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A typical loud sound wave with a frequen...

A typical loud sound wave with a frequency of `1 Kh_(Z)` has a pressure amplitude of about `10` Pa
(a) At `t = 0`, the pressure is a maximum at some point `X_(1)`. What is the displacement at that point at `t = 0`?
(b) What is the maximum value of the displacement at any time and place/ Take the density of air to be `1.29 kg//m^(3)` and speed of sound in air is `340 m//s`.

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The correct Answer is:
0
When pressure is maximum at a point, displacement is zero as pressure and displacement oscillate in phase difference of `pi//2`
Pressure amplitude isrelated to displacementamplitude as
`DeltaP_(0) = (2pi)/(lambda)AB`
`A = (DeltaP_(0)lambda)/(2piB) = ((10 ^(-4)atm).(330//1000))/(2xx3.14xx1.4 xx(latm))`
= `3.753 xx 10^(-6)`m
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