a larger moment of inertia.

Multiple choice

8.The moment of inertia of a point mass m at distance r from an axis is:

  • Amr²
  • Bm/r
  • Cmr
  • Dm²r

Answer: A

I = mr², measured in kg m².

Multiple choice

9.What is the moment of inertia of a 2 kg mass at 0.5 m from the axis?

  • A0.25 kg m²
  • B1 kg m²
  • C4 kg m²
  • D0.5 kg m²

Answer: D

I = mr² = 2 × 0.25 = 0.5 kg m².

Multiple choice

10.Torque is:

  • AForce × time
  • BEnergy per second
  • CMass × velocity
  • DThe turning effect of a force

Answer: D

τ = F × perpendicular distance, in N m.

Multiple choice

11.A force of 20 N acts at right angles 0.4 m from a hinge. What is the torque?

  • A8 N m
  • B0.02 N m
  • C20.4 N m
  • D50 N m

Answer: A

τ = Fr = 20 × 0.4 = 8 N m.

Multiple choice

12.Newton's second law for rotation is:

  • Aτ = I/α
  • BF = mv
  • Cτ = Iα
  • DP = IV

Answer: C

Torque = moment of inertia × angular acceleration.

Multiple choice

13.A torque of 12 N m acts on a wheel with I = 3 kg m². What is its angular acceleration?

  • A15 rad/s²
  • B0.25 rad/s²
  • C4 rad/s²
  • D36 rad/s²

Answer: C

α = τ/I = 12 ÷ 3 = 4 rad/s².

Multiple choice

14.Rotational kinetic energy is given by:

  • A½Iω²
  • Bmgh
  • CIω
  • D½mv

Answer: A

KE_rot = ½Iω².

Multiple choice

15.A flywheel with I = 4 kg m² spins at 5 rad/s. What is its rotational kinetic energy?

  • A100 J
  • B10 J
  • C50 J
  • D20 J

Answer: C

KE = ½ × 4 × 5² = 50 J.

Multiple choice

16.Angular momentum L of a rotating body is:

  • Aτt²
  • Bmv²
  • CIω
  • D½Iω²

Answer: C

L = Iω, measured in kg m²/s.

Multiple choice

17.The law of conservation of angular momentum states that, with no external torque:

  • ATorque increases
  • BThe moment of inertia is zero
  • CAngular velocity is constant
  • DThe total angular momentum stays constant

Answer: D

Iω = constant.

Multiple choice

18.An ice skater spinning with arms out pulls her arms in. She spins faster because:

  • ATorque is added
  • BFriction increases
  • CHer mass increases
  • DHer moment of inertia decreases, so ω increases to keep Iω constant

Answer: D

This is conservation of angular momentum.

Multiple choice

19.A diver tucks into a ball during a dive in order to:

  • AIncrease air resistance
  • BReduce moment of inertia and rotate faster
  • CFall faster
  • DIncrease mass

Answer: B

Smaller I gives larger ω for the same angular momentum.

Multiple choice

20.Power in rotational motion is given by:

  • AP = ½Iω
  • BP = τω
  • CP = τ/ω
  • DP = Iα

Answer: B

Power = torque × angular velocity.

Multiple choice

21.A motor provides a torque of 5 N m at 100 rad/s. What is its power?

  • A500 W
  • B0.05 W
  • C20 W
  • D105 W

Answer: A

P = τω = 5 × 100 = 500 W.

Multiple choice

22.Work done by a constant torque τ turning a body through angle θ is:

  • A½τθ²
  • Bτθ
  • Cτ/θ
  • Dτ + θ

Answer: B

W = τθ (θ in radians).

Multiple choice

23.A body is in rotational equilibrium when:

  • AThe forces are large
  • BIt is not moving at all
  • CIts moment of inertia is zero
  • DThe resultant torque on it is zero

Answer: D

Clockwise and anticlockwise moments balance.

Multiple choice

24.A rolling ball has kinetic energy that is:

  • ABoth translational and rotational
  • BOnly translational
  • COnly rotational
  • DZero

Answer: A

It moves forward and spins at the same time.

Multiple choice

25.A solid cylinder and a hollow cylinder of the same mass and radius roll down a slope. Which reaches the bottom first?

  • ABoth at the same time
  • BNeither moves
  • CThe hollow cylinder
  • DThe solid cylinder

Answer: D

The solid cylinder has a smaller moment of inertia, so less energy goes into spinning.

Multiple choice

26.A wheel makes 120 revolutions per minute. What is its angular velocity?

  • A2 rad/s
  • B4π rad/s
  • C120 rad/s
  • Dπ rad/s

Answer: B

f = 2 rev/s; ω = 2πf = 4π ≈ 12.6 rad/s.

Multiple choice

27.Flywheels are used in engines to:

  • AIncrease friction
  • BStore rotational kinetic energy and smooth out motion
  • CReduce mass
  • DCool the engine

Answer: B

Their large moment of inertia resists changes in speed.

Multiple choice

28.The SI unit of angular momentum is:

  • AN m
  • Bkg m²/s
  • Crad/s²
  • DJ

Answer: B

L = Iω: kg m² × rad/s.

Multiple choice

29.A door handle is placed far from the hinges so that:

  • AFriction is reduced
  • BThe door is lighter
  • CA small force produces a large torque
  • DThe door rotates slower

Answer: C

Torque = force × distance from the axis.

Multiple choice

30.A 0.2 kg stone is whirled on a 0.5 m string at 4 rad/s. What is its angular momentum?

  • A1.6 kg m²/s
  • B0.8 kg m²/s
  • C0.4 kg m²/s
  • D0.2 kg m²/s

Answer: D

I = mr² = 0.2 × 0.25 = 0.05 kg m²; L = Iω = 0.05 × 4 = 0.2 kg m²/s.

True or false

31.Moment of inertia depends on how mass is distributed about the axis.

Answer: True

Mass far from the axis increases I.

True or false

32.Torque is the rotational equivalent of force.

Answer: True

τ = Iα mirrors F = ma.

True or false

33.If no external torque acts, angular momentum is conserved.

Answer: True

Iω stays constant.

True or false

34.A spinning skater slows down when she pulls her arms in.

Answer: False

She speeds up, because her moment of inertia decreases.

True or false

35.Rotational kinetic energy is ½Iω².

Answer: True

The rotational form of ½mv².

Fill in the blank

36.The turning effect of a force is called ______.

Answer: torque (moment)

τ = F × r.

Fill in the blank

37.The rotational equivalent of mass is the moment of ______.

Answer: inertia

I = Σmr².

Fill in the blank

38.Angular momentum L = I × ______.

Answer: ω (angular velocity, w)

L = Iω.

Fill in the blank

39.The SI unit of angular velocity is the ______ per second.

Answer: radian

rad/s.

Fill in the blank

40.Newton's second law for rotation is τ = I × ______.

Answer: α (angular acceleration, a)

τ = Iα.

Back to top ↑

Unit 3: Electromagnetic Induction

Multiple choice

1.Faraday's law of electromagnetic induction relates induced EMF to:

  • AThe rate of change of magnetic flux
  • BThe magnitude of the magnetic field only
  • CThe resistance of the coil
  • DThe current flowing through the coil

Answer: A

Faraday's law states that the induced EMF equals the negative rate of change of magnetic flux linkage: EMF = -dΦ/dt.

Multiple choice

2.Lenz's law states that the direction of induced current is such that it:

  • AOpposes the change producing it
  • BIs always clockwise
  • CHas no defined direction
  • DAids the change producing it

Answer: A

Lenz's law: the induced current flows in a direction that opposes the change in flux that caused it, consistent with conservation of energy.

Multiple choice

3.Motional EMF is induced when:

  • AA conductor moves through a magnetic field, cutting field lines
  • BA stationary conductor is placed in a static field
  • CCurrent flows through a resistor
  • DA capacitor is charged

Answer: A

A conductor moving through a magnetic field, cutting through field lines, induces a motional EMF given by EMF = BLv (for motion perpendicular to B and the conductor).

Multiple choice

4.The formula for motional EMF of a rod of length L moving with velocity v perpendicular to field B is:

  • AEMF = B/Lv
  • BEMF = BLv
  • CEMF = BvL²
  • DEMF = BL/v

Answer: B

Motional EMF for a straight conductor moving perpendicular to both its length and a uniform field is EMF = BLv.

Multiple choice

5.Self-inductance of a coil is defined by the relation:

  • AEMF = I/L
  • BEMF = -L(dI/dt)
  • CEMF = L·I
  • DEMF = -LI²

Answer: B

Self-induced EMF is given by EMF = -L(dI/dt), where L is the self-inductance of the coil.

Multiple choice

6.The SI unit of inductance is the:

  • AOhm
  • BFarad
  • CHenry
  • DTesla

Answer: C

Inductance is measured in henries (H).

Multiple choice

7.Mutual inductance describes:

  • AInduction within a single coil due to its own changing current
  • BThe capacitance between two coils
  • CThe resistance between two coils
  • DInduction in one coil due to changing current in a nearby coil

Answer: D

Mutual inductance is the EMF induced in one coil due to a changing current in a neighbouring coil, the basis of transformer operation.

Multiple choice

8.A transformer works on the principle of:

  • ASelf-inductance only
  • BMutual induction between coils sharing a magnetic core
  • CThe motor effect
  • DElectrostatic induction

Answer: B

A transformer transfers energy between coils via mutual induction, using a shared magnetic core to link the changing flux.

Multiple choice

9.For an ideal transformer, the turns ratio relates voltages as:

  • AV1V2 = N1N2
  • BV1/V2 = N1/N2
  • CV1+V2 = N1+N2
  • DV1/V2 = N2/N1

Answer: B

For an ideal transformer, V1/V2 = N1/N2, where V1, V2 are primary/secondary voltages and N1, N2 are the corresponding turns.

Multiple choice

10.A step-up transformer:

  • AKeeps both voltage and current the same
  • BOnly works with DC
  • CIncreases voltage and decreases current
  • DDecreases voltage and increases current

Answer: C

A step-up transformer has more secondary turns than primary, increasing voltage while decreasing current (conserving power, ideally).

Multiple choice

11.Eddy currents are induced circulating currents that:

  • AOnly occur in insulators
  • BAlways increase efficiency of machines
  • CAre induced in bulk conductors due to changing magnetic flux, causing energy loss
  • DAre unrelated to electromagnetic induction

Answer: C

Eddy currents are loops of induced current in bulk conducting material due to changing flux, generally causing unwanted heating and energy loss.

Multiple choice

12.Laminating the iron core of a transformer helps to:

  • AIncrease eddy current losses
  • BIncrease resistance of the winding
  • CChange the turns ratio
  • DReduce eddy current losses

Answer: D

Laminating the core into thin insulated sheets increases resistance to eddy current loops, reducing associated energy losses.

Multiple choice

13.An AC generator converts:

  • AMechanical energy to electrical energy
  • BChemical energy to electrical energy directly
  • CHeat energy to light energy
  • DElectrical energy to mechanical energy

Answer: A

A generator (alternator/dynamo) converts mechanical energy (rotation) into electrical energy via electromagnetic induction.

