JAMB Physics 1982 past questions and answers

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

Question 2

Newton's Laws and Momentum

A man stands on a spring scale placed in a lift. The lift descends at constant velocity. As a result, the scale reads a weight

  1. A.greater than the weight of the man
  2. B.the same as the weight of the man
  3. C.of zero
  4. D.less than the weight of the man
  5. E.greater than the weight of the man by 1 kg.
Show the answer and explanation

Answer: B (the same as the weight of the man)

Explanation

At constant velocity there is no acceleration, so the scale's push equals the man's weight.

Open this question

Question 3

Measurement and Units

One of the following readings represents the measurement of the length of a metal rod using vernier callipers. Taking the reading accuracy into consideration, the most likely one is

  1. A.5.16 cm
  2. B.5.165 cm
  3. C.5.0 cm
  4. D.5.160 cm
  5. E.5 cm
Show the answer and explanation

Answer: A (5.16 cm)

Explanation

Vernier callipers read to 0.01 cm, so a reading has two decimal places in centimetres: 5.16 cm.

Open this question

Question 4

Quantity of Heat

When equal weights of iron and water are subjected to an equal supply of heat, it is found that the piece of iron becomes much hotter than water after a shorter time because

  1. A.the specific heat of iron is higher than that of water
  2. B.iron is in solid form
  3. C.water is in liquid form
  4. D.the specific heat of water is higher than that of iron
  5. E.the specific heat of iron is infinite
Show the answer and explanation

Answer: D (the specific heat of water is higher than that of iron)

Explanation

Water needs much more heat per kilogram per degree than iron (higher specific heat capacity), so the same heat warms the iron more.

Open this question

Question 5

Gas Laws

The tyre pressure of a car was found to be 150 cm Hg in the morning at a temperature of 27°C. Hard driving in the afternoon raised the temperature of the tyres to 57°C. The tyre pressure had by the afternoon

  1. A.increased by 15.0 cm Hg
  2. B.decreased by 15.0 cm Hg
  3. C.increased by 22.50 cm Hg
  4. D.decreased by 22.50 cm Hg
  5. E.remained constant.
Show the answer and explanation

Answer: A (increased by 15.0 cm Hg)

Explanation

At constant volume p/T is constant: p₂ = 150 × 330/300 = 165 cm Hg, an increase of 15 cm Hg.

Open this question

Question 6

Sound

The echo of a sounder from the bottom of an ocean is heard 2.5 seconds later. If the speed of sound in water is 1,400 m s−1, the depth of the ocean is

  1. A.1,750 m
  2. B.3,500 m
  3. C.1,400 m
  4. D.2,800 m
  5. E.2,100 m
Show the answer and explanation

Answer: A (1,750 m)

Explanation

In 2.5 s the sound goes down and back, 1400 × 2.5 = 3500 m, so the depth is half of that, 1750 m.

Open this question

Question 7

Light and Reflection

In order to produce a parallel beam of light, a lamp is placed at a distance from the concave mirror equal to

  1. A.the radius of curvature
  2. B.half the radius of curvature
  3. C.half the focal length
  4. D.twice the focal length
  5. E.twice the radius of curvature.
Show the answer and explanation

Answer: B (half the radius of curvature)

Explanation

Light from a lamp at the principal focus is reflected as a parallel beam, and the focal length is half the radius of curvature.

Open this question

Question 8

Refraction of Light

The speed of light in air is 3.00 × 108 m s−1. Its speed in glass having a refractive index of 1.65 is

  1. A.1.65 × 108 m s−1
  2. B.3.00 × 108 m s−1
  3. C.4.95 × 108 m s−1
  4. D.1.82 × 108 m s−1
  5. E.6.00 × 108 m s−1.
Show the answer and explanation

Answer: D (1.82 × 108 m s−1)

Explanation

Speed in glass = speed in air ÷ refractive index = 3.00 × 108 ÷ 1.65 ≈ 1.82 × 108 m s−1.

Open this question

Question 9

Current Electricity

Which of the circuits illustrated below will give a total resistance of 1 Ω?

