If it wave possible to generate a sinusoidal `300 H_(Z)` sound wave in air that has a displacement amplitude of `0.200 mm` . What would be the sound level ? (Assume `upsilon = 330 m//s` and `rho_(air) = 1.29 kg//m^(3))`

Answer

A, B, C, D

Explanation

`I = (1)/(2) rho omega^(2) A^(2)nu`
`= 2rho pi^(2) f^(2) A^(2) nu` (as `omega = 2 pi f`)
=`(2) (1.29) (pi)^(2) (300)^(2) (0.2 xx10^(-3))^(2) (330)`
`= 30.27 W//m^(2)`
`L = 10 log_(10) (I//I_(o))`
where, `I_(o) = 10^(-2) W//m^(2)`
Subsituting the value we get,
`L = 134.4 dB`