Multiple choice

14.The induced EMF in a rotating coil generator is maximum when the coil plane is:

  • AAt 45° to the magnetic field
  • BStationary
  • CPerpendicular to the magnetic field
  • DParallel to the magnetic field

Answer: D

EMF is maximum when the rate of change of flux is greatest, which occurs when the coil plane is parallel to the field (flux through the coil is momentarily zero but changing fastest).

Multiple choice

15.Increasing the speed of rotation of a generator coil ___ the induced EMF.

  • ADecreases
  • BHalves
  • CHas no effect on
  • DIncreases

Answer: D

Since EMF depends on the rate of change of flux, increasing rotational speed increases the induced EMF.

Multiple choice

16.A coil of N turns experiences a changing flux of dΦ/dt. The induced EMF is:

  • AEMF = dΦ/dt
  • BEMF = N(dΦ/dt)
  • CEMF = dΦ/(Ndt)
  • DEMF = N/(dΦ/dt)

Answer: B

For a coil of N turns, the total induced EMF is N times the rate of change of flux through a single turn: EMF = N(dΦ/dt).

Multiple choice

17.Lenz's law is a consequence of the conservation of:

  • AMass
  • BEnergy
  • CMomentum only
  • DCharge

Answer: B

Lenz's law ensures that induced currents oppose the change causing them, consistent with the conservation of energy (otherwise energy could be created from nothing).

Multiple choice

18.A magnet moving towards a coil induces a current that creates a magnetic field which:

  • AInstantly stops all motion
  • BAttracts the magnet further in
  • COpposes the magnet's motion (repels it)
  • DHas no interaction with the magnet

Answer: C

By Lenz's law, the induced current opposes the change (the approaching magnet), creating a field that repels the magnet, resisting its motion.

Multiple choice

19.Transformers only work with:

  • ADirect current (DC)
  • BAlternating current (AC)
  • CBoth AC and DC equally well
  • DNeither AC nor DC

Answer: B

Transformers require a changing magnetic flux, so they only function with alternating current, not steady DC.

Multiple choice

20.The efficiency of a real transformer is reduced mainly due to:

  • AExcessive turns ratio
  • BResistive losses in windings and eddy current/hysteresis losses in the core
  • CPerfect coupling of magnetic flux
  • DUsing AC instead of DC

Answer: B

Real transformers lose some energy to resistance in the windings (copper losses) and eddy currents/hysteresis in the core (iron losses).

Multiple choice

21.A rod of length 0.5 m moves at 4 m/s perpendicular to a 0.2 T field. The induced EMF is:

  • A0.4 V
  • B0.8 V
  • C0.04 V
  • D4 V

Answer: A

EMF = BLv = 0.2 × 0.5 × 4 = 0.4 V.

Multiple choice

22.If the number of turns in the secondary coil of a transformer is greater than the primary, the transformer:

  • ASteps up voltage
  • BKeeps voltage the same
  • CSteps down voltage
  • DCannot function

Answer: A

More secondary turns than primary turns results in a higher output voltage than input — a step-up transformer.

Multiple choice

23.The induced current opposing an increasing flux through a coil will flow in a direction to:

  • AHave zero magnetic effect
  • BReverse the applied field's source
  • CCreate a magnetic field opposing the increase
  • DIncrease the flux further

Answer: C

According to Lenz's law, the induced current creates a magnetic field that opposes the increasing flux, i.e. acts to reduce the rate of increase.

Multiple choice

24.A generator's EMF output can be increased by:

  • AUsing a weaker magnet
  • BDisconnecting the coil
  • CReducing the number of coil turns
  • DIncreasing the speed of rotation or the number of turns

Answer: D

EMF can be increased by rotating the coil faster, using more turns, or using a stronger magnetic field — all increase the rate of flux change.

Multiple choice

25.A step-down transformer is commonly used in household appliance adaptors to:

  • AReduce the mains voltage to a safer, lower level for the device
  • BConvert AC directly into chemical energy
  • CStore electrical energy
  • DIncrease the mains voltage for the device

Answer: A

Step-down transformers reduce high mains voltage to the lower voltage required by many household electronic devices.

Multiple choice

26.Mutual inductance between two coils depends on:

  • AThe geometry, turns, and relative position/coupling of the two coils
  • BOnly the current in the primary coil
  • CThe voltage source frequency only
  • DThe colour of the wire

Answer: A

Mutual inductance depends on the physical arrangement, number of turns, and how well the magnetic flux links the two coils.

Multiple choice

27.A changing electric field can also induce a magnetic field, according to:

  • AOhm's law
  • BCoulomb's law
  • CFaraday's law alone
  • DMaxwell's extension of Ampere's law

Answer: D

Maxwell showed that a changing electric field also produces a magnetic field, extending Ampere's law and unifying electromagnetism.

Multiple choice

28.Induction cookers work by using:

  • AStatic electric charge
  • BChemical combustion
  • CEddy currents induced in the cooking pan by a changing magnetic field
  • DDirect resistive heating from mains current

Answer: C

Induction cookers use a coil producing a changing magnetic field, which induces eddy currents in a ferromagnetic pan, heating it directly.

Multiple choice

29.The unit of magnetic flux, the weber, is equivalent to:

  • AOhm-second
  • BWatt-second
  • CVolt-second
  • DAmpere-second

Answer: C

One weber equals one volt-second (Wb = V·s), consistent with EMF = -dΦ/dt.

Multiple choice

30.A bicycle dynamo generates electricity by:

  • AStatic friction alone
  • BChemical reaction
  • CSolar energy conversion
  • DElectromagnetic induction from a rotating magnet near a coil

Answer: D

A bicycle dynamo uses the wheel's rotation to spin a magnet near a coil, inducing an EMF via electromagnetic induction.

True or false

31.Lenz's law is essentially a statement of the conservation of energy.

Answer: True

Since induced effects always oppose the change that causes them, energy must be supplied to maintain that change, consistent with conservation of energy.

True or false

32.A stationary coil in a stationary magnetic field will have an induced EMF.

Answer: False

Since there is no change in flux (nothing moving, nothing changing), no EMF is induced in a stationary coil in a static field.

True or false

33.Transformers can step up or step down both AC and DC voltages equally well.

Answer: False

Transformers rely on changing flux and work only with AC; they do not function to transform steady DC voltages.

True or false

34.Eddy currents are generally undesirable in transformer cores because they cause energy loss as heat.

Answer: True

Eddy currents circulating in the core dissipate energy as heat, reducing transformer efficiency, so they are minimized using laminated cores.

True or false

35.The induced EMF in a coil depends only on the number of turns, not on the rate of change of flux.

Answer: False

Induced EMF depends on both the number of turns and the rate of change of flux: EMF = N(dΦ/dt).

Fill in the blank

36.The law stating that induced EMF equals the rate of change of flux is ______'s law.

Answer: Faraday

Faraday's law of electromagnetic induction: EMF = -N(dΦ/dt).

Fill in the blank

37.The law that gives the direction of induced current, opposing the change producing it, is ______'s law.

Answer: Lenz

Lenz's law gives the direction of induced current, always opposing the change in flux.

Fill in the blank

38.The property of a coil that opposes changes in its own current is called ______-inductance.

Answer: self

Self-inductance is the property by which a changing current in a coil induces an opposing EMF in itself.

Fill in the blank

39.A device that transfers electrical energy between two coils via a shared changing magnetic flux is called a ______.

Answer: transformer

A transformer uses mutual induction between primary and secondary coils to transfer and transform AC voltage/current.

Fill in the blank

40.Unwanted circulating currents induced in bulk conductors due to changing flux are called ______ currents.

Answer: eddy

Eddy currents are induced loops of current in conducting material, often causing unwanted heating.

Back to top ↑

Unit 4: Alternating Current

Multiple choice

1.An alternating current is one that:

  • AFlows in one direction only
  • BRemains constant in magnitude and direction
  • CPeriodically reverses direction and varies in magnitude
  • DOnly flows through capacitors

Answer: C

Alternating current periodically changes direction and magnitude, typically following a sinusoidal pattern.

Multiple choice

2.The root-mean-square (rms) value of an AC voltage relates to peak voltage V0 by:

  • AVrms = V0
  • BVrms = V0√2
  • CVrms = 2V0
  • DVrms = V0/√2

Answer: D

For a sinusoidal AC signal, Vrms = V0/√2 ≈ 0.707 V0.

Multiple choice

3.The rms value of AC is significant because it represents:

  • AThe average value over a full cycle (which is zero for sine waves)
  • BA DC value that would produce the same average power/heating effect
  • CThe maximum instantaneous value
  • DThe frequency of the AC signal

Answer: B

The rms value represents the equivalent DC value that would produce the same average power dissipation in a resistor.

Multiple choice

4.The frequency of standard mains AC supply is commonly:

  • A50 or 60 Hz
  • B500 Hz
  • C5000 Hz
  • D1 Hz

Answer: A

Mains AC frequency is typically 50 Hz (many countries including Rwanda) or 60 Hz (e.g., USA).

Multiple choice

5.In a purely resistive AC circuit, current and voltage are:

  • AUndefined
  • BIn phase with each other
  • C180° out of phase
  • D90° out of phase

Answer: B

In a purely resistive circuit, current and voltage reach their maximum and zero values simultaneously — they are in phase.

Multiple choice

6.In a purely capacitive AC circuit, the current:

  • AIs in phase with voltage
  • BLags the voltage by 90°
  • CLeads the voltage by 90°
  • DIs always zero

Answer: C

In a purely capacitive circuit, current leads voltage by 90° (a common memory aid is 'ICE': in a Capacitor, I leads E).

Multiple choice

7.In a purely inductive AC circuit, the current:

  • AIs in phase with voltage
  • BIs always maximum
  • CLags the voltage by 90°
  • DLeads the voltage by 90°

Answer: C

In a purely inductive circuit, current lags voltage by 90° ('ELI': in an inductor L, E leads I).

Multiple choice

8.Capacitive reactance is given by:

  • AXc = 2πf/C
  • BXc = 2πfC
  • CXc = C/(2πf)
  • DXc = 1/(2πfC)

Answer: D

Capacitive reactance Xc = 1/(2πfC), which decreases as frequency increases.

Multiple choice

9.Inductive reactance is given by:

  • AXL = L/(2πf)
  • BXL = 2πfL
  • CXL = 2πf/L
  • DXL = 1/(2πfL)

Answer: B

Inductive reactance XL = 2πfL, which increases as frequency increases.

Multiple choice

10.As frequency increases, capacitive reactance:

  • ADecreases
  • BRemains constant
  • CBecomes infinite
  • DIncreases

Answer: A

Since Xc = 1/(2πfC), reactance decreases as frequency increases — capacitors pass higher frequencies more easily.

Multiple choice

11.As frequency increases, inductive reactance:

  • ARemains constant
  • BBecomes zero
  • CDecreases
  • DIncreases

Answer: D

Since XL = 2πfL, reactance increases with frequency — inductors oppose higher frequencies more strongly.