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

Answer: C (C)

Explanation

In C, 2 Ω, 3 Ω and 6 Ω are in parallel: 1/R = 1/2 + 1/3 + 1/6 = 1, so R = 1 Ω. The others give 11 Ω, 1.2 Ω, 4 Ω and 4.5 Ω.

Open this question

Question 10

Electrical Energy and Power

An electric iron is rated at 1000 watts, 250 V. The corresponding maximum resistance and accompanying current is

  1. A.62.5 A 4.0 Ω
  2. B.16.0 A 62.5 Ω
  3. C.62.5 A 16.0 Ω
  4. D.4.0 A 62.5 Ω
  5. E.4.0 A 250 Ω.
Show the answer and explanation

Answer: D (4.0 A 62.5 Ω)

Explanation

I = P/V = 1000/250 = 4 A, and R = V/I = 250/4 = 62.5 Ω.

Open this question

Question 11

Gravitational Field

The force responsible for holding the moon in its orbit around the earth against the gravitational pull of the earth is

  1. A.centrifugal
  2. B.rotational
  3. C.reaction
  4. D.centripetal
  5. E.tractional.
Show the answer and explanation

Answer: D (centripetal)

Explanation

A body moving in a circle needs a centripetal force towards the centre; for the moon it is supplied by the earth's gravity.

Open this question

Question 12

Motion

Two taxis leave Benin and Agbor some 80 km apart at 1200 hr (Fig. 1). From the distance time graph shown, the distance of their meeting point P, from Benin, and the time of their meeting are

Diagram for this question
  1. A.27 km, 1218 hr
  2. B.29 km, 1315 hr
  3. C.40 km, 1418 hr
  4. D.53 km, 1436 hr
  5. E.60 km, 1500 hr
Show the answer and explanation

Answer: B (29 km, 1315 hr)

Explanation

The taxis meet where the two distance–time lines cross. Reading the crossing point off the graph gives about 29 km from Benin at about 1315 hr.

Open this question

Question 13

Motion

A mango fruit drops from a branch 10 m above the ground. Just before hiting the ground its velocity is (g = 10 m s−2).

  1. A.10√2 m s−1
  2. B.10/√2 m s−1
  3. C.100 m s−1
  4. D.5√2 m s−1
  5. E.200 m s−1.
Show the answer and explanation

Answer: A (10√2 m s−1)

Explanation

v² = u² + 2gh = 0 + 2 × 10 × 10 = 200, so v = √200 = 10√2 m s−1.

Open this question

Question 14

Simple Machines

Which of the following machines does NOT apply the lever principle?

  1. A.Claw hammer
  2. B.Wheel barrow
  3. C.Single moving pulley
  4. D.Sugar tongs
  5. E.Nutcrackers
Show the answer and explanation

Answer: C (Single moving pulley)

Explanation

Claw hammers, wheelbarrows, sugar tongs and nutcrackers are all levers turning about a pivot. A pulley is classed as a separate simple machine.

Open this question

Question 15

Density and Upthrust

The accurate measurement of the relative density of substances in powder or granular form can be done using a beam balance and a

  1. A.pipette
  2. B.burette
  3. C.measuring cylinder
  4. D.density bottle
  5. E.eureka can
Show the answer and explanation

Answer: D (density bottle)

Explanation

A density bottle holds a fixed, accurately known volume, so weighing it empty, with the powder, with powder and water, and with water alone gives the relative density of a powder.

Open this question

Question 16

Thermal Expansion

Which of the following statements is NOT true? Thermostats are used to control the temperature of

  1. A.pressure cookers
  2. B.laundry irons
  3. C.hot water storage tanks
  4. D.aquaria for tropical fish
  5. E.heated apartments.
Show the answer and explanation

Answer: A (pressure cookers)

Explanation

Irons, water heaters, fish tanks and room heating use thermostats. A pressure cooker is controlled by a pressure valve, not a thermostat.

