JAMB Physics 1997 Past Questions

At what respective values of X, Y and Z would the unit of force, the newton, be dimensionally equivalent to M^xL^yT^z?

The distance xm travelled by a particle in time t seconds is described by the equation x = 10 + 12t², Find the average speed of the particle between the time interval t = 2s and t = 5s

A 5kg block is released from rest on a smooth plane inclined at an angle of 30^o to the horizontal. What is the acceleration down the plane? [g = 10ms^-2]

An arrow of mass 0.1kg moving with a horizontal velocity of 15ms^-1 is shot into a wooden block of mass 0.4kg lying at rest on a smooth horizontal surface. Their common velocity after impact is

Two bodies X and Y are projected on the same horizontal plane, with the same initial speed but at angles 30 and 60 respectively to the horizontal. Neglecting air resistance, the ratio of the range of X to that of Y is

Which of the following with respect to a body performing simple harmonic motion are in phase?

A body of mass 2kg moving vertically upwards has its velocity increased uniformly from 10ms^-1 to 40ms^-1 in 4s. Neglecting air resistance, calculate the upward vertical force acting on the body.[g = 10 ms^-1]

A planet has mass m₁ and is at a distance r, from the sun. A second planet has mass m₂ = 10m₁ and at a distance of r₂ = 2r₁ from the sun. Determine the ratio of the gravitational force experienced by the planets.

An object of mass 100g projected vertically upwards from the ground level has a velocity of 20ms^-1 at a height of 10m. calculate its initial kinetic energy at the ground level.[g = 10ms^-2, neglect air resistance]

An electric water pump rate 1.5 kW, lifts 200kg of water through a vertical height of 6 meters in seconds. What is the efficiency of the pump? [g = 10ms^-2, neglecting air resistance]

A load of 20N on a wire of cross-sectional area 8 x 10^-7m², produces an extension of 10m². calculate Young's modulus for the material of the wire if its length is 3m

A cube of sides 0.1m hangs freely from a string. What is the upthrust on the cube when totally immersed in water? [density of water is 1000kgm^-2, g = 10ms^-2]

A piece of wire gauze can be made to lie on water because

A liquid of mass 1.0 x 10³kg fills a rectangular tank of length 2.5m and width 2.0m. If the tank is 4m high, what is the pressure at the middle of the tank?[g = 10ms^-2]

An empty 60 litre petrol tank has a mass of 10kg. Its mass when full of fuel of relative density 0.72 is

The length of mercury thread when it is at 0^oC, 100^oC and at an unknown temperature \(\theta\) is 25mm, 225mm and 175mm respectively. The value of \(\theta\) is

Equal masses of copper and rubber are raised to the same temperature. After sometimes, the copper was observed to be at a lower temperature because

Before starting a journey, the tyre pressure of a car was 3 x 10⁵Nm^-2 at 27^oC. At the end of the journey, the pressure rose to 4 x 10⁵Nm^-2. Calculate the temperature of the tyre after the journey, assuming the volume is constant

What happens when a, certain quantity of pure ice is completely changed to water at 0^oC?

A heating coil rated at 100W is used to boil off 0.5kg of boiling water. The time taken to boil off the water is [specific latent heat of vaporization of water = 2.3 x 10⁶Jkg^-1]

A mass of a liquid at 30^oC is mixed with a mass of the same liquid at 70^oC and the temperature of the mixture is 45^oC. Find the ratio of the mass of the cold liquid to the mass of the other liquid.

What happens when a gas expands at constant temperature?

Ripples on water and light waves are similar because both

Under constant tension and constant mass per unit length, the note produced by a plucked string is 500Hz when the length of the string is 0.90m. At what length is the frequency 150Hz?

The colours seen in the thin films of oil on the road and in soap bubbles are due to

If the load at the end of a sonometer wire is immersed in a bucket of water, the original fundamental frequency of the wire could be restored by

A boy on looking into a mirror observed that his face appeared to have grown bigger. The boy must have been looking at a

Light of velocity 3 x 10⁸ms^-1 is incident on a material of reflective of index n. If the velocity of light is reduced to 2.4 x 10⁸ms^-1 in the material, what is n?

The electromagnetic waves that are sensitive to temperature changes are

Three electric cells each of e.m.f 1.5V and internal resistance of 1.0\(\Omega\) are connected in parallel across an external resistance of \(\frac{2}{3}\)\(\Omega\). Calculate the value of the current in the resistor

A galvanometer of internal resistance 50\(\Omega\) has a full scale deflection for a current of 5mA. What is the resistance required to covert it to a voltmeter with full scale deflection of 10V?

If 8 x 10^-2J of work is required to move 100\(\mu\)C of charge from a point X to a point Y in an electrical circuit, the potential difference between X and Y is

In a meter bridge experiment, two resistor 2\(\Omega\) and 3\(\Omega\) occupy the left and right gaps respectively. Find the balance point from the left side of the bridge

Two 50\(\mu\)F parallel plate capacitors are connected in series. The combined capacitor is then connected across a 100-V battery. The charge on each plate of the capacitor is

What is the total electrical energy consumed by using an electric cooker rated 1000W for 5 hrs?

The power dissipated in an a.c. circuit with an r.m.s, current of 5A, r.m.s voltage of 10V and a phase angle of 60^o is

The voltage of the domestic electric supply is represented by the equation V = 311 sin314.2t. Determine the frequency of the a.c. supply [\(\pi\) = 3.142]

In a purely inductive circuit, the current

One of the features of the fission process is that

The graphite rods surrounding the uranium fuel rods in a nuclear reactor, are used to

The following are the scores of ten students in a test of 20 marks: 15, 16, 17, 13, 16, 8, 5, 16, 19, 17. What is the modal?

Find the standard deviation of the following data -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

For what value of 6 are the forces in the diagram above in equilib4ruim

The fig above shows a block of mass m sliding down a rough inclined plane QP at angle \( \theta \) . The forces acting on the block along QP are

A uniform light beam XZ is Hinged at X and kept in equilibrium by the forces T and F as shown in the diagram above. if XO = 20m and OY = 30cm, express T in terms of F

For a rough inclined plane on which lies a body of weight W, the angle θ in the diagram above becomes the angle of friction if

The diagram above shows two wave forms P and Q at a particular instant in time. the two waves will interface

When the sun, moon and the earth are as shown in the diagram above an observer standing in X is in

In the diagram above, which of the angles \( \theta _1 \) , \( \theta _2 \) , \( \theta _3 \) and \( \theta _4 \) is the angle of deviation of the ray of light passing through the glass prism XYZ?