Multiple choice

12.Impedance in an AC circuit is the:

  • ATotal opposition to current flow, combining resistance and reactance
  • BSame as resistance for all circuits
  • COnly relevant in DC circuits
  • DPurely due to capacitors

Answer: A

Impedance Z is the total opposition to AC current flow, combining both resistance and reactance (Z = √(R² + X²) for series RLC).

Multiple choice

13.Resonance in a series LCR circuit occurs when:

  • AXL = 0 and Xc = 0
  • BFrequency is zero
  • CR = 0
  • DXL = Xc

Answer: D

Resonance occurs when inductive and capacitive reactances are equal (XL = Xc), making impedance purely resistive and minimum.

Multiple choice

14.At resonance in a series LCR circuit, the impedance is:

  • AMaximum
  • BInfinite
  • CMinimum (equal to resistance R)
  • DZero

Answer: C

At resonance, XL and Xc cancel, leaving only resistance R, which is the minimum possible impedance for that circuit.

Multiple choice

15.The resonant frequency of a series LCR circuit is given by:

  • Af0 = 1/(LC)
  • Bf0 = 1/(2π√(LC))
  • Cf0 = 2π√(LC)
  • Df0 = LC/2π

Answer: B

The resonant frequency is f0 = 1/(2π√(LC)), derived by setting XL = Xc.

Multiple choice

16.Average power in a purely resistive AC circuit is given by:

  • AP = V0I0
  • BP = VrmsIrms
  • CP = VrmsI0
  • DP = 2VrmsIrms

Answer: B

Average power dissipated in a resistive AC circuit is P = VrmsIrms (= Irms²R = Vrms²/R).

Multiple choice

17.The average power delivered in a purely reactive (inductive or capacitive) AC circuit is:

  • AMaximum
  • BEqual to resistive power
  • CNegative always
  • DZero

Answer: D

In a purely reactive circuit, current and voltage are 90° out of phase, so the average power delivered over a cycle is zero.

Multiple choice

18.Power factor in an AC circuit is defined as:

  • Acosθ, where θ is the phase angle between V and I
  • Btanθ
  • CAlways equal to 1
  • Dsinθ, where θ is the phase angle

Answer: A

Power factor = cosθ, where θ is the phase difference between voltage and current; it indicates the effectiveness of power delivery.

Multiple choice

19.A capacitor connected across an AC supply allows current to flow because:

  • ACharge physically crosses between the plates
  • BIt behaves like a pure resistor
  • CIt rectifies the AC
  • DThe capacitor continuously charges and discharges as the voltage alternates

Answer: D

Although no charge crosses the gap between plates, the continuous charging and discharging as AC voltage alternates results in an effective AC current flow.

Multiple choice

20.An AC voltage of peak value 340 V has an rms value of approximately:

  • A480 V
  • B170 V
  • C240 V
  • D340 V

Answer: C

Vrms = V0/√2 = 340/1.414 ≈ 240 V, a typical mains rms voltage.

Multiple choice

21.Which quantity remains constant regardless of frequency in an AC circuit containing only a resistor?

  • AResistance
  • BImpedance angle
  • CPhase difference
  • DReactance

Answer: A

A pure resistor's resistance R does not depend on frequency, unlike reactance which changes with frequency in capacitors and inductors.

Multiple choice

22.The phase angle between current and voltage in a series LCR circuit at resonance is:

  • A45°
  • B180°
  • C0°
  • D90°

Answer: C

At resonance, the circuit behaves purely resistively, so current and voltage are in phase (phase angle = 0°).

Multiple choice

23.A transformer is more efficient with AC than DC because:

  • AAC creates a continuously changing flux needed for induction
  • BDC produces stronger magnetic fields
  • CAC has no frequency
  • DDC has no voltage

Answer: A

Only a changing current (as in AC) produces a continuously changing magnetic flux, which is required for transformer operation via mutual induction.

Multiple choice

24.At very low frequency, a capacitor in an AC circuit behaves almost like:

  • AA short circuit
  • BAn open circuit (very high reactance)
  • CA pure resistor
  • DAn inductor

Answer: B

Since Xc = 1/(2πfC), as frequency approaches zero, reactance becomes very large, so the capacitor behaves almost like an open circuit (as with DC).

Multiple choice

25.At very high frequency, an inductor in an AC circuit behaves almost like:

  • AA capacitor
  • BAn open circuit (very high reactance)
  • CA pure resistor
  • DA short circuit

Answer: B

Since XL = 2πfL, as frequency increases, reactance becomes very large, so the inductor behaves almost like an open circuit at high frequency.

Multiple choice

26.Household electricity meters usually measure energy consumption in:

  • AKilowatt-hours
  • BWatts
  • CAmperes
  • DVolts

Answer: A

Electrical energy consumption for billing is typically measured in kilowatt-hours (kWh).

Multiple choice

27.A step-up transformer used to transmit electricity over long distances helps by:

  • AIncreasing current, reducing power loss
  • BIncreasing voltage, reducing current, and reducing resistive power loss (I²R)
  • CEliminating resistive losses completely
  • DOnly reducing voltage for safety

Answer: B

Stepping up voltage for transmission reduces the current needed for a given power, which reduces I²R losses in transmission lines.

Multiple choice

28.Quality factor (Q) of a resonant LCR circuit indicates:

  • AThe total resistance only
  • BThe transformer turns ratio
  • CThe DC power dissipated
  • DThe sharpness of resonance (how selective the circuit is)

Answer: D

The Q factor describes how sharp and narrow the resonance peak is — higher Q means a more selective (narrower bandwidth) resonant circuit.

Multiple choice

29.A rectifier is used to convert:

  • AAC to DC
  • BResistance to reactance
  • CDC to AC
  • DVoltage to current

Answer: A

A rectifier circuit (using diodes) converts alternating current into direct current.

Multiple choice

30.An oscilloscope displaying an AC signal typically shows:

  • AA random pattern with no periodicity
  • BA single dot
  • CA sinusoidal waveform varying with time
  • DA straight horizontal line

Answer: C

An oscilloscope displays the AC voltage as a sinusoidal waveform, showing how it varies periodically with time.

True or false

31.The average value of a pure sine wave AC voltage over a complete cycle is zero.

Answer: True

Since the positive and negative halves of a sine wave are symmetric, their average over a full cycle is exactly zero.

True or false

32.In a purely resistive AC circuit, no phase difference exists between voltage and current.

Answer: True

Resistors do not introduce any phase shift, so voltage and current remain in phase in a purely resistive AC circuit.

True or false

33.At resonance, a series LCR circuit has maximum impedance.

Answer: False

At resonance, impedance is minimum (equal to R alone), not maximum, since the reactances cancel.

True or false

34.Inductive reactance decreases with increasing frequency.

Answer: False

Inductive reactance XL = 2πfL increases with frequency, the opposite of capacitive reactance.

True or false

35.Power factor of 1 indicates that voltage and current are perfectly in phase.

Answer: True

A power factor of cosθ = 1 means θ = 0°, so voltage and current are exactly in phase, giving maximum real power transfer.

Fill in the blank

36.The rms value of a sinusoidal peak voltage V0 is Vrms = V0/______.

Answer: √2

Vrms = V0/√2 for a sinusoidal AC waveform.

Fill in the blank

37.The opposition offered by a capacitor to AC current is called capacitive ______.

Answer: reactance

Capacitive reactance Xc = 1/(2πfC) is the opposition a capacitor offers to alternating current.

Fill in the blank

38.The condition XL = Xc in a series LCR circuit defines the point of ______.

Answer: resonance

Resonance occurs precisely when inductive and capacitive reactances are equal in magnitude.

Fill in the blank

39.The total opposition to current flow in an AC circuit, combining resistance and reactance, is called ______.

Answer: impedance

Impedance (Z) is the combined opposition to AC current from both resistance and reactance.

Fill in the blank

40.cosθ, the ratio that indicates how effectively power is delivered in an AC circuit, is called the ______ factor.

Answer: power

The power factor, cosθ, indicates the phase relationship between voltage and current and how effectively real power is delivered.

Back to top ↑

Unit 5: Atomic Nuclei and Radioactive Decay

Multiple choice

1.The nucleus of an atom is composed of:

  • AProtons and electrons
  • BNeutrons and electrons
  • COnly protons
  • DProtons and neutrons

Answer: D

The atomic nucleus contains protons (positively charged) and neutrons (neutral), collectively called nucleons.

Multiple choice

2.Isotopes of an element have:

  • AThe same number of neutrons but different numbers of protons
  • BNo neutrons at all
  • CDifferent atomic numbers
  • DThe same number of protons but different numbers of neutrons

Answer: D

Isotopes share the same atomic number (same number of protons) but differ in neutron number, giving different mass numbers.

Multiple choice

3.Alpha decay involves the emission of:

  • AA high-energy electron
  • BA photon only
  • CA neutrino only
  • DA helium nucleus (2 protons and 2 neutrons)

Answer: D

Alpha particles are helium nuclei consisting of 2 protons and 2 neutrons, emitted during alpha decay.

Multiple choice

4.Beta-minus decay involves the emission of:

  • AA helium nucleus
  • BA gamma ray only
  • CAn electron (and an antineutrino), as a neutron converts to a proton
  • DA proton only

Answer: C

In beta-minus decay, a neutron in the nucleus converts into a proton, emitting an electron and an antineutrino.

Multiple choice

5.Gamma decay involves the emission of:

  • AAn electron
  • BA high-energy photon
  • CA neutron
  • DA helium nucleus

Answer: B

Gamma decay is the emission of high-energy electromagnetic radiation (photons) as a nucleus transitions from an excited to a lower energy state.

Multiple choice

6.The half-life of a radioactive isotope is defined as:

  • AThe time for the isotope to become stable permanently and instantly
  • BThe time for half of the radioactive nuclei in a sample to decay
  • CThe time for all atoms to decay completely
  • DThe total lifespan of the isotope

Answer: B

Half-life is the time required for half of the radioactive nuclei present in a sample to undergo decay.

Multiple choice

7.The radioactive decay law is expressed as:

  • AN = N0e^(-λt)
  • BN = N0e^(λt)
  • CN = N0λt
  • DN = N0/λt

Answer: A

The number of undecayed nuclei follows exponential decay: N = N0e^(-λt), where λ is the decay constant.

Multiple choice

8.The decay constant λ is related to half-life T½ by:

  • Aλ = T½/ln2
  • Bλ = T½ × ln2
  • Cλ = ln2/T½
  • Dλ = 2/T½

Answer: C

The relationship between decay constant and half-life is λ = ln2/T½ (approximately 0.693/T½).

Multiple choice

9.Activity of a radioactive sample is defined as:

  • AThe half-life of the sample
  • BThe rate of decay (number of decays per unit time)
  • CThe mass of the sample
  • DThe total number of nuclei present

Answer: B

Activity A = λN, the rate at which radioactive decays occur in a sample, usually measured in becquerels (Bq).

