(a) Explain (i) work: (ii) power

(b) Show that the efficiency E, the force ratio M.A. and the velocity ratio V.R. of a machine are related by the equation: E =  M.A. x 100% V.R.

(c) An inclined plane of angle 15° is used raise a load of 4500N through a height of 2m. If the plane is 75% efficient calculate:

(i) velocity ratio of the plane;

(ii) work done on the load

(d) Explain Charles' law using the Kinetic theory of matter.

(a) State three properties of waves

(b)(i) Describe, with the aid of a labelled diagram, an experiment to show how the frequency of the note emitted by a vibrating string depends on the tension in the string

(ii) State two precautions necessary to ensure accurate results.

(c) Draw a ray diagram showing how a virtual image of an object is formed by a concave mirror.

(a) Sketch the magnetic flux pattern around a long; straight, current-carrying wire

(b) State two methods by which the sensitivity of a moving-coil galvanometer can be increased.

(c) A series RLC circuit comprises a 100-\(\Omega\) resistor, a 3-H inductor and a 4-\(\mu\)f capacitor. The a.c source of tile circuit has an e.m.f of 100V and a frequency of 160 Hz.

(i) Draw the circuit diagram of the arrangement. Calculate the:

(ii) capacitive reactance;

(iii) inductive reactance:

(iv) impedance of the circuit;

(v) current in the circuit;

(vi) average power dissipated in the circuit.

(a) Explain: (i) Fusion. (ii) Fission.

(b) State three advantages of fusion over fission in the generation of power

(c) Calculate in joules, the binding energy for

\(\frac{59}{27}\) Co

(Atomic mass of \(^{59}_{2} Co\) = 58.9332 u)

 (Mass of proton = 1.00783u)

(Mass of neutron = 1.00867 u)

(Unified atomic mass unit, U = 931 MeV)

(1 eV = 1.6 x 10\(^{-19}\) J)

In the diagram, a thread AC, fixed at pulley A passes over pulley C on a force board and carries an unknown mass m\(_{o}\). Retain this mass m\(_{o}\) throughout the experiment. Draw a line along the direction of AC on the paper held behind the thread. Locate the mid-point B of AC and mark its position on this line. Draw BP at right angles to AC. By means of a loop of thread, suspend a mass M 50 g from AC and adjust the position of the loop so that the line of action of the weight of M lies along with BP. Ensure that M and m\(_{o}\), hang off the force board. Measure BO = y and AO. Evaluate y / AO. Repeat the experiment for M = 70,90,110 and 130g respectively. In each case, determine the corresponding values of y, AO, and y / AO. Tabulate your readings. Plot a graph of Y/AO on the vertical axis and M on the horizontal axis. Determine the slopes s of the graph. State two precautions taken to ensure accurate results. Attach your traces to your answer script.

(b)i. Distinguish between the resultant and the equilibrant of forces.

ii. State two conditions necessary for the equilibrium of three non-parallel coplanar forces.