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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`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
(a) Displacement is zero when pressure is maximum.
(b) `Delta p_(max) = BAK`
`= (rho nu)^(2) A ((omega)/(nu)) = 2 pi f Arho nu`
:. `A = (Deltap_(max))/(2 pi f rho nu)`
`= (10)/((2 pi)(10^(3))(1.29)(340)`
`= 3.63 xx 10^(-6) m`
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