Multiple choice

10.The SI unit of radioactive activity is the:

  • AGray
  • BSievert
  • CCurie
  • DBecquerel

Answer: D

The becquerel (Bq) is the SI unit of radioactivity, equal to one decay per second.

Multiple choice

11.Which type of radiation has the greatest penetrating power?

  • AAlpha particles
  • BGamma rays
  • CBeta particles
  • DAll have equal penetrating power

Answer: B

Gamma rays are electromagnetic radiation with the highest penetrating power, able to pass through several centimetres of lead, unlike alpha or beta particles.

Multiple choice

12.Alpha particles can typically be stopped by:

  • ANothing can stop them
  • BA sheet of paper
  • CThick lead or concrete
  • DA few millimetres of aluminium

Answer: B

Alpha particles have low penetrating power and can be stopped by just a sheet of paper or a few centimetres of air.

Multiple choice

13.Mass defect in a nucleus refers to:

  • AThe number of neutrons only
  • BThe charge of the nucleus
  • CThe total mass of the nucleus
  • DThe difference between the mass of the nucleus and the sum of masses of its separate nucleons

Answer: D

Mass defect is the small difference between the total mass of separate nucleons and the actual (lower) mass of the bound nucleus, converted to binding energy.

Multiple choice

14.According to Einstein's mass-energy relation, energy equivalent to mass m is given by:

  • AE = mc²
  • BE = m²c
  • CE = m/c²
  • DE = mc

Answer: A

Einstein's famous equation E = mc² relates mass and energy, where c is the speed of light.

Multiple choice

15.Binding energy of a nucleus represents:

  • AThe charge of the nucleus
  • BThe energy released when a nucleus is formed from its separate nucleons
  • CThe kinetic energy of the nucleus
  • DThe half-life of the nucleus

Answer: B

Binding energy is the energy equivalent of the mass defect, representing the energy needed to separate a nucleus into its individual nucleons (or released when it forms).

Multiple choice

16.Nuclear fission is a process in which:

  • AA heavy nucleus splits into two lighter nuclei, releasing energy
  • BTwo light nuclei combine into a heavier one
  • CA light nucleus splits into two lighter fragments
  • DA nucleus emits only gamma rays

Answer: A

Nuclear fission involves a heavy nucleus (like uranium-235) splitting into two lighter nuclei, releasing significant energy and often more neutrons.

Multiple choice

17.Nuclear fusion is a process in which:

  • ALight nuclei combine to form a heavier nucleus, releasing energy
  • BHeavy nuclei split apart
  • CElectrons are captured by the nucleus
  • DOnly gamma radiation occurs

Answer: A

Nuclear fusion involves light nuclei (like hydrogen isotopes) combining to form a heavier nucleus, releasing large amounts of energy — the process powering stars.

Multiple choice

18.Nuclear fusion powers:

  • AThe Sun and other stars
  • BRadioactive decay of heavy elements
  • CNuclear power stations on Earth exclusively
  • DOnly artificial nuclear weapons

Answer: A

Stars, including the Sun, are powered primarily by nuclear fusion, mainly converting hydrogen into helium.

Multiple choice

19.A chain reaction in nuclear fission occurs when:

  • AOnly gamma rays are produced
  • BNo neutrons are released at all
  • CA single fission event happens once and stops
  • DEach fission event releases neutrons that trigger further fission events

Answer: D

In a chain reaction, neutrons released by one fission event go on to trigger further fission events in neighbouring nuclei, sustaining the reaction.

Multiple choice

20.Nuclear power stations typically use fission of which element?

  • AUranium (or plutonium)
  • BHelium
  • CCarbon
  • DHydrogen

Answer: A

Nuclear power stations commonly use uranium-235 (or plutonium) as fuel for controlled fission reactions to generate heat and electricity.

Multiple choice

21.A control rod in a nuclear reactor is used to:

  • ACool the reactor using water only
  • BGenerate radioactive waste intentionally
  • CIncrease the number of fission events uncontrollably
  • DAbsorb excess neutrons and control the rate of the chain reaction

Answer: D

Control rods, often made of materials like boron or cadmium, absorb neutrons to regulate and control the rate of the fission chain reaction.

Multiple choice

22.Ionizing radiation can be harmful to living tissue mainly because it:

  • AIncreases photosynthesis in cells
  • BCan damage or alter molecules such as DNA within cells
  • CHas no interaction with matter
  • DOnly affects non-living matter

Answer: B

Ionizing radiation can damage biological molecules, including DNA, potentially causing cell damage or mutations, which is why radiation exposure must be carefully controlled.

Multiple choice

23.Radioactive dating (e.g., carbon-14 dating) relies on:

  • AThe temperature of the sample
  • BThe constant, known half-life of a radioactive isotope in a sample
  • CThe colour of the sample
  • DThe total mass of the sample only

Answer: B

Radiometric dating uses the known, constant half-life of a radioactive isotope (like carbon-14) to estimate the age of a sample based on how much has decayed.

Multiple choice

24.A sample with a half-life of 10 years will have what fraction remaining after 20 years?

  • A1/4
  • B1/16
  • C1/8
  • D1/2

Answer: A

After 20 years (2 half-lives), the remaining fraction is (1/2)² = 1/4.

Multiple choice

25.The atomic number Z of a nucleus represents:

  • AThe mass number
  • BThe total number of nucleons
  • CThe number of protons
  • DThe number of neutrons

Answer: C

Atomic number Z is the number of protons in the nucleus, which determines the element's identity.

Multiple choice

26.The mass number A of a nucleus represents:

  • AThe number of neutrons only
  • BThe number of protons only
  • CThe total number of protons and neutrons
  • DThe number of electrons

Answer: C

Mass number A = number of protons + number of neutrons (total nucleons) in the nucleus.

Multiple choice

27.In beta-plus (positron) decay, a proton in the nucleus converts into:

  • AA photon only
  • BAn electron directly
  • CA neutron, emitting a positron and a neutrino
  • DAnother proton

Answer: C

In beta-plus decay, a proton converts into a neutron, emitting a positron (positive electron) and a neutrino.

Multiple choice

28.Radioactive decay is a random process, meaning:

  • AEvery nucleus decays at exactly the same predictable time
  • BNo mathematical model can describe it at all
  • CIt is impossible to predict exactly when any individual nucleus will decay, but statistical behaviour of large samples is predictable
  • DOnly large samples decay, never individual atoms

Answer: C

While the exact decay time of any single nucleus is random and unpredictable, the statistical behaviour of a large collection of nuclei follows a predictable exponential decay law.

Multiple choice

29.Which safety precaution is commonly used to protect against radioactive exposure?

  • AMinimizing exposure time, maximizing distance, and using shielding
  • BRemoving all protective clothing
  • CStanding as close as possible to the source
  • DIncreasing exposure time

Answer: A

The standard principles for radiation safety are minimizing time of exposure, maximizing distance from the source, and using appropriate shielding.

Multiple choice

30.The energy released in nuclear fission/fusion reactions comes primarily from:

  • ASimple kinetic energy transfer only
  • BGravitational potential energy
  • CConversion of a small amount of mass into energy (via E=mc²)
  • DChemical bond breaking

Answer: C

The enormous energy from nuclear reactions arises because a small amount of mass is converted directly into energy, as described by E = mc².

True or false

31.Isotopes of the same element have identical chemical properties but different atomic masses.

Answer: True

Since isotopes have the same number of protons (and electrons), their chemical properties are essentially identical, but differing neutron numbers give different atomic masses.

True or false

32.Gamma rays are the least penetrating type of nuclear radiation.

Answer: False

Gamma rays are the most penetrating type of the three main types of nuclear radiation (alpha, beta, gamma).

True or false

33.Nuclear fusion releases energy by combining light nuclei into a heavier nucleus.

Answer: True

Fusion combines light nuclei (e.g., hydrogen isotopes) into a heavier nucleus, releasing energy in the process.

True or false

34.The half-life of a radioactive isotope changes with temperature and pressure.

Answer: False

Half-life is a nuclear property that is essentially constant, unaffected by external conditions like temperature, pressure, or chemical state.

True or false

35.A chain reaction in nuclear fission requires the release of neutrons that trigger subsequent fission events.

Answer: True

Sustained chain reactions rely on neutrons released from each fission event going on to cause further fission in neighbouring nuclei.

Fill in the blank

36.The time taken for half of the radioactive nuclei in a sample to decay is called the ______.

Answer: half-life

Half-life is the characteristic time for half of a radioactive sample's nuclei to decay.

Fill in the blank

37.The SI unit of radioactive activity is the ______.

Answer: becquerel

Activity, the rate of nuclear decay, is measured in becquerels (Bq), equal to one decay per second.

Fill in the blank

38.The process in which a heavy nucleus splits into two lighter nuclei is called nuclear ______.

Answer: fission

Nuclear fission is the splitting of a heavy nucleus into two (or more) lighter nuclei, releasing energy.

Fill in the blank

39.The process in which light nuclei combine to form a heavier nucleus is called nuclear ______.

Answer: fusion

Nuclear fusion is the combination of light nuclei into a heavier nucleus, the process that powers stars.

Fill in the blank

40.The energy released when nucleons bind together to form a nucleus is called the ______ energy.

Answer: binding

Binding energy is the energy released (equivalent to the mass defect) when separate nucleons combine into a bound nucleus.

Back to top ↑

Unit 6: Nature of Particles and their Interactions

Multiple choice

1.An elementary (fundamental) particle is one that:

  • AIs heavier than an atom
  • BIs always charged
  • CIs made of smaller particles
  • DIs not known to be made of smaller particles

Answer: D

Quarks and leptons are thought to be elementary.

Multiple choice

2.Protons and neutrons are made of:

  • APhotons
  • BElectrons
  • CQuarks
  • DNeutrinos

Answer: C

Each contains three quarks.

Multiple choice

3.A proton is made of:

  • AThree down quarks
  • BOne up quark and two down quarks
  • CTwo up quarks and one down quark
  • DThree up quarks

Answer: C

uud: charges +2/3 + 2/3 − 1/3 = +1.

Multiple choice

4.A neutron is made of:

  • Audd
  • Buud
  • Cddd
  • Duuu

Answer: A

udd: +2/3 − 1/3 − 1/3 = 0.

Multiple choice

5.The charge of an up quark is:

  • A0
  • B+1
  • C+2/3
  • D−1/3

Answer: C

Up quarks carry +2/3 e; down quarks carry −1/3 e.

Multiple choice

6.Which of these is a lepton?

  • AProton
  • BNeutron
  • CPion
  • DElectron

Answer: D

Leptons include electrons, muons, taus and neutrinos.

Multiple choice

7.Particles made of quarks are called:

  • APhotons
  • BHadrons
  • CBosons only
  • DLeptons

Answer: B

Hadrons include baryons (three quarks) and mesons (quark–antiquark).

Multiple choice

8.A baryon is made of:

  • AA quark and an antiquark
  • BThree quarks
  • COne photon
  • DTwo leptons

Answer: B

Protons and neutrons are baryons.

