JAMB Physics 2012 past questions and answers

45 questions. Try each one, then open the answer to check yourself and read the explanation.

Question 2

Measurement and Units

In order to remove the error of parallax when taking measurements with a metre rule, the eye should be focused

  1. A.slantingly towards the left on the markings
  2. B.slantingly towards the right on the markings
  3. C.vertically downwards on the markings
  4. D.vertically upwards on the markings.
Show the answer and explanation

Answer: C (vertically downwards on the markings)

Explanation

Parallax error is avoided by looking straight down, perpendicular to the scale, directly above the mark being read.

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Question 3

Friction

A load is pulled at a uniform speed along a horizontal floor by a rope at 45° to floor. If the force in the rope is 1500N, what is the frictional force on the load?

  1. A.1524N
  2. B.1350N
  3. C.1260N
  4. D.1061N.
Show the answer and explanation

Answer: D (1061N.)

Explanation

At uniform speed the horizontal pull equals the friction: F = 1500 cos 45° ≈ 1500 × 0.707 ≈ 1061 N.

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Question 5

Motion

From the velocity-time graph shown above, which of the following quantities CANNOT be determined?

Diagram for this question
  1. A.Deceleration
  2. B.Initial velocity
  3. C.Total distance travelled
  4. D.Initial acceleration.
Show the answer and explanation

Answer: D (Initial acceleration.)

Explanation

The graph starts at 60 m s−1, so the initial velocity, the deceleration (slope from 20 s to 25 s) and the distance (area) can all be read. How the body reached 60 m s−1 is not shown, so its initial acceleration cannot be found.

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Question 6

Motion

Calculate the total distance covered by a train before coming to rest if its initial speed is 30ms−1 with a constant retardation of 0.1ms−2.

  1. A.5500m
  2. B.4500m
  3. C.4200m
  4. D.3000m.
Show the answer and explanation

Answer: B (4500m)

Explanation

v2 = u2 − 2as with v = 0: s = u2/2a = 900 ÷ 0.2 = 4500 m.

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Question 7

Motion

A car starts from rest and moves with a uniform acceleration of 30ms−2 for 20s. Calculate the distance covered at the end of the motion.

  1. A.6km
  2. B.12km
  3. C.18km
  4. D.24km
Show the answer and explanation

Answer: A (6km)

Explanation

s = ut + ½at2 = 0 + ½ × 30 × 202 = 6000 m = 6 km.

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Question 8

Gravitational Field

A rocket is fired from the earth's surface to a distant planet. By Newton's law of universal gravitation, the force F will

  1. A.increase as a r reduces
  2. B.increase as G varies
  3. C.remains constant
  4. D.increases as r increases.
Show the answer and explanation

Answer: A (increase as a r reduces)

Explanation

F = Gm1m2/r2, so the gravitational force gets bigger as the distance r between the bodies gets smaller.

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Question 9

Simple Harmonic Motion

If a freely suspended object is pulled to one side and released, it oscillates about the point of suspension because the

  1. A.acceleration is directly proportional to the displacement
  2. B.motion is directed away from the equilibrium point
  3. C.acceleration is directly proportional to the square of the displacement
  4. D.velocity is minimum at the equilibrium point.
Show the answer and explanation

Answer: A (acceleration is directly proportional to the displacement)

Explanation

The restoring force, and so the acceleration, is proportional to the displacement and directed back towards the equilibrium point. This is simple harmonic motion.

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Question 10

Motion

An object moves in a circular path of radius 0.5m with a speed of 1 ms−1. What is its angular velocity?

  1. A.8 rads−1
  2. B.4 rads−1
  3. C.2 rads−1
  4. D.1rads−1
Show the answer and explanation

Answer: C (2 rads−1)

Explanation

ω = v/r = 1 ÷ 0.5 = 2 rad s−1.

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Question 11

Work, Energy and Power

From the diagram above, calculate the work done when the particle moves from x = 0m to x = 80m

Diagram for this question
  1. A.1200J
  2. B.2400J
  3. C.6000J
  4. D.7000J.
Show the answer and explanation

Answer: B (2400J)

Explanation

Work done is the area under the force–distance graph. From x = 0 to 80 m it is a triangle of base 80 m and height 60 N: ½ × 80 × 60 = 2400 J.

