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From a height of 2 m a drop of water of ...

From a height of 2 m a drop of water of radius `2xx10^(-3)` m fall and produces a sound. The sound produced can be heard upto a distance of 20 m. If the gravitational energy is converted into sound energy in 0.5 s, then calculate the intensity at a distance of 20 m.

A

`2xx10^(-7)W//m^(2)`

B

`2.6xx10^(-6)W//m^(2)`

C

`2.6xx10^(-7)W//m^(2)`

D

`3xx10^(-7)W//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C

Change in garviational energy = mgh
`=(4/3pir^(3))` pgh jouic
Hence, power `=(4/3pir^(3)pgh)/(t)\` watt
and intensity `=(4/3pir^(3)pgh)/((4piR^(2))t)=2.6xx10^(-7)W//m^(2)`
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