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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`

1 Answer

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Best answer
Correct Answer - 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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