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Question 12

Friction

The diagram above shows a wooden block just about to slide down an inclined plane whose inclination to the horizontal is α. The coefficient of frictional force between the block and the plane is

Diagram for this question
  1. A.sin α
  2. B.tan α
  3. C.cot α
  4. D.cos α.
Show the answer and explanation

Answer: B (tan α)

Explanation

On the point of sliding, friction μmg cos α balances mg sin α, so μ = sin α/cos α = tan α.

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Question 13

Friction

An object of mass 20kg slides down an inclined plane at an angle of 30° to the horizontal. The coefficient of static friction is [g ≈ 10ms−2]

  1. A.0.2
  2. B.0.3
  3. C.0.5
  4. D.0.6.
Show the answer and explanation

Answer: D (0.6.)

Explanation

Taking the object as just starting to slide, μ = tan 30° ≈ 0.58, which is about 0.6.

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Question 14

Simple Machines

A block and tackle is used to raise a load of 250N through a vertical distance of 30m. What is the efficiency of the system if the work done against friction is 1500J?

  1. A.62.5%
  2. B.73.3%
  3. C.83.3%
  4. D.94.3%.
Show the answer and explanation

Answer: C (83.3%)

Explanation

Useful work = 250 × 30 = 7500 J. Total work put in = 7500 + 1500 = 9000 J. Efficiency = 7500/9000 × 100% ≈ 83.3%.

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Question 15

Elasticity

If a load of 1 kg stretches a cord by 1.2cm, what is the force constant of the cord? [g ≈ 10ms−2]

  1. A.866Nm−1
  2. B.833Nm−1
  3. C.769Nm−1
  4. D.667Nm−1.
Show the answer and explanation

Answer: B (833Nm−1)

Explanation

k = F/e = (1 × 10) ÷ 0.012 ≈ 833 N m−1.

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Question 16

Density and Upthrust

An object of volume 1 m3 and mass 2kg is totally immersed in a liquid of density 1 kgm−3. Calculate its apparent weight. [g ≈ 10ms−2]

  1. A.20N
  2. B.10N
  3. C.2N
  4. D.1N.
Show the answer and explanation

Answer: B (10N)

Explanation

Weight = 2 × 10 = 20 N. Upthrust = Vρg = 1 × 1 × 10 = 10 N. Apparent weight = 20 − 10 = 10 N.

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Question 17

Pressure

The pressure at any point in a liquid at rest depends only on the

  1. A.depth and the density
  2. B.mass and the volume
  3. C.quantity and the surface area
  4. D.surface area and the viscosity.
Show the answer and explanation

Answer: A (depth and the density)

Explanation

Liquid pressure p = hρg depends only on the depth h and density ρ (g being fixed).

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Question 18

Density and Upthrust

A balloon whose volume is 300m3 is filled with hydrogen. If the density of air is 1.3 kgm−3, find the upthrust on the balloon. [g ≈ 10ms−2]

  1. A.3000N
  2. B.3800N
  3. C.3900N
  4. D.4200N.
Show the answer and explanation

Answer: C (3900N)

Explanation

Upthrust = weight of air displaced = Vρg = 300 × 1.3 × 10 = 3900 N.

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Question 19

Temperature and Thermometers

Clinical thermometers are examples of

  1. A.pressure gas thermometer
  2. B.resistance thermometer
  3. C.alcohol thermometer
  4. D.mercury-in-glass thermometer.
Show the answer and explanation

Answer: D (mercury-in-glass thermometer.)

Explanation

A clinical thermometer is a mercury-in-glass thermometer with a short range (about 35–43°C) and a constriction.

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Question 21

Gas Laws

2000cm3 of a gas is collected at 27°C and 700mmHg. What is the volume of the gas at standard temperature and pressure?

  1. A.1896.5cm3
  2. B.1767.3cm3
  3. C.1676.3cm3
  4. D.1456.5cm3.
Show the answer and explanation

Answer: C (1676.3cm3)

Explanation

P1V1/T1 = P2V2/T2: V2 = 700 × 2000 × 273 ÷ (760 × 300) ≈ 1676.3 cm3.

