A sound wave of wavel ength 40 cm travels in air. If the difference between the maximum and minimum pressure at a given point is ` 4 . 0 xx 10^(-3) N//m^(2)` , find the amplitude of vibration of the particles of the medium `P_("max") - P_("min") = (P + p_(o)) = 2p_(o)` . The bulk modulus of air is ` 1.4 xx 10^(3) N//m^(2)`

Explanation

The pressure amplitude is `p_(o) = (4 . 0 xx 10^(-3) N//m^(2))/(2) = 2 xx 10 ^(-3) N//m^(2)`
The displacement amplitude A is given by
`p_(0) = BAK`
or ` A = (p_(0))/(BK) = (p_(0)lambda)/(2 pi B)`
` = (2xx10^(-3) xx (40 xx 10^(-2)))/(2 xx pi xx 14 xx 10^(4)) = (200)/(7 pi) A `
` A = 13 . 2 A`