(a) Distinguish between transverse and longitudinal waves with appropriate examples.

(b) Explain the principle of superposition of waves and hence explain how standing wave is formed. Deduce the conditions of forming nodes and antinodes in the standing waves.

(c) Two transverse sinusoidal waves travel in opposite directions along a string. Each has an amplitude of 3 cm and a wavelength of 6 cm. The speed of a transverse wave in the string is 0.50 cm/sec. Plot the shape of the string at each of the following times: t = 0, t = 1.5, t = 3.0, t = 6.0, t = 7.5, and t = 9.0 sec.