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Due to point isotropic sound source, the...

Due to point isotropic sound source, the intensity at a point is observed as 40 dB. The density of air is `rho=((15)/(11))(kg)/(m^3)` and velocity of sound in air is `330(m)/(s)`. Based on this information answer the following questions.
Q. The ratio of displacement amplitude of wave at observation point to wavelength of sound waves is

A

`3.22xx10^-6`

B

`3.22xx10^-12`

C

`3.22xx10^-9`

D

`1.07xx10^-10`

Text Solution

Verified by Experts

The correct Answer is:
C
We have
`trianglep_0=BAK`
`impliestrianglep_0=rhov^2Axxk`
`impliestrianglep_0=(rhov^2Axx2pi)/(lamda)`
`(A)/(lamda)=(trianglep_0)/(rhov^2xx2pi)=3.22xx10^-9`
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