Open this question

Question 17

Quantity of Heat

250 g of lead at 170°C is dropped into 100 g of water at 0°C. If the final temperature is 12°C, the specific heat of lead is (specific heat capacity of water is 4,200 J/kg°C)

  1. A.39.5 J/kg°C
  2. B.50.4 J/kg°C
  3. C.127.6 J/kg°C
  4. D.154.6 J/kg°C
  5. E.173.4 J/kg°C.
Show the answer and explanation

Answer: C (127.6 J/kg°C)

Explanation

Heat lost by lead = heat gained by water: 0.25 × c × 158 = 0.1 × 4200 × 12 = 5040, so c = 5040/39.5 ≈ 127.6 J/kg°C.

Open this question

Question 18

Light and Reflection

An object 15 cm high is 30 cm from a pin-hole camera. If the height of the image formed at the back of the camera is 10 cm, the image distance is

  1. A.20 cm
  2. B.45 cm
  3. C.54 cm
  4. D.63 cm
  5. E.70 cm
Show the answer and explanation

Answer: A (20 cm)

Explanation

Image height/object height = image distance/object distance: 10/15 = v/30, so v = 20 cm.

Open this question

Question 19

Waves

The combination of sound waves with different frequencies is known as

  1. A.interference
  2. B.diffraction
  3. C.superposition
  4. D.forced vibrations
  5. E.resonance
Show the answer and explanation

Answer: C (superposition)

Explanation

When waves meet, their displacements add; this combining of waves of any frequencies is superposition.

Open this question

Question 20

Density and Upthrust

Why does a piece of cork float on water?

  1. A.There is no upthrust on it when completely immersed in water
  2. B.The upthrust on it when completely immersed in water is greater than its weight in air
  3. C.The upthrust on it when completely immersed in water is less than its weight in air
  4. D.Its specific gravity is greater than that of water
  5. E.Its specific gravity is the same as that of water.
Show the answer and explanation

Answer: B (The upthrust on it when completely immersed in water is greater than its weight in air)

Explanation

Cork is less dense than water, so when fully under water it displaces water weighing more than itself. The upthrust is bigger than its weight and pushes it up until it floats.

Open this question

Question 21

Pressure

The water manometer in Fig. 2 is measuring the pressure of the gas supply. If the specific gravity of mercury is 13.6 and the atmospheric pressure is 70 cm of mercury, what is the total pressure of the gas supply in cm of water?

Diagram for this question
  1. A.67 cm
  2. B.73 cm
  3. C.949 cm
  4. D.952 cm
  5. E.955 cm
Show the answer and explanation

Answer: E (955 cm)

Explanation

Atmospheric pressure = 70 × 13.6 = 952 cm of water. The water in the open arm stands 3 cm higher, so the gas pressure is 952 + 3 = 955 cm of water.

Open this question

Question 22

Thermal Expansion

A rod of length 10 cm is heated through 100°C and its final length is 10.26 cm. What is the co-efficient of linear expansion of the rod?

  1. A.0.026 per degree centigrade
  2. B.0.00026 per degree centigrade
  3. C.0.26 per degree centigrade
  4. D.1.0026 per degree centigrade
  5. E.0.0026 per degree centigrade.
Show the answer and explanation

Answer: B (0.00026 per degree centigrade)

Explanation

α = increase in length ÷ (original length × temperature rise) = 0.26/(10 × 100) = 0.00026 per °C.

Open this question

Question 23

Light and Reflection

In Fig. 3 an incident ray XY makes an angle of 15° with a fixed line AY which is normal to the surface of a plane mirror. If the mirror is turned as indicated by the arrow, through 40°, what angle will the reflected ray make with AY?

Diagram for this question
  1. A.25°
  2. B.40°
  3. C.15°
  4. D.55°
  5. E.95°
Show the answer and explanation

Answer: E (95°)

Explanation

Turning the mirror 40° turns its normal 40°, so the angle of incidence becomes 15° + 40° = 55°. The reflected ray is 55° on the other side of the new normal, which is 55° + 40° = 95° from AY.

Open this question

Question 24

Refraction of Light

If the refractive index of a medium is √2, what is the critical angle?

