(a) State the conditions for the equilibrium of a rigid body acted upon by parallel forces

(b)(i) Describe an experiment, using the principle of moments, to determine the mass of a metre rule

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

(c) A bullet of mass 120g is fired horizontally into a fixed wooden block with a speed of 20ms\(^{-1}\). The bullet is brought to rest in the block in 0.1s by a constant resistance. Calculate the:

(i) magnitude of the resistance;

(ii) distance moved by the bullet in the wood.

(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)