[UPSC CSE 2000] Waves (Q66, 20M)

The maximum pressure variation $P$ that the human ear can tolerate in loud sounds is about $28\text{ nt/m}^2$ . Normal atmospheric pressure is about $100,000\text{ nt/m}^2$ . Find the corresponding maximum displacement for a soundwave in air having a frequency of $100\text{ cycles/second}$ . (Take velocity of sound in air as $331\text{ m/sec.}$ arid density of air $= 1.22\text{ kg/m}^3$ )