Multiple choice

9.A meson is made of:

  • AA quark and an antiquark
  • BElectrons only
  • CThree quarks
  • DNeutrinos

Answer: A

Pions and kaons are mesons.

Multiple choice

10.The antiparticle of the electron is the:

  • AProton
  • BPositron
  • CNeutrino
  • DNeutron

Answer: B

The positron has the same mass but positive charge.

Multiple choice

11.When a particle meets its antiparticle, they:

  • ABecome heavier
  • BBounce off each other
  • CJoin to form a nucleus
  • DAnnihilate, producing energy (usually gamma photons)

Answer: D

Their mass is converted to energy, E = mc².

Multiple choice

12.An antiparticle has the same mass as its particle but:

  • AOpposite charge
  • BDouble the mass
  • CThe same charge
  • DNo energy

Answer: A

Other quantum numbers are also opposite.

Multiple choice

13.The four fundamental interactions are:

  • AGravity, electromagnetic, strong and weak
  • BHeat, light, sound and gravity
  • CFriction, tension, gravity and upthrust
  • DElectric, magnetic, nuclear and friction

Answer: A

All forces in nature come from these four.

Multiple choice

14.The strongest of the four fundamental interactions is the:

  • AGravitational force
  • BStrong interaction
  • CWeak interaction
  • DElectromagnetic force

Answer: B

It holds quarks and nucleons together.

Multiple choice

15.The weakest of the four fundamental interactions is:

  • AThe weak force
  • BThe electromagnetic force
  • CThe strong force
  • DGravity

Answer: D

Gravity is very weak but acts over huge distances.

Multiple choice

16.The interaction responsible for beta decay is the:

  • AWeak interaction
  • BStrong interaction
  • CGravitational interaction
  • DElectromagnetic interaction only

Answer: A

The weak force changes one quark flavour into another.

Multiple choice

17.The strong nuclear force acts:

  • AOnly over very short distances, about the size of a nucleus
  • BOnly between electrons
  • COnly in space
  • DOver very long distances

Answer: A

Its range is about 10⁻¹⁵ m.

Multiple choice

18.The particle that carries the electromagnetic force is the:

  • AW boson
  • BPhoton
  • CGraviton
  • DGluon

Answer: B

Charged particles exchange photons.

Multiple choice

19.The particle that carries the strong force between quarks is the:

  • ANeutrino
  • BPhoton
  • CGluon
  • DElectron

Answer: C

Gluons 'glue' quarks together.

Multiple choice

20.The weak interaction is carried by:

  • AGluons
  • BPhotons
  • CW and Z bosons
  • DElectrons

Answer: C

These are heavy exchange particles.

Multiple choice

21.Which quantity is conserved in all particle reactions?

  • ANumber of particles
  • BMass only
  • CElectric charge
  • DSpeed

Answer: C

Charge, energy, momentum and baryon and lepton numbers are conserved.

Multiple choice

22.The baryon number of a proton is:

  • A+1/3
  • B−1
  • C0
  • D+1

Answer: D

Each quark has baryon number +1/3; three quarks give +1.

Multiple choice

23.The lepton number of an electron is:

  • A−1
  • B+1
  • C0
  • D+1/3

Answer: B

Leptons have L = +1; antileptons have L = −1.

Multiple choice

24.In beta-minus decay, a neutron changes into:

  • ATwo electrons
  • BA positron and a neutrino
  • CA proton, an electron and an antineutrino
  • DA proton only

Answer: C

n → p + e⁻ + ν̄; charge and lepton number are conserved.

Multiple choice

25.Neutrinos are hard to detect because they:

  • ATravel slowly
  • BAre very heavy
  • CAre always destroyed
  • DHave no charge and interact extremely weakly with matter

Answer: D

Billions pass through your body every second.

Multiple choice

26.Particle accelerators are used to:

  • AMake particles collide at very high energies to study their structure
  • BStore water
  • CGenerate household electricity
  • DCool particles to absolute zero only

Answer: A

Collisions reveal new particles.

Multiple choice

27.Positrons are used in medicine in:

  • AStethoscopes
  • BPET (positron emission tomography) scans
  • CThermometers
  • DX-ray tubes only

Answer: B

Annihilation gamma rays reveal where a tracer collects.

Multiple choice

28.Matter is made of atoms; atoms contain a nucleus and:

  • APhotons
  • BAntiprotons
  • CGluons only
  • DElectrons

Answer: D

Electrons surround the nucleus of protons and neutrons.

Multiple choice

29.The total charge of a meson made of an up quark and an anti-down quark is:

  • A−1
  • B+1
  • C0
  • D+2/3

Answer: B

u (+2/3) + anti-d (+1/3) = +1 (this is the π⁺).

Multiple choice

30.Which conservation law rules out the decay p → e⁺ + γ?

  • ABaryon number conservation
  • BEnergy conservation only
  • CCharge conservation
  • DMomentum only

Answer: A

Baryon number changes from +1 to 0, so the decay is forbidden.

True or false

31.Electrons are made of quarks.

Answer: False

Electrons are leptons and are elementary.

True or false

32.A positron is the antiparticle of the electron.

Answer: True

Same mass, opposite charge.

True or false

33.Gravity is the strongest of the four fundamental interactions.

Answer: False

Gravity is the weakest; the strong force is the strongest.

True or false

34.Electric charge is conserved in all particle reactions.

Answer: True

Total charge before = total charge after.

True or false

35.Protons and neutrons are hadrons.

Answer: True

They are made of quarks.

Fill in the blank

36.Particles such as the electron and neutrino belong to the group called ______.

Answer: leptons

They do not feel the strong force.

Fill in the blank

37.The particles that make up protons and neutrons are called ______.

Answer: quarks

Up and down quarks.

Fill in the blank

38.When a particle and its antiparticle meet and turn into energy, the process is called ______.

Answer: annihilation

Usually producing gamma photons.

Fill in the blank

39.The force that holds quarks together inside protons and neutrons is the ______ force.

Answer: strong (nuclear)

Carried by gluons.

Fill in the blank

40.The exchange particle of the electromagnetic force is the ______.

Answer: photon

A quantum of light.

Back to top ↑

Unit 7: X-rays and Laser Radiations

Multiple choice

1.X-rays are:

  • AVisible light
  • BSound waves
  • CStreams of protons
  • DHigh-energy electromagnetic waves of very short wavelength

Answer: D

Their wavelengths are about 10⁻¹¹ to 10⁻⁸ m.

Multiple choice

2.X-rays were discovered in 1895 by:

  • AMarie Curie
  • BAlbert Einstein
  • CIsaac Newton
  • DWilhelm Röntgen

Answer: D

Röntgen noticed a glow from a cathode-ray tube.

Multiple choice

3.In an X-ray tube, X-rays are produced when:

  • ALight hits a mirror
  • BSound waves hit glass
  • CFast-moving electrons strike a metal target
  • DProtons are heated

Answer: C

The electrons decelerate suddenly and emit X-ray photons.

Multiple choice

4.Electrons in an X-ray tube are produced by:

  • AThe target anode
  • BA magnet
  • CCooling oil
  • DA hot filament (cathode) by thermionic emission

Answer: D

Heating the filament releases electrons.

Multiple choice

5.The metal target in an X-ray tube is usually made of tungsten because tungsten:

  • AHas a very high melting point and a high atomic number
  • BIs magnetic
  • CIs transparent
  • DIs cheap and soft

Answer: A

Most of the electrons' energy becomes heat, so the target must withstand high temperatures.

Multiple choice

6.Most of the energy of the electrons hitting an X-ray target is converted to:

  • ASound
  • BLight
  • CX-rays
  • DHeat

Answer: D

Only about 1 % becomes X-rays.

Multiple choice

7.Increasing the accelerating voltage of an X-ray tube produces X-rays that are:

  • AMore penetrating (harder), with shorter minimum wavelength
  • BSlower
  • CLess penetrating (softer)
  • DVisible

Answer: A

Higher-energy electrons produce higher-energy photons.

Multiple choice

8.Increasing the filament current in an X-ray tube increases the:

  • AAccelerating voltage
  • BEnergy of each X-ray photon
  • CWavelength
  • DIntensity (number) of X-rays produced

Answer: D

More electrons hit the target per second.

Multiple choice

9.The maximum energy of an X-ray photon from a tube operating at 30 kV is:

  • A3 MeV
  • B30 keV
  • C30 eV
  • D30 J

Answer: B

An electron accelerated through 30 kV gains 30 keV.

Multiple choice

10.X-rays are used to show broken bones because:

  • ABones reflect light
  • BBones emit X-rays
  • CX-rays bend around bones
  • DBone absorbs X-rays more than soft tissue does

Answer: D

Bones appear white on the image where fewer X-rays reach the detector.

Multiple choice

11.At airports, X-rays are used to:

  • AInspect the contents of luggage
  • BClean bags
  • CWeigh luggage
  • DMeasure temperature

Answer: A

Different materials absorb X-rays differently.

Multiple choice

12.A danger of X-rays is that they:

  • AAre ionising and can damage cells and DNA
  • BAre always harmless
  • CMake objects heavier
  • DAre too slow

Answer: A

Exposure must be kept as low as possible.

Multiple choice

13.Radiographers stand behind lead screens because lead:

  • AProduces X-rays
  • BAbsorbs X-rays strongly
  • CReflects light
  • DIs light

Answer: B

Lead's high density and atomic number stop X-rays.

Multiple choice

14.LASER stands for:

  • ALight Amplification by Stimulated Emission of Radiation
  • BLight And Sound Energy Radiation
  • CLarge Area Sound Emission Ray
  • DLow Amplitude Stimulated Electron Ray

Answer: A

The key process is stimulated emission.

Multiple choice

15.Stimulated emission occurs when:

  • AAn electron leaves the atom
  • BAn atom absorbs heat
  • CAn excited atom is struck by a photon of the right energy and emits an identical photon
  • DA nucleus splits

Answer: C

The new photon has the same frequency, phase and direction.

Multiple choice

16.Spontaneous emission happens when:

  • ATwo photons collide
  • BA laser is switched off
  • CAtoms are cooled
  • DAn excited atom drops to a lower level by itself, emitting a photon in a random direction

Answer: D

Ordinary lamps produce light this way.

Multiple choice

17.Population inversion in a laser means:

  • APhotons are absorbed
  • BMore atoms are in the excited state than in the lower state
  • CAll atoms are in the ground state
  • DAtoms have no energy

Answer: B

This is needed for stimulated emission to dominate.

Multiple choice

18.The process of supplying energy to the laser medium to create population inversion is called:

  • ACooling
  • BPumping
  • CDiffraction
  • DFocusing

Answer: B

Pumping can be done with light, electricity or chemical reactions.

Multiple choice

19.The two mirrors at the ends of a laser tube:

  • AAbsorb all light
  • BReflect photons back and forth to build up stimulated emission; one lets some light out
  • CCool the laser
  • DChange the colour of the light

Answer: B

One mirror is fully reflecting, the other partly transmitting.