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Question 22

Quantity of Heat

Calculate the temperature change when 500 J of heat is supplied to 100g of water. [specific heat capacity of water = 4200Jkg−1K−1]

  1. A.12.1°C
  2. B.2.1°C
  3. C.1.2°C
  4. D.0.1°C.
Show the answer and explanation

Answer: C (1.2°C)

Explanation

Δθ = Q/(mc) = 500 ÷ (0.1 × 4200) ≈ 1.2°C.

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Question 23

Change of State and Vapours

Which of the following is NOT a factor that can increase the rate of evaporation of water in a lake?

  1. A.Increase in the pressure of the atmosphere.
  2. B.Rise in temperature
  3. C.Increase in the average speed of the molecules of water
  4. D.Increase in the kinetic energy of the molecules of water.
Show the answer and explanation

Answer: A (Increase in the pressure of the atmosphere.)

Explanation

Higher temperature and faster, more energetic molecules all speed up evaporation. A higher atmospheric pressure slows it down.

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Question 24

Change of State and Vapours

The quantity of heat energy required to melt completely 1 kg of ice at −30°C is [latent heat of fusion = 3.5 × 105 Jkg−1, specific heat capacity of ice = 2.1 × 103 Jkg−1K−1]

  1. A.4.13 × 106J
  2. B.4.13 × 105J
  3. C.3.56 × 104J
  4. D.3.56 × 102J
Show the answer and explanation

Answer: B (4.13 × 105J)

Explanation

Warm the ice to 0°C: 1 × 2100 × 30 = 63 000 J. Melt it: 1 × 3.5 × 105 = 350 000 J. Total = 413 000 J = 4.13 × 105 J.

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Question 25

Structure of Matter and Kinetic Theory

I. It is a rapid, constant and irregular motion of tiny particles.
II. It gives evidence that tiny particles of matter called molecules exist.
III. It takes place only in gases.
IV. It gives evidence that molecules are in a constant state of random motion.
Which of the combinations above is correct about Brownian motion?

  1. A.I, II and III only
  2. B.II, III and IV only
  3. C.I, III and IV only
  4. D.I, II and IV only.
Show the answer and explanation

Answer: D (I, II and IV only.)

Explanation

Brownian motion is the constant, irregular jiggling of tiny particles, which shows that molecules exist and are always moving. It happens in liquids as well as gases, so III is false.

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Question 27

Waves

From the diagram above, if the particle F is at a distance X from O to the right, the phase of the vibration will be different from that at O by

Diagram for this question
  1. A.2πx/λ
  2. B.πx/λ
  3. C.λ/2πx
  4. D.λ/πx
Show the answer and explanation

Answer: A (2πx/λ)

Explanation

One wavelength λ corresponds to a phase change of 2π, so a distance x gives a phase difference of 2πx/λ.

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Question 28

Sound

Which of the following factors will affect the velocity of sound?

  1. A.An increase in the pitch of the sound.
  2. B.An increase in the loudness of the sound.
  3. C.Wind travelling in the same direction of the sound
  4. D.A change in the atmospheric pressure constant temperature.
Show the answer and explanation

Answer: C (Wind travelling in the same direction of the sound)

Explanation

Wind carries the air along, so sound moving with the wind travels faster relative to the ground. Pitch, loudness and pressure (at constant temperature) do not change the speed.

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Question 29

Sound

The characteristic of a vibration that determines its intensity is the

  1. A.frequent
  2. B.overtone
  3. C.wavelength
  4. D.amplitude.
Show the answer and explanation

Answer: D (amplitude.)

Explanation

Intensity (loudness) depends on the energy carried, which is proportional to the square of the amplitude.

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Question 30

Light and Reflection

Where can a man place his face to get an enlarged image when using a concave mirror to shave?

  1. A.Between the centre of curvature and the principal focus.
  2. B.At the principal focus
  3. C.Between the principal focus and the pole
  4. D.At the centre of curvature.
Show the answer and explanation

Answer: C (Between the principal focus and the pole)

Explanation

An object between the focus and the pole of a concave mirror gives an upright, magnified, virtual image, which is what a shaving mirror needs.

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Question 31

Light and Reflection

A pinhole camera is placed 300m in front of a building so that the image is formed on a screen 5cm from the pinhole. If the image is 2.5cm high, the height of the building will be

  1. A.25m
  2. B.50m
  3. C.100m
  4. D.150m.
Show the answer and explanation

Answer: D (150m.)