  1. A.45°
  2. B.50°12'
  3. C.56°25'
  4. D.75°
  5. E.90°.
Show the answer and explanation

Answer: A (45°)

Explanation

sin C = 1/n = 1/√2, so C = 45°.

Open this question

Question 25

Lenses and Optical Instruments

The arrow represents an object in front of a convex lens whose focal points are X and Y (Fig. 4). The image formed is

Diagram for this question
  1. A.between X and P
  2. B.between P and Y
  3. C.between Y and Z
  4. D.outside W
  5. E.outside Z.
Show the answer and explanation

Answer: D (outside W)

Explanation

The object is between the focus X and the lens, so the image is virtual, upright and magnified, on the same side as the object and further from the lens; with the distances drawn it lies beyond W.

Open this question

Question 26

Capacitors

What is the resultant capacity of the circuit (Fig. 5) given above?

Diagram for this question
  1. A.1.5 μF
  2. B.18.0 μF
  3. C.6.0 μF
  4. D.6.8 μF
  5. E.8.83 μF
Show the answer and explanation

Answer: A (1.5 μF)

Explanation

The 1 μF and 5 μF in parallel make 6 μF. In series with the two 4 μF capacitors: 1/C = 1/4 + 1/6 + 1/4 = 2/3, so C = 1.5 μF.

Open this question

Question 27

Current Electricity

What is the resultant resistance of the circuit (Fig. 6) given above?

Diagram for this question
  1. A.11 Ω
  2. B.8 Ω
  3. C.4 Ω
  4. D.3.6 Ω
  5. E.4.3 Ω
Show the answer and explanation

Answer: B (8 Ω)

Explanation

The two 2 Ω resistors in parallel give 1 Ω; in series with 3 Ω and 4 Ω the total is 3 + 1 + 4 = 8 Ω.

Open this question

Question 28

Scalars and Vectors

A body is acted on by forces applied at points P and Q as shown (Fig. 7). Their resultant is equal to

Diagram for this question
  1. A.2√5 N in a direction N 56°E
  2. B.2√5 N in a direction N 56°W
  3. C.2√13 N in a direction N 56°E.
  4. D.2√13 N in a direction N 56°W
  5. E.√10 N in a direction N 56°E.
Show the answer and explanation

Answer: C (2√13 N in a direction N 56°E.)

Explanation

The 4 N (north) and 6 N (east) forces are at right angles: R = √(16 + 36) = √52 = 2√13 N. tan θ = 6/4 from north, θ ≈ 56°, so the direction is N 56°E.

Open this question

Question 29

Equilibrium of Forces

A uniform beam PQ of mass 20 kg and length 5 m is balanced as shown (Fig. 8). A man of weight 800 N stands at M such that QM = 2 m. The reactions at P and Q respectively are (take g = 10 m s−2).

Diagram for this question
  1. A.300 N and 500 N
  2. B.420 N and 580 N
  3. C.220 N and 380 N
  4. D.580 N and 420 N
  5. E.380 N and 220 N
Show the answer and explanation

Answer: B (420 N and 580 N)

Explanation

Moments about P: 200 × 2.5 + 800 × 3 = Q × 5, so Q = 580 N. Then P = 1000 − 580 = 420 N.

Open this question

Question 30

Current Electricity

The value of the series resistance required to convert the above galvanometer (Fig. 9) into a voltmeter with a full range deflection of 15 V is

Diagram for this question
  1. A.985 ohms
  2. B.990 ohms
  3. C.995 ohms
  4. D.1,000 ohms
  5. E.1,005 ohms
Show the answer and explanation

Answer: C (995 ohms)

Explanation

At full scale 0.015 A flows through 5 Ω plus R: 0.015 × (5 + R) = 15, so 5 + R = 1000 and R = 995 Ω.

Open this question

Question 32

Electrostatics

As a positively charged rod is brought nearer to the top cap of a positively charged gold leaf electroscope, the divergence of the leaves will

  1. A.decrease to zero
  2. B.steadily increase
  3. C.decrease to zero and then increase
  4. D.remain constant
  5. E.increase to a maximum and then decrease.
Show the answer and explanation

Answer: B (steadily increase)

Explanation

The positive rod repels more positive charge down to the leaves, so they diverge more and more as it comes closer.