Multiple choice

20.Laser light is monochromatic, meaning it:

  • AContains all colours
  • BSpreads out quickly
  • CHas a single wavelength (colour)
  • DIs invisible

Answer: C

All photons have the same frequency.

Multiple choice

21.Laser light is coherent, meaning its waves:

  • AHave random phases
  • BHave different frequencies
  • CAre in phase with each other
  • DTravel in all directions

Answer: C

Coherence allows interference and holography.

Multiple choice

22.A laser beam stays narrow over long distances because laser light is:

  • AHighly divergent
  • BVery weak
  • CHighly directional (collimated)
  • DWhite

Answer: C

Laser beams spread very little.

Multiple choice

23.Which is a medical use of lasers?

  • AEye surgery to correct vision
  • BTaking a pulse
  • CWeighing patients
  • DMeasuring blood pressure

Answer: A

Lasers reshape the cornea precisely.

Multiple choice

24.Barcode scanners in shops use:

  • AGamma rays
  • BLasers
  • CUltrasound
  • DX-rays

Answer: B

The laser is reflected from the black and white bars.

Multiple choice

25.Optical fibre communication uses laser light because laser light:

  • ATravels slower than other light
  • BIs very hot
  • CIs monochromatic and can carry signals over long distances with little spreading
  • DIs invisible

Answer: C

Pulses of laser light carry data.

Multiple choice

26.A danger of laser light is that it can:

  • ADamage the retina of the eye
  • BProduce sound
  • CCool the skin
  • DMake objects radioactive

Answer: A

Never look directly into a laser beam.

Multiple choice

27.Compared with visible light, X-rays have:

  • AThe same wavelength
  • BLonger wavelength and lower frequency
  • CShorter wavelength and higher frequency
  • DNo energy

Answer: C

X-rays are more energetic.

Multiple choice

28.A photon of X-rays has energy 1.6 × 10⁻¹⁵ J. Its energy in electronvolts is: (1 eV = 1.6 × 10⁻¹⁹ J)

  • A100 eV
  • B10 keV
  • C1 keV
  • D1 MeV

Answer: B

1.6 × 10⁻¹⁵ ÷ 1.6 × 10⁻¹⁹ = 10⁴ eV = 10 keV.

Multiple choice

29.Lasers are used in industry for:

  • ACutting and welding metals precisely
  • BCooling engines
  • CMaking sound
  • DMeasuring mass

Answer: A

Focused laser beams deliver very high power to a small spot.

Multiple choice

30.A CT scanner differs from an ordinary X-ray because it:

  • AUses sound
  • BTakes many X-ray images from different angles to build cross-sections
  • CUses no radiation
  • DUses lasers only

Answer: B

A computer combines the images into slices.

True or false

31.X-rays are a form of electromagnetic radiation.

Answer: True

They travel at the speed of light.

True or false

32.Laser light contains many different wavelengths.

Answer: False

Laser light is monochromatic.

True or false

33.X-rays can pass easily through lead.

Answer: False

Lead absorbs X-rays strongly.

True or false

34.Stimulated emission produces photons identical to the stimulating photon.

Answer: True

Same frequency, phase and direction.

True or false

35.It is safe to look directly into a laser beam.

Answer: False

It can damage the eye permanently.

Fill in the blank

36.In LASER, the letter S stands for ______.

Answer: stimulated

Light Amplification by Stimulated Emission of Radiation.

Fill in the blank

37.The metal often used as the target in an X-ray tube is ______.

Answer: tungsten

It has a very high melting point.

Fill in the blank

38.Laser light that has a single wavelength is described as ______.

Answer: monochromatic

Mono means one, chroma means colour.

Fill in the blank

39.Having more atoms in an excited state than in a lower state is called population ______.

Answer: inversion

Needed for laser action.

Fill in the blank

40.Electrons are released from the hot filament of an X-ray tube by ______ emission.

Answer: thermionic

Heat gives electrons enough energy to escape.

Back to top ↑

Unit 8: Radiation and Medical Imaging

Multiple choice

1.Ionising radiation is radiation that:

  • AHas enough energy to remove electrons from atoms
  • BHas no energy
  • CIs only sound
  • DIs only visible light

Answer: A

Examples: X-rays, gamma rays, alpha and beta particles.

Multiple choice

2.Which of these is NOT ionising radiation?

  • ARadio waves
  • BX-rays
  • CGamma rays
  • DAlpha particles

Answer: A

Radio waves have too little energy per photon to ionise atoms.

Multiple choice

3.Which radiation is the most strongly ionising?

  • ARadio waves
  • BVisible light
  • CAlpha particles
  • DGamma rays

Answer: C

Alpha particles are heavy and doubly charged, so they ionise strongly but travel only short distances.

Multiple choice

4.When radiation passes through matter, its intensity:

  • AStays exactly the same
  • BIncreases
  • CDecreases (it is attenuated)
  • DBecomes infinite

Answer: C

Radiation is absorbed and scattered.

Multiple choice

5.The absorbed dose of radiation is:

  • ANumber of particles per second
  • BSpeed of radiation
  • CTime of exposure only
  • DEnergy absorbed per kilogram of tissue

Answer: D

D = E/m.

Multiple choice

6.The unit of absorbed dose is the:

  • AHertz
  • BGray (Gy)
  • CBecquerel
  • DCoulomb

Answer: B

1 Gy = 1 J/kg.

Multiple choice

7.A 50 kg patient absorbs 0.1 J of energy from X-rays. What is the absorbed dose?

  • A50.1 Gy
  • B5 Gy
  • C0.002 Gy
  • D0.5 Gy

Answer: C

D = E/m = 0.1 ÷ 50 = 0.002 Gy (2 mGy).

Multiple choice

8.The equivalent dose takes into account:

  • AThe type of radiation and how much harm it causes (weighting factor)
  • BThe colour of the radiation
  • CThe patient's height
  • DOnly the time

Answer: A

Equivalent dose = absorbed dose × radiation weighting factor.

Multiple choice

9.The unit of equivalent dose is the:

  • ASievert (Sv)
  • BWatt
  • CGray
  • DJoule

Answer: A

It measures biological effect.

Multiple choice

10.Alpha radiation has a weighting factor of 20 and X-rays a factor of 1. For the same absorbed dose, alpha radiation is:

  • A20 times less harmful
  • B20 times more harmful
  • CEqually harmful
  • DHarmless

Answer: B

Equivalent dose = D × w_R.

Multiple choice

11.A worker receives an absorbed dose of 0.01 Gy of alpha radiation (w_R = 20). What is the equivalent dose?

  • A0.01 Sv
  • B20 Sv
  • C0.2 Sv
  • D0.0005 Sv

Answer: C

H = 0.01 × 20 = 0.2 Sv.

Multiple choice

12.Background radiation comes from:

  • AMobile phones only
  • BNatural sources such as rocks, cosmic rays and food, plus some artificial sources
  • COnly nuclear power stations
  • DLight bulbs

Answer: B

It is always present at a low level.

Multiple choice

13.The three main ways to reduce exposure to radiation are:

  • AHeat, light and sound
  • BEating, sleeping and running
  • CTime, distance and shielding
  • DSpeed, mass and force

Answer: C

Spend less time, keep further away and use shielding.

Multiple choice

14.Radiation workers wear a film badge or dosimeter to:

  • ABlock all radiation
  • BProduce X-rays
  • CLook professional
  • DMeasure the radiation dose they receive

Answer: D

Doses are recorded to keep them below safe limits.

Multiple choice

15.The ALARA principle in radiation safety means keeping doses:

  • AAs Low As Reasonably Achievable
  • BAlways Level And Regular
  • CAt Least A Radiation Allowance
  • DAs Large As Required Always

Answer: A

Use the lowest dose that still gives a useful result.

Multiple choice

16.Ultrasound imaging works by:

  • AMeasuring temperature
  • BSending high-frequency sound into the body and detecting echoes from tissue boundaries
  • CUsing X-rays
  • DUsing gamma rays

Answer: B

Echo times give the depths of the boundaries.

Multiple choice

17.Ultrasound is used to scan unborn babies because:

  • AIt is ionising
  • BIt passes through bone easily
  • CIt is non-ionising and considered safe
  • DIt is cheap X-rays

Answer: C

It does not damage the developing baby's cells.

Multiple choice

18.A gel is applied to the skin before an ultrasound scan to:

  • ACool the skin
  • BKill bacteria
  • CMake the image coloured
  • DRemove air so the ultrasound passes into the body instead of reflecting

Answer: D

Air at the skin would reflect almost all the ultrasound.

Multiple choice

19.MRI (magnetic resonance imaging) uses:

  • AStrong magnetic fields and radio waves
  • BGamma rays
  • CUltrasound
  • DX-rays

Answer: A

Hydrogen nuclei in the body respond to the field and radio pulses.

Multiple choice

20.An advantage of MRI over CT scanning is that MRI:

  • AIs faster and cheaper
  • BWorks on patients with metal implants
  • CUses ionising radiation
  • DUses no ionising radiation and shows soft tissue very clearly

Answer: D

It is good for brain and joint imaging.

Multiple choice

21.Patients with metal implants or pacemakers may not be allowed an MRI scan because:

  • AMRI uses X-rays
  • BThe strong magnetic field can move or heat metal objects
  • CMetal makes images coloured
  • DMetal blocks radio waves completely

Answer: B

This is a safety risk.

Multiple choice

22.In a gamma camera scan, the patient is given:

  • AA magnet to swallow
  • BA radioactive tracer that emits gamma rays
  • CUltrasound gel
  • DAn X-ray tube

Answer: B

The camera detects where the tracer collects.

Multiple choice

23.A tracer used inside the body should have:

  • AA very long half-life
  • BA short half-life and emit gamma rays
  • CNo radiation
  • DAlpha emission only

Answer: B

Gamma rays can be detected outside the body; a short half-life limits the dose.

Multiple choice

24.Radiotherapy treats cancer by:

  • AUsing magnets
  • BCooling the tumour
  • CUsing sound to heat cells
  • DUsing radiation to destroy cancer cells

Answer: D

High-energy beams are aimed at the tumour.

Multiple choice

25.In radiotherapy, the beam is aimed at the tumour from several directions so that:

  • ALess electricity is used
  • BThe treatment is faster
  • CThe tumour receives a high dose while healthy tissue receives less
  • DThe patient feels nothing

Answer: C

The beams overlap only at the tumour.

Multiple choice

26.Which imaging method gives a 3D picture by combining many X-ray images?

  • AUltrasound
  • BEndoscopy
  • CMRI
  • DCT (computed tomography)

Answer: D

A computer builds cross-sectional slices.

Multiple choice

27.An endoscope uses:

  • AX-rays
  • BGamma rays
  • CMagnetic fields
  • DOptical fibres to see inside the body

Answer: D

Light travels along fibres by total internal reflection.

Multiple choice

28.Radiation damages living cells mainly by:

  • AIonising atoms and damaging molecules such as DNA
  • BChanging their colour only
  • CCooling them
  • DMaking cells heavier

Answer: A

Damage can kill cells or cause mutations.