Explanation

Object height ÷ image height = object distance ÷ image distance = 300 m ÷ 0.05 m = 6000. Building height = 0.025 m × 6000 = 150 m.

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Question 32

Light and Reflection

The magnification of an object 2 cm tall when placed 10cm in front of a plane mirror is

  1. A.6.0
  2. B.1.0
  3. C.0.7
  4. D.0.6
Show the answer and explanation

Answer: B (1.0)

Explanation

A plane mirror forms an image the same size as the object, as far behind the mirror as the object is in front, so the magnification is 1.

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Question 33

Light and Reflection

After reflection from the concave mirror, rays of light from the sun converges

  1. A.at the radius of curvature
  2. B.at the focus
  3. C.beyond the radius of curvature
  4. D.between the focus and radius of curvature.
Show the answer and explanation

Answer: B (at the focus)

Explanation

Rays from the very distant sun arrive parallel, and a concave mirror brings parallel rays together at its principal focus.

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Question 34

Refraction of Light

A glass block of thickness 10cm is placed on an object. If an observer views the object vertically, the displacement of the object is [glass = 1.5]

  1. A.3.33cm
  2. B.5.00cm
  3. C.6.67cm
  4. D.8.50cm.
Show the answer and explanation

Answer: A (3.33cm)

Explanation

Apparent depth = 10 ÷ 1.5 ≈ 6.67 cm, so the object appears raised by 10 − 6.67 ≈ 3.33 cm.

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Question 35

Refraction of Light

I. Rays of light travel from a less dense medium to a denser medium.
II. The Angle of incidence is greater than critical angle.
III. Rays of light travel from a denser medium to a less dense medium.
Which of the statements above are conditions for total internal reflection to occur?

  1. A.I & II only
  2. B.I & III only
  3. C.II & III only
  4. D.II only.
Show the answer and explanation

Answer: C (II & III only)

Explanation

Total internal reflection needs light going from a denser to a less dense medium, at an angle of incidence greater than the critical angle.

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Question 36

Lenses and Optical Instruments

The use of lenses is NOT applicable in the

  1. A.projector
  2. B.human eye
  3. C.periscope
  4. D.telescop.
Show the answer and explanation

Answer: C (periscope)

Explanation

A simple periscope uses two plane mirrors (or prisms) to turn light, not lenses. Projectors, the eye and telescopes all use lenses.

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Question 37

Dispersion of Light and Colours

Dispersion of white light is the ability of white light to

  1. A.penetrate air, water and glass
  2. B.move in a straight line
  3. C.move around corners
  4. D.separate to its component colours.
Show the answer and explanation

Answer: D (separate to its component colours.)

Explanation

Dispersion is the splitting of white light into its colours (a spectrum), for example by a prism.

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Question 38

Current Electricity

A newly charged 12V accumulator can easily start a car whereas eight new dry cells in series with an effective e.m.f. of 12V cannot start the same car because

  1. A.the current capacity is high
  2. B.the current capacity is low
  3. C.it cannot be re-charged
  4. D.it cannot easily be connected to a car.
Show the answer and explanation

Answer: B (the current capacity is low)

Explanation

Dry cells have a high internal resistance and a low current capacity, so they cannot supply the very large current a starter motor needs.

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Question 40

Electrical Energy and Power

The fuse in an electric device is always connected to the

  1. A.neutral side of an electric supply
  2. B.earth side of an electric supply
  3. C.live side of an electric supply
  4. D.terminal side of an electric supply.
Show the answer and explanation

Answer: C (live side of an electric supply)

Explanation

The fuse goes in the live wire so that when it blows the appliance is cut off from the high voltage and is safe to touch.

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Question 41

Magnetism

A particle carrying a charge of 1.0 × 10−8C enters a magnetic field at 3.0 × 102 ms−1 at right angles to the field. If the force on this particle is 1.8 × 10−8 N, what is the magnitude of the field?