Open this question

Question 33

Radioactivity and Nuclear Physics

Which of the following statements is NOT true of γ-rays?

  1. A.γ-rays belong to the electromagnetic spectrum
  2. B.γ-rays do not carry an electron charge
  3. C.γ-rays obey the inverse cube law in air
  4. D.The thickness of aluminium which stops β-particles has a negligible effect on γ-radiation.
  5. E.The difference between γ-rays and X-rays is that γ-rays originate from energy changes in the nuclei of atoms, while X-rays come from energy changes associated with the electron structure of atoms.
Show the answer and explanation

Answer: C (γ-rays obey the inverse cube law in air)

Explanation

Radiation spreading out from a point source follows an inverse-square law, not an inverse-cube law.

Open this question

Question 34

Newton's Laws and Momentum

A rocket burns 0.01 kg of fuel each second and ejects it as a gas with a velocity of 5,000 m/s. What force does the gas exert on the rocket?

  1. A.500,000 N
  2. B.500 N
  3. C.50 N
  4. D.5,000 N
  5. E.50,000 N
Show the answer and explanation

Answer: C (50 N)

Explanation

Force = rate of change of momentum = 0.01 kg s−1 × 5000 m s−1 = 50 N.

Open this question

Question 35

Motion

Which of the following statements is true of a body which is moving in a straight line with uniform acceleration? The velocity of the body

  1. A.is also uniform
  2. B.must always be zero when the body stops accelerating
  3. C.will increase with time in the direction of the acceleration
  4. D.is equal to the quotient of distance travelled and time
  5. E.is the product of the distance travelled and time.
Show the answer and explanation

Answer: C (will increase with time in the direction of the acceleration)

Explanation

Uniform acceleration means the velocity changes by equal amounts in equal times, increasing steadily in the direction of the acceleration.

Open this question

Question 36

Light and Reflection

Two mirrors of the same length are arranged as shown in the diagram (Fig. 10). A ray of light NO strikes the system at O and emerges along PQ. The emergent ray has been deviated through

Diagram for this question
  1. A.220°
  2. B.200°
  3. C.210°
  4. D.180°
  5. E.230°
Show the answer and explanation

Answer: D (180°)

Explanation

The mirrors are at right angles. Each reflection turns the ray, and for two mirrors at 90° the total deviation is always 360° − 2 × 90° = 180°: the ray comes back parallel to its original path.

Open this question

Question 37

Change of State and Vapours

A heater marked 50 W will evaporate 0.005 kg of boiling water in 50 seconds. The specific latent heat of vaporization of water in J/kg is

  1. A.5.0 × 106
  2. B.1.0 × 106
  3. C.2.5 × 106
  4. D.2.5 × 105
  5. E.5.0 × 105
Show the answer and explanation

Answer: E (5.0 × 105)

Explanation

Heat supplied = Pt = 50 × 50 = 2500 J. L = 2500 ÷ 0.005 = 5.0 × 105 J/kg.

Open this question

Question 38

Current Electricity

A high-resistance voltmeter reads 3.0 V when connected across the terminals of a battery on open circuit and 2.6 V when the battery supplies a current of 0.2 A through a lamp. The resistance of lamp is

  1. A.2.00 Ω
  2. B.13.00 Ω
  3. C.0.52 Ω
  4. D.0.13 Ω
  5. E.1.50 Ω
Show the answer and explanation

Answer: B (13.00 Ω)

Explanation

The terminal p.d. across the lamp is 2.6 V with 0.2 A flowing, so R = 2.6/0.2 = 13 Ω.

Open this question

Question 39

Magnetism

A magnetic needle is suspended first at the earth's north magnetic pole and then at a point on the magnetic equator. The respective angles between the needle and the horizontal are

  1. A.0° and 0°
  2. B.60° and 60°
  3. C.90° and 90°
  4. D.90° and 0°
  5. E.0° and 90°.
Show the answer and explanation

Answer: D (90° and 0°)

Explanation

At a magnetic pole the earth's field is vertical, so the needle dips 90°. At the magnetic equator the field is horizontal, so the angle of dip is 0°.

