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The intensity of sound from a radio at a...

The intensity of sound from a radio at a distance of 2 metres from its speaker is `1xx10^(-2) mu W//m^(2)`. The intensity at a distance of 10 meters would be

A

`0.2xx10^(-2)muW//m^(2)`

B

`1xx10^(-2)muW//m^(2)`

C

`4xx10^(-4)muW//m^(2)`

D

`5xx10^(-2)muW//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Intensity `prop(1)/(r^(2))implies(I_(2))/(I_(1))=(r_(1)^(2))/(r_(2)^(2))implies(I_(2))/(1xx10^(-2))=(2^(2))/(10^(2))=(4)/(100)`
`implies I_(2)=4xx10^(-4)muW//m^(2)`.
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