(a) Define stable equilibrium as applied to a rigid body.

(b) Sketch a block and tackle system of pulleys with a velocity ratio of 3.

(c) At the beginning of a race, a tyre of volume 8.0 x 10\(^{-4}\) at 20°C-has a gas pressure of 4.5 x 10\(^5\) Pa. Calculate the temperature of the gas in the tyre at the end of the race if the pressure has risen to 4.6 x 1 0\(^5\) Pa.

(d)(i)

The table above shows readings of the resistance and pressure of a platinum resistance thermometer and a constant-volume gas thermometer respectively, when immersed in the same liquid bath. Use this data to determine the temperature of the bath on the: (\(\alpha\)) resistance thermometer; (\(\beta\)) gas thermometer

(ii) By what percentage is the temperature measured on the platinum resistance thermometer in error?

(a) What is a wavefront?

(b) (i) State two practical uses of glass prisms.

(ii) List two factors that determine the deviation of a ray of light travelling from air into a triangular glass prism.

(iii) Sketch a graph to illustrate the variation of the angle of deviation d, with that of incidence, i, for a ray of light travelling from air into a triangular glass prism. Indicate on the graph the point at which the angle of incidence equal to the angle of emergence e.

(c) (i) Draw and label a diagram of an astronomical telescope in normal adjustment.

(ii) The angular magnification of an astronomical telescope in normal adjustment is 5. If the focal length of the objective is 100cm, calculate the:

(\(\alpha\)) focal length of the eyepiece;

(\(\beta\)) length of the telescope.

 (i) What is dielectric?

(ii) A parallel plate capacitor consists of two plates each of area 9.6 x 10\(^{-2}\)m\(^2\), separated by a dielectric of thickness 2.25 x 10\(^{-3}\) and dielectric constant 900. Calculate the capacitance of the capacitor. [ \(\varepsilon_o\) = permittivity of free space = 8.85 x 10\(^{-12}\)Fm\(^{-1}\)]

(b) (i) Which of the following devices has a higher resistance; an ammeter or a voltmeter? Give a reason for your answer.

(ii)

The resistance of the voltmeter in the circuit diagram illustrated above is 800\(\Omega\), Calculate the voltmeter reading.

(c)

A battery of negligible internal resistance is connected to a set of resistors as illustrated in the circuit diagram above. Determine the equivalent resistance of the circuit.

(a) (i) What is nuclear fission?

(ii) State the function of each of the following ma-terials in a nuclear fision reactor:

(\(\alpha\)) graphite, (\(\beta\)) boron rods; (\(\gamma\)) liquid sodium

(b) The table below gives some of the energy levels of a hydrogen atom.

(i) Draw the energy level diagram for the atom.

(ii) Determine the wavelength of the photon emitted when the atom goes from the energy state n = 3 to the ground state. [h = 6.6 x 10\(^{-34}\) Js, c = 3 x 10\(^{8}\)ms\(^{-1}\), e = 1.6 x 10\(^{-19}\)]

(c) A piece of ancient bone from an excavation site showed \(^{14}_{6}\)C activity of 9.5 disintegrations per minute per 1.0x10\(^{-3}\)kg. If a bone specimen from a living creature shows \(^{14}_{6}\)C activity of 12.0 disintegrations per minute per 1.0 x 1 0\(^{-3}\), determine the age of the ancient bone. [Half - life of \(^{14}_{6}\)C = 5572 years].

State the dimension of; (a) impulse; (ii) acceleration; (iii) work