[UPSC CSE 2000] Waves (Q67, 20M)

The case of a Simple Harmonic Progressive Wave traversing through a medium is expressed as y = 4 \times 10^{-5} \sin(600\ \pi t + \varphi) Determine

(i) amplitude of vibration of the particles.

(ii) wavelength of the sound wave and

(iii) the phase difference between the particles situated at a distance of 22\text{ cm}. (The sound velocity in the medium is 3.4 \times 10^4\text{ cm/s}).