Multiple choice

29.Large doses of radiation received in a short time can cause:

  • ARadiation sickness and burns
  • BStronger bones
  • CNo effects
  • DBetter health

Answer: A

These are deterministic effects that appear above a threshold dose.

Multiple choice

30.The dose rate of a source is 2 mGy per hour. What dose is received in 3 hours?

  • A1.5 mGy
  • B6 mGy
  • C0.67 mGy
  • D5 mGy

Answer: B

Dose = rate × time = 2 × 3 = 6 mGy.

True or false

31.The gray is the unit of absorbed dose.

Answer: True

1 Gy = 1 J/kg.

True or false

32.Ultrasound is a form of ionising radiation.

Answer: False

Ultrasound is a sound wave and is non-ionising.

True or false

33.Increasing the distance from a radiation source reduces the dose received.

Answer: True

Intensity falls with distance.

True or false

34.MRI scans use X-rays to form images.

Answer: False

MRI uses magnetic fields and radio waves.

True or false

35.Background radiation is present everywhere at a low level.

Answer: True

It comes from natural and artificial sources.

Fill in the blank

36.The unit of equivalent dose is the ______.

Answer: sievert (Sv)

Named after Rolf Sievert.

Fill in the blank

37.Radiation with enough energy to remove electrons from atoms is called ______ radiation.

Answer: ionising (ionizing)

X-rays and gamma rays are examples.

Fill in the blank

38.Imaging that uses strong magnetic fields and radio waves is called ______.

Answer: MRI (magnetic resonance imaging)

It uses no ionising radiation.

Fill in the blank

39.The use of radiation to destroy cancer cells is called ______.

Answer: radiotherapy (radiation therapy)

Beams are aimed at the tumour.

Fill in the blank

40.Time, distance and ______ are the three ways to reduce radiation exposure.

Answer: shielding

Lead and concrete are common shields.

Back to top ↑

Unit 9: Introduction to Electronics

Multiple choice

1.Semiconductors have electrical conductivity that is:

  • AZero at all temperatures
  • BBetween that of conductors and insulators
  • CThe same as insulators always
  • DAlways higher than metals

Answer: B

Semiconductors have conductivity intermediate between good conductors (metals) and insulators, and this conductivity increases with temperature.

Multiple choice

2.Doping a semiconductor means:

  • ACoating it with metal
  • BAdding small amounts of impurity atoms to change its electrical properties
  • CHeating it to very high temperatures
  • DCooling it to absolute zero

Answer: B

Doping introduces controlled amounts of impurity atoms into a pure (intrinsic) semiconductor to modify its electrical conductivity.

Multiple choice

3.An n-type semiconductor is formed by doping with atoms that:

  • AHave more valence electrons than the semiconductor, providing free electrons
  • BAre always metals
  • CRemove all free charge carriers
  • DHave fewer valence electrons than the semiconductor

Answer: A

Doping with pentavalent atoms (like phosphorus in silicon) adds extra free electrons, creating an n-type (negative charge carrier) semiconductor.

Multiple choice

4.A p-type semiconductor is formed by doping with atoms that:

  • AHave the same valency as the base material
  • BCreate excess free electrons
  • CCreate a deficiency of electrons, forming 'holes'
  • DPrevent conduction entirely

Answer: C

Doping with trivalent atoms (like boron in silicon) creates electron deficiencies called 'holes', which act as positive charge carriers.

Multiple choice

5.A p-n junction diode allows current to flow easily when:

  • AForward biased
  • BCooled below freezing
  • CNot connected to any supply
  • DReverse biased

Answer: A

In forward bias, the p-n junction's depletion region narrows, allowing current to flow easily through the diode.

Multiple choice

6.In reverse bias, a p-n junction diode:

  • ABehaves like a perfect conductor
  • BHas zero resistance
  • CConducts easily
  • DBlocks current flow (except a tiny leakage current)

Answer: D

Reverse bias widens the depletion region, blocking the flow of majority carriers and allowing only a very small leakage current.

Multiple choice

7.A half-wave rectifier uses:

  • AOne diode to pass only one half of the AC cycle
  • BA capacitor only
  • CNo diodes at all
  • DTwo diodes to pass all of the AC cycle

Answer: A

A half-wave rectifier uses a single diode, which conducts during only one half-cycle of the AC input, blocking the other half.

Multiple choice

8.A full-wave rectifier, compared to a half-wave rectifier, produces:

  • AExactly the same output
  • BA smoother, more continuous DC output using both halves of the AC cycle
  • COnly negative voltage output
  • DA weaker signal

Answer: B

A full-wave rectifier uses both halves of the AC cycle (using two or four diodes), producing a smoother and more continuous DC output.

Multiple choice

9.A transistor is a semiconductor device with:

  • ATwo p-n junctions (three regions: emitter, base, collector)
  • BNo junctions
  • CFour separate terminals
  • DOne p-n junction

Answer: A

A bipolar junction transistor has three regions (emitter, base, collector) forming two p-n junctions.

Multiple choice

10.An NPN transistor consists of:

  • ATwo p-type regions sandwiching an n-type region
  • BOnly p-type material throughout
  • CTwo n-type regions sandwiching a p-type region
  • DOnly n-type material throughout

Answer: C

An NPN transistor has a thin p-type base sandwiched between two n-type regions (emitter and collector).

Multiple choice

11.A transistor can be used as an electronic switch because:

  • AIt stores electric charge like a capacitor
  • BA small base current can control a much larger collector current, turning it on or off
  • CIt only works with AC signals
  • DIt always conducts regardless of base current

Answer: B

By controlling a small base current, a transistor can switch a much larger current in the collector circuit on or off, acting as an electronic switch.

Multiple choice

12.A transistor used as an amplifier works because:

  • AIt converts DC to AC
  • BIt only rectifies signals
  • CIt has no gain at all
  • DA small change in base current produces a much larger change in collector current

Answer: D

In amplifier configuration, small variations in base current cause proportionally much larger variations in collector current, providing signal amplification.

Multiple choice

13.The output of an AND logic gate is HIGH only when:

  • AAt least one input is HIGH
  • BAll inputs are HIGH
  • CAll inputs are LOW
  • DExactly one input is HIGH

Answer: B

An AND gate outputs HIGH (1) only when every one of its inputs is HIGH (1); otherwise the output is LOW (0).

Multiple choice

14.The output of an OR logic gate is HIGH when:

  • AExactly two inputs are LOW
  • BNo inputs are present
  • CAt least one input is HIGH
  • DAll inputs are LOW

Answer: C

An OR gate outputs HIGH if any one (or more) of its inputs is HIGH.

Multiple choice

15.A NOT gate (inverter) has:

  • ANo inputs
  • BTwo inputs and one output
  • COne input and one output that is the opposite of the input
  • DThree outputs

Answer: C

A NOT gate has a single input and produces an output that is the logical inverse (opposite) of that input.

Multiple choice

16.Silicon and germanium are commonly used semiconductors because they:

  • ACannot conduct electricity at all
  • BAre metals with free electrons
  • CHave no crystal structure
  • DHave four valence electrons, allowing controlled doping

Answer: D

Silicon and germanium each have four valence electrons, forming a stable crystal lattice that can be precisely doped to create n-type or p-type materials.

Multiple choice

17.The region at a p-n junction with no free charge carriers is called the:

  • ADepletion region
  • BDoping zone
  • CConduction band
  • DValence band

Answer: A

The depletion region is a narrow zone at the p-n junction depleted of free charge carriers, formed by recombination near the junction.

Multiple choice

18.Increasing temperature generally ___ the conductivity of a pure (intrinsic) semiconductor.

  • AHas no effect on
  • BIncreases
  • CReverses
  • DDecreases

Answer: B

As temperature rises, more electron-hole pairs are thermally generated in a semiconductor, increasing its conductivity (opposite to the trend in metals).

Multiple choice

19.A light-emitting diode (LED) emits light when:

  • ACooled to very low temperature
  • BForward biased, as electrons and holes recombine releasing energy
  • CNot connected to any circuit
  • DReverse biased

Answer: B

An LED emits light in forward bias, as electrons and holes recombine at the junction and release energy in the form of photons.

Multiple choice

20.A photodiode is a semiconductor device that:

  • AEmits sound when illuminated
  • BAmplifies magnetic fields
  • CWorks only in complete darkness
  • DGenerates or modulates electric current in response to light

Answer: D

A photodiode's current changes in response to incident light, making it useful as a light sensor.

Multiple choice

21.A solar cell converts:

  • AElectrical energy into light
  • BLight energy directly into electrical energy
  • CHeat into mechanical energy
  • DSound into electrical energy

Answer: B

A solar (photovoltaic) cell is a semiconductor device that converts light energy directly into electrical energy.

Multiple choice

22.The base region of a transistor is typically:

  • AVery thin and lightly doped compared to emitter and collector
  • BAbsent in modern transistors
  • CThe same thickness as the collector
  • DVery thick and heavily doped

Answer: A

The base region is deliberately made thin and lightly doped so that most carriers injected from the emitter pass through to the collector, enabling amplification.

Multiple choice

23.Combining an AND gate and a NOT gate in series produces which gate?

  • ABuffer
  • BXOR gate
  • CNAND gate
  • DOR gate

Answer: C

An AND gate followed by a NOT (inverter) gate produces a NAND gate, whose output is the complement of the AND output.

Multiple choice

24.A capacitor used as a filter after a rectifier serves to:

  • ASmooth out the pulsating DC output, reducing ripple
  • BConvert DC back into AC
  • CIncrease the AC frequency
  • DIncrease ripple in the output

Answer: A

A smoothing capacitor charges during peaks and discharges between them, reducing the ripple in a rectified DC output.

Multiple choice

25.Zener diodes are specially designed to operate in:

  • ANo bias condition
  • BForward bias only
  • CAC circuits exclusively as rectifiers
  • DA controlled reverse breakdown region for voltage regulation

Answer: D

Zener diodes are designed to safely operate in reverse breakdown at a specific voltage, making them useful for voltage regulation.

Multiple choice

26.The main advantage of transistors over older vacuum tubes includes:

  • AWorking only at very high voltages
  • BRequiring a heated filament to operate
  • CSmaller size, lower power consumption, and greater reliability
  • DLarger size and higher power consumption

Answer: C

Transistors are much smaller, consume less power, generate less heat, and are more reliable and durable than vacuum tubes.

Multiple choice

27.In a common-emitter transistor amplifier, the output signal is typically:

  • AIn phase with the input signal
  • BCompletely unrelated to the input
  • CAlways zero
  • D180° out of phase (inverted) relative to the input

Answer: D

A common-emitter amplifier configuration produces an output signal that is inverted (180° phase shift) relative to the input signal.

Multiple choice

28.A logic circuit that outputs HIGH only when its two inputs differ is called:

  • AOR gate
  • BNOT gate
  • CXOR (exclusive OR) gate
  • DAND gate

Answer: C

An XOR gate outputs HIGH only when its two inputs are different (one HIGH, one LOW); if both are the same, the output is LOW.

