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The faintest sound the human ear can det...

The faintest sound the human ear can detect at a frequency of ` kHz` (for which ear is most sensitive) corresponds to an intensity of about `10^(-12)w//m^(2)`. Assuming the density of air `cong1.5kg//m^(3)` and velocity of sound in air `cong300m//s`, the pressure amplitude and displacement amplitude of the sound will be rspectively ____`N//m^(2)` and ____`m`.

A

`3xx10^(-5) Pa`

B

`2xx10^(-5) Pa`

C

`5xx10^(-5) Pa`

D

`4xx10^(-5) Pa`

Text Solution

Verified by Experts

The correct Answer is:
A

`I=(P_(m)^(2))/(2rhoV)`
`10^(-12)=(P_(m)^(2))/(2(1.5)(300))`
`P_(m)=3xx10^(-4) P_(a)`
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