The count rate of an alpha-particle source is 400 per minute. If the half-life of the source is 5 days, what would be the count rate per minute after 15 days?

(a) Define the apparent cubic expansivity of a liquid

(b)(i) Describe with the aid of a labelled diagram, an experiment to determine the apparent cubic expansivity of a liquid.

(ii) State two precuations that should be taken to ensure accurate results.

(c) A density glass bottle contains 44.25g of a liquid at 0°C and 42.02g at 50°C. Calculate the real cubic expansivity of the liquid. (Linear expansivity of glass = 1.0 x 10-5K\(^{-1}\))

(a) What is meant by dispersion of white light?

(b) State the colours in the spectrum of white light in ascending order of their wavelengths

(c) Which colour is deviated.

(i) least

(ii) most?

(d) Explain why white light is dispersed when it passes through a glass prism.

(e) Describe, with the aid of a labelled diagram, how a pure spectrum of white light can be produced on a screen.

(a) Explain what is meant by the statement: The capacitance of a parallel-plate capacitor is 2\(\mu\)F

(b) State: (i) three factors on which its capacitance depends

(ii) three uses of capacitors.

(c) Derive a formula for the energy W stored in a charged capacitor of capacitance C carrying a charge Q on either plate.,

(d) Two parallel-plate capacitors of capacitances 2\(\mu\)F and 3\(\mu\)F are connected in parallel and the combination is connected to a 50V d.c. source. Draw the circuit diagram of the arrangement and determine the:

(i) charge on either plate of each capacitor

(ii) potential difference across each capacitor

(iii) energy of the combinad capacitors.

(a) Explain the following terms:

(i) viscosity;

(ii) terminal velocity.

(b)(i) Describe an experiment to determine the terminal velocity of a steel ball falling through a jar of glycerine..

(ii) State two precautions that should be taken to ensure accurate result.

(c) State two

(i) effects of viscosity

(ii) applications of viscosity.