Multiple choice

29.Which is a common application of transistors in digital electronics?

  • AAs permanent magnets
  • BAs capacitors for energy storage only
  • CAs resistors with fixed value
  • DAs switches representing binary 0s and 1s in logic circuits

Answer: D

Transistors act as fast electronic switches, forming the basic building blocks of digital logic circuits representing binary states.

Multiple choice

30.A rectifier followed by a smoothing capacitor and voltage regulator forms a basic:

  • ADC power supply circuit
  • BAmplifier circuit
  • CRadio transmitter
  • DLogic gate array

Answer: A

This combination (rectifier + smoothing + regulation) forms a typical DC power supply, converting AC mains into stable DC output.

True or false

31.A p-type semiconductor has majority charge carriers that are electrons.

Answer: False

In a p-type semiconductor, the majority charge carriers are holes (positive), not electrons.

True or false

32.A diode conducts easily in forward bias and blocks current in reverse bias.

Answer: True

This is the defining behaviour of a p-n junction diode: low resistance when forward biased, high resistance when reverse biased.

True or false

33.A transistor can amplify a signal because a small base current controls a much larger collector current.

Answer: True

This current-controlling behaviour is exactly how a transistor achieves amplification of small signals.

True or false

34.An OR gate outputs HIGH only when all of its inputs are HIGH.

Answer: False

That description applies to an AND gate; an OR gate outputs HIGH if at least one input is HIGH.

True or false

35.Increasing temperature always decreases the conductivity of a semiconductor.

Answer: False

Unlike metals, increasing temperature generally increases the conductivity of a semiconductor, as more charge carriers are thermally generated.

Fill in the blank

36.A semiconductor doped to have excess free electrons is called ______-type.

Answer: n

n-type semiconductors are doped with pentavalent impurities, providing extra free electrons as majority carriers.

Fill in the blank

37.A semiconductor doped to have a deficiency of electrons (excess holes) is called ______-type.

Answer: p

p-type semiconductors are doped with trivalent impurities, creating holes as majority carriers.

Fill in the blank

38.The process of converting AC into DC using diodes is called ______.

Answer: rectification

Rectification is the process of converting alternating current into direct current, typically using diodes.

Fill in the blank

39.A transistor has three regions called the emitter, base, and ______.

Answer: collector

The three regions of a bipolar junction transistor are the emitter, base, and collector.

Fill in the blank

40.A logic gate that inverts its single input is called a ______ gate.

Answer: NOT

The NOT gate (inverter) produces an output that is the logical opposite of its single input.

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Unit 10: Cosmology, Galaxies and Expansion of Universe

Multiple choice

1.Cosmology is the study of:

  • ARocks
  • BWeather
  • CThe origin, structure and evolution of the universe as a whole
  • DLiving cells

Answer: C

It deals with the universe on the largest scales.

Multiple choice

2.A galaxy is:

  • AA huge system of billions of stars, gas, dust and dark matter held together by gravity
  • BA comet
  • CA planet with moons
  • DA single star

Answer: A

The Milky Way is our galaxy.

Multiple choice

3.Our galaxy is called the:

  • AAndromeda Galaxy
  • BOrion Nebula
  • CMilky Way
  • DSolar System

Answer: C

It is a spiral galaxy.

Multiple choice

4.The Milky Way is a:

  • ASpiral galaxy
  • BElliptical galaxy
  • CIrregular galaxy
  • DSingle star

Answer: A

It has spiral arms around a central bulge.

Multiple choice

5.The diameter of the Milky Way is about:

  • A100 billion light-years
  • B1 light-year
  • C100 light-years
  • D100 000 light-years

Answer: D

About 100 000 light-years across.

Multiple choice

6.The three main types of galaxies by shape are:

  • ALarge, medium and small
  • BRed, blue and green
  • CSpiral, elliptical and irregular
  • DHot, warm and cold

Answer: C

This is the Hubble classification.

Multiple choice

7.A light-year is a unit of:

  • ABrightness
  • BTime
  • CSpeed
  • DDistance

Answer: D

The distance light travels in one year, about 9.46 × 10¹⁵ m.

Multiple choice

8.A light-year is about:

  • A365 km
  • B9.46 × 10¹⁵ m
  • C3 × 10⁸ m
  • D1.5 × 10¹¹ m

Answer: B

3 × 10⁸ m/s × 3.15 × 10⁷ s ≈ 9.46 × 10¹⁵ m.

Multiple choice

9.The distance from the Earth to the Sun (about 1.5 × 10¹¹ m) is called:

  • AA kilometre
  • BA parsec
  • CA light-year
  • DAn astronomical unit (AU)

Answer: D

1 AU is the mean Earth–Sun distance.

Multiple choice

10.Groups of galaxies held together by gravity are called:

  • AConstellations
  • BClusters of galaxies
  • CSolar systems
  • DNebulae

Answer: B

Our Local Group contains the Milky Way and Andromeda.

Multiple choice

11.Light from distant galaxies is shifted towards longer wavelengths. This is called:

  • ARedshift
  • BDiffraction
  • CRefraction
  • DBlueshift

Answer: A

Redshift shows the galaxy is moving away from us.

Multiple choice

12.Redshift of distant galaxies is evidence that:

  • AGalaxies are moving towards us
  • BThe universe is shrinking
  • CThe universe is expanding
  • DLight slows down in space

Answer: C

Almost all distant galaxies are receding.

Multiple choice

13.Hubble's law states that:

  • AAll galaxies are stationary
  • BGalaxies move faster when closer
  • CA galaxy's recession speed is proportional to its distance from us
  • DLight speed changes with distance

Answer: C

v = H₀d.

Multiple choice

14.In Hubble's law v = H₀d, H₀ is called the:

  • ASpeed of light
  • BPlanck constant
  • CHubble constant
  • DGravitational constant

Answer: C

It is about 70 km/s per megaparsec.

Multiple choice

15.Using H₀ = 70 km/s/Mpc, how fast does a galaxy 100 Mpc away recede?

  • A7000 km/s
  • B170 km/s
  • C0.7 km/s
  • D70 km/s

Answer: A

v = H₀d = 70 × 100 = 7000 km/s.

Multiple choice

16.The age of the universe can be estimated from:

  • AThe mass of the Sun
  • B1/H₀
  • CThe speed of sound
  • DH₀²

Answer: B

If the universe has expanded at a steady rate, its age ≈ 1/H₀ (about 14 billion years).

Multiple choice

17.The Big Bang theory states that the universe:

  • AIs shrinking
  • BBegan from an extremely hot, dense state about 13.8 billion years ago and has been expanding since
  • CWas created by a supernova
  • DHas always existed unchanged

Answer: B

This is the main scientific model of the universe's origin.

Multiple choice

18.The cosmic microwave background (CMB) radiation is evidence for:

  • APlate tectonics
  • BThe Big Bang
  • CGlobal warming
  • DSolar wind

Answer: B

It is the cooled leftover radiation from the early hot universe.

Multiple choice

19.The temperature of the cosmic microwave background is about:

  • A2.7 K
  • B273 K
  • C100 °C
  • D5800 K

Answer: A

It is very cold today because the universe has expanded.

Multiple choice

20.Stars form from:

  • AClouds of gas and dust (nebulae) collapsing under gravity
  • BPlanets joining together
  • CComets
  • DBlack holes only

Answer: A

Gravity pulls the material together until fusion begins.

Multiple choice

21.A star produces energy mainly by:

  • AChemical reactions
  • BBurning coal
  • CNuclear fission of uranium
  • DNuclear fusion of hydrogen into helium

Answer: D

Fusion in the core releases enormous energy.

Multiple choice

22.Our Sun is a:

  • ARed giant
  • BMain-sequence star
  • CNeutron star
  • DWhite dwarf

Answer: B

It is fusing hydrogen steadily in its core.

Multiple choice

23.When a star like the Sun runs out of hydrogen in its core, it will become a:

  • ARed giant, and later a white dwarf
  • BNeutron star
  • CGalaxy
  • DBlack hole

Answer: A

Low-mass stars swell, shed their outer layers and leave a white dwarf.

Multiple choice

24.A very massive star ends its life in a:

  • AQuiet white dwarf only
  • BPlanetary system
  • CComet
  • DSupernova explosion, leaving a neutron star or black hole

Answer: D

Massive stars collapse violently.

Multiple choice

25.A black hole is a region where:

  • AThere is no matter
  • BStars are born
  • CGravity is so strong that not even light can escape
  • DLight is reflected

Answer: C

It forms when a massive core collapses.

Multiple choice

26.The parsec is a unit of distance equal to about:

  • A100 light-years
  • B3.26 light-years
  • C1 light-year
  • D1 AU

Answer: B

1 pc ≈ 3.26 ly ≈ 3.09 × 10¹⁶ m.

Multiple choice

27.The distance to nearby stars can be measured using:

  • AThermometers
  • BSound echoes
  • CBarometers
  • DStellar parallax

Answer: D

The star's apparent shift as Earth orbits the Sun gives its distance.

Multiple choice

28.A star has a parallax angle of 0.5 arcseconds. What is its distance? (d = 1/p)

  • A1.5 pc
  • B2 pc
  • C0.5 pc
  • D5 pc

Answer: B

d = 1 ÷ 0.5 = 2 parsecs.

Multiple choice

29.Light from a galaxy 1 billion light-years away shows us the galaxy as it was:

  • AIn the future
  • B1 year ago
  • CToday
  • D1 billion years ago

Answer: D

The light took 1 billion years to reach us.

Multiple choice

30.Elliptical galaxies mainly contain:

  • AOlder stars and little gas or dust
  • BNo stars
  • COnly planets
  • DYoung blue stars and lots of gas

Answer: A

Star formation has mostly stopped in elliptical galaxies.

True or false

31.A light-year is a unit of time.

Answer: False

It is a unit of distance.

True or false

32.The redshift of distant galaxies shows that the universe is expanding.

Answer: True

Galaxies are moving away from us.

True or false

33.Stars produce energy by nuclear fission.

Answer: False

Stars produce energy by nuclear fusion.

True or false

34.The cosmic microwave background is evidence for the Big Bang.

Answer: True

It is leftover radiation from the early universe.

True or false

35.In Hubble's law, more distant galaxies recede faster.

Answer: True

v = H₀d.

Fill in the blank

36.The theory that the universe began from a hot, dense state and has been expanding is the Big ______ theory.

Answer: Bang

About 13.8 billion years ago.

Fill in the blank

37.Our galaxy is called the ______ Way.

Answer: Milky

A spiral galaxy.

Fill in the blank

38.The shift of light from receding galaxies towards longer wavelengths is called ______.

Answer: redshift

It shows they are moving away.

Fill in the blank

39.Hubble's law is written v = H₀ × ______.

Answer: d (distance)

Recession speed is proportional to distance.

Fill in the blank

40.The final stage of a very massive star, from which light cannot escape, is a black ______.

Answer: hole

Formed after a supernova.

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