  1. A.6.0 × 10−1T
  2. B.6.0 × 10−2T
  3. C.6.0 × 10−3T
  4. D.6.0 × 10−4T.
Show the answer and explanation

Answer: C (6.0 × 10−3T)

Explanation

F = Bqv, so B = F/(qv) = 1.8 × 10−8 ÷ (1.0 × 10−8 × 3.0 × 102) = 6.0 × 10−3 T.

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Question 42

Alternating Current Circuits

Which of the following is the correct shape of the graph of capacitive reactance Xc versus frequency F for a pure capacitor in an a.c. circuit?

Diagram for this question
  1. A.A
  2. B.B
  3. C.C
  4. D.D
Show the answer and explanation

Answer: D (D)

Explanation

Xc = 1/(2πfC), so the reactance is inversely proportional to frequency. Its graph is a curve falling towards the frequency axis, as in D.

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Question 43

Alternating Current Circuits

The current output form of an a.c. source is given as I = 10 sin ωt. The d.c. equivalent of the current is

  1. A.5.0A
  2. B.7.1A
  3. C.10.0A
  4. D.14.1A
Show the answer and explanation

Answer: B (7.1A)

Explanation

The d.c. equivalent is the r.m.s. value: Irms = I0/√2 = 10 ÷ 1.414 ≈ 7.1 A.

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Question 44

Electromagnetic Induction

A conductor of length 1m moves with a velocity of 50ms−1 at an angle of 30° to the direction of a uniform magnetic field of flux density 1.5Wbm−2. What is the e.m.f. induced in the conductor?

  1. A.37.5V
  2. B.50.5V
  3. C.75.0V
  4. D.80.5V.
Show the answer and explanation

Answer: A (37.5V)

Explanation

E = BLv sin θ = 1.5 × 1 × 50 × sin 30° = 37.5 V.

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Question 45

Electromagnetic Spectrum

The process of detecting a pin mistakenly swallowed by a child is x - ray

  1. A.diagnosis
  2. B.therapy
  3. C.crystallography
  4. D.mammography.
Show the answer and explanation

Answer: A (diagnosis)

Explanation

Taking an X-ray picture to find something inside the body is X-ray diagnosis. Therapy treats disease, crystallography studies crystals and mammography examines breasts.

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Question 46

Radioactivity and Nuclear Physics

Which of the following particles CANNOT be deflected by both electric and magnetic fields?

  1. A.Gramma rays.
  2. B.Alpha particles.
  3. C.Wave particles.
  4. D.Beta particles.
Show the answer and explanation

Answer: A (Gramma rays.)

Explanation

Gamma rays carry no charge, so neither electric nor magnetic fields deflect them. Alpha and beta particles are charged.

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Question 47

Radioactivity and Nuclear Physics

A piece of radioactive material contains 1000 atoms. If its half-life is 20 seconds, the time taken for 125 atoms to remain is

  1. A.20 seconds
  2. B.40 seconds
  3. C.60 seconds
  4. D.80 seconds.
Show the answer and explanation

Answer: C (60 seconds)

Explanation

1000 → 500 → 250 → 125 is three half-lives: 3 × 20 = 60 s.

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Question 48

Electronics

The p-n junction diodes can act as rectifiers because they

  1. A.conduct current when forward-biased
  2. B.conduct current when reverse-biased
  3. C.block current when forward-biased
  4. D.conduct current in both directions.
Show the answer and explanation

Answer: A (conduct current when forward-biased)

Explanation

A diode lets current through only when forward-biased and blocks it when reverse-biased, so it passes only one half of each a.c. cycle.

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Question 49

Electronics

If a reverse-biased voltage is applied across a p-n junction, the depletion layer width is

  1. A.increased
  2. B.decreased
  3. C.constant
  4. D.halved.
Show the answer and explanation

Answer: A (increased)

Explanation

In reverse bias, holes and electrons are pulled away from the junction towards the terminals, so the depletion layer becomes wider.

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Question 50

Electronics

I. Small size.
II. Low power requirement
III. Not easily damaged by high temperature
IV. Highly durable.
Which of the above are the advantages of semiconductors?

  1. A.I, II and III only
  2. B.II, III and IV only
  3. C.I, II and IV only
  4. D.I, II, III and IV.
Show the answer and explanation

Answer: C (I, II and IV only)

Explanation

Semiconductor devices are small, use little power and last a long time. However, they are easily damaged by heat, so III is not an advantage.

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