An object is placed at different distances, u, from a converging lens of focal length, 15.0cm. For what value of u does the lens act as a microscope?

• A. u = 15cm only
• B. u = 30cm only
• C. M < 15cm only
• D. u > 30cm only

• A. I
• B. II
• C. III
• D. IV

Air at temperature 527°C and pressure 30 atmospheres is admitted into the cylinder of an engine. Calculate the pressure of the gas when it has expanded to 5 times its volume and cooled to 127°C as it leaves the engine

• A. 1.5 atmospheres
• B. 2.5 atmospheres
• C. 3.0 atmospheres
• D. 12.8 atmospheres

A solid weigh 10 .00 N in air, 6 N when fully immersed in water and 7 . 0 N when fully immersed in a liquid X. Calculate the relative density of the liquid, X.

• A. 5/3
• B. 4/3
• C. 3/4
• D. 7/10

Calculate the force acting on an electron of charge 1.6 x 10^-19C placed in an electric field of intensity 10⁸Vm^-1

• A. 1.6 x 10^-11N
• B. 1.6 x 10^-14N
• C. 1.6 x 10^-16N
• D. 1.0 x 10^-16N

A diver is 5.2m below the surface of water of density 1000Kgm^-3. If the atmospheric pressure is 1.02 x 10⁵pa. Calculate the pressure on the diver [g = 10ms^-2]

• A. 6.20 x 10⁴ pa
• B. 1.02 x 10⁵ pa
• C. 1.54 x 10⁵ pa
• D. 5.20 x 10⁵ pa

(a)i) Define a torque.

(ii)State three factors that determine a torque

(b)(i) Define free fall.

(ii) A body is thrown vertically upwards from the top of a tower 40.0m high with a velocity of 10.0ms\(^{-1}\). Calculate the time taken for the body to reach the ground. [g.= 10.0ms\(^{-2}\)]

c) A cube of wood of side 8.0cm, floats at the interface between oil and water with 2.0cm of its surface below the interface as shown in the diagram below. Given that the relative densities of oil and water are 0.72 and 1.00 respectively, calculate the mass of the wood

Which of the following materials does not serve as a safety device in electrical circuits?

• A. Connecting wires
• B. Earth wire
• C. Fuse
• D. Switch

(a) State the conditions of equilibrium for a number of coplanar parallel forces.

(b) A metre rule is found to balance horizontally at the 48 cm mark. When a body of mass 60 g is suspended at the 6 cm mark, the balance point is found to be at the 30 cm mark. Calculate the;

(i) mass of the metre rule;

(ii) distance of the balance point from the zero end, if the body were moved to the 13 cm mark.

(c) a man pulls up a box of mass 70 kg using an inclined plane of effective length 5 m unto a platform 2.5 m high at a uniform speed. If the frictional force between the box and the plane is 1000 N;

(i) draw a diagram to illustrate all the forces acting on the box while in motion;

(ii) calculate the I. minimum effort applied in pulling up the box; II. velocity ratio of the plane, if it is inclined at 30° to the horizontal; Ill. force ratio of the plane.