Open this question

Question 41

Gas Laws

The equation Px Vy Tz = constant

  1. A.x = 0, y = 0, z = 1
  2. B.x = 1, y = 0, z = 0
  3. C.x = 1, y = 1, z = 0
  4. D.x = 1, y = 1, z = 1
  5. E.x = 1, y = 1, z = −1.
Show the answer and explanation

Answer: E (x = 1, y = 1, z = −1.)

Explanation

The general gas law is PV/T = constant, which is P1V1T−1 = constant.

Open this question

Question 42

Work, Energy and Power

The area under a force-distance graph represents

  1. A.acceleration
  2. B.velocity
  3. C.power
  4. D.work
  5. E.momentum
Show the answer and explanation

Answer: D (work)

Explanation

Work = force × distance, so the area under a force–distance graph gives the work done.

Open this question

Question 44

Lenses and Optical Instruments

The range of accommodation of a normal human eye is

  1. A.0 m to 0.1 m
  2. B.0 m to 0.25 m
  3. C.0.10 m to 0.25 m
  4. D.0.10 m to infinity
  5. E.0.25 m to infinity.
Show the answer and explanation

Answer: E (0.25 m to infinity.)

Explanation

A normal eye focuses from its near point at about 25 cm to its far point at infinity.

Open this question

Question 45

Density and Upthrust

A hydrometer is an instrument for measuring the

  1. A.depth of water in a vessel
  2. B.relative density of a liquid by the method of flotation
  3. C.relative density of a liquid by finding the apparent loss in weight
  4. D.relative humidity of the air
  5. E.atmospheric pressure when the air is humid.
Show the answer and explanation

Answer: B (relative density of a liquid by the method of flotation)

Explanation

A hydrometer floats in the liquid, and how deep it sinks shows the liquid's relative density.

Open this question

Question 46

Equilibrium of Forces

In the given diagram (Fig. 11), the values of the vertically suspended weight W and the angle X are

Diagram for this question
  1. A.2 kgf, 30.9°
  2. B.4 kgf, 36.9°
  3. C.6 kgf, 53.1°
  4. D.8 kgf, 73.8°
  5. E.12 kgf, 106.2°
Show the answer and explanation

Answer: B (4 kgf, 36.9°)

Explanation

The 5 kgf string balances the 3 kgf horizontal pull and W, so 5² = 3² + W², W = 4 kgf. The angle with the vertical has sin X = 3/5, X ≈ 36.9°.

Open this question

Question 47

Sound

In a resonance tube experiment (Fig. 12) the frequency of the tuning fork is 750 Hz and the resonating length of the air column is 0.3 m as shown. The velocity of the wave is

Diagram for this question
  1. A.1,850 m s−1
  2. B.225 m s−1
  3. C.300 m s−1
  4. D.53 × 10−5 m s−1
  5. E.2,500 m s−1
Show the answer and explanation

Answer: C (300 m s−1)

Explanation

The diagram shows three-quarters of a wavelength in the 0.3 m column, so λ = 0.4 m and v = fλ = 750 × 0.4 = 300 m s−1.

Open this question

Question 49

Elasticity

The point beyond which a stretched spring does not return to its original length is called the

  1. A.breaking point
  2. B.elastic limit
  3. C.spring constant
  4. D.elasticity point
  5. E.release point.
Show the answer and explanation

Answer: B (elastic limit)

Explanation

Beyond the elastic limit the spring is permanently stretched and will not return to its original length.

Open this question

Question 50

Elasticity

A 10 g mass placed on the pan of a spring balance causes an extension of 5 cm. If a 15 g mass is placed on the pan of the same spring balance the extension is

  1. A.3.3 cm
  2. B.6.5 cm
  3. C.7.5 cm
  4. D.10.8 cm
  5. E.15.0 cm
Show the answer and explanation

Answer: C (7.5 cm)

Explanation

By Hooke's law extension is proportional to load: 5 × 15/10 = 7.5 cm.

Open this question