A vertical string, suspended from a fixed point and having a small mass attached to the free end is set into oscillations. Which of the following statements about the system are correct? i. The potential energy of the mass is a minimum at the middle of the swing ii. Its kinetic energy is a maximum at the middle of the swing iii. The sum of the potential and kinetic energies is constant throughout the swing

• A. i,ii and iii
• B. i and ii only
• C. ii and iii only
• D. i and iii only

The inner diameter of a test tube can be measured accurately using a

• A. micrometer screw guage
• B. pair of dividers
• C. metre rule
• D. pair of vernier calipers

A conductor has a diameter of 1.00 mm and length 2.00m. if the resistance of the material is 0.1Ω, its resistivity is?

• A) 2.55 x 10⁵ Ωm
• B) 2.55 x 10² Ωm
• C) 3.93 x 10^-6 Ωm
• D) 3.93 x 10^-8 Ωm

An object of mass 2 kg moves with a uniform speed of 10ms^-1 for 5s along an straight path. Determine the magnitude of its acceleration

• A. 0 ms^-2
• B. 1 ms^-2
• C. 3 ms^-2
• D. 4 ms^-2

The lens illustrated above can best be described as a

• A. converging meniscus
• B. plano-convex
• C. diverging meniscus
• D. bi-convex

The magnitude of the force required to make an object of mass M move with speed V in a circular path of radius R is given by the expression.

• A. mr/v
• B. (mr)²/v
• C. mv²/r
• D. mv/2

A particle is projected at an angle of 30° to the horizontal with a speed of 250 ms\(^{-1}\). Calculate the;

(a) total time of flight of the particle;

(b) speed of the particle at its maximum height. [ g = 10 ms\(^{-2}\)]

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

• A. displacement and velocity of the body
• B. displacement and force on the body
• C. velocity and acceleration of the body
• D. force acting on the body and the acceleration

(a) Explain why it is not advisable to sterilize a clinical thermometer in boiling water at normal atmospheric pressure.

(b) State the effect of an increase in pressure on the

(i) boiling point; and

(ii) melting point of water.

(c) Diagram:

The graph shown above is that of the saturated vapour pressure (s.v.p.) of water against temperature.

Pure water is known to boil at 100\(^o\)C and at an atmospheric pressure of 760 mmHg. What general conclusion can be drawn from the information given above?

d) A thread of mercury of length 20 cm is used to trap some air in a capillary tube with uniform cross-sectional area and closed at one end. With the tube vertical and the open end uppermost, the length of the trapped air column is 15cm. Calculate the length of the air column when the tube is held:

i) horizontally;

ii) vertically with the open end underneath. [Atmospheric pressure = 76cmHg]

PQRS is rectangular cell with PQ perpendicular to the magnetic field as shown below. If a current flows in the the direction PQRS in what direction will the coil move

• A. Upwards
• B. Downwards
• C. Towards The North Pole
• D. Towards The South Pole