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A point source emits sound equally in all directions in a non-absorbing medium. Two point `P` and `Q` are at distance of `2 m` and `3 m` respectively from the source. The ratio of the intensities of the wave at `P` and `Q` is :

A

`9 : 4`

B

`2 : 3`

C

`3 : 2`

D

`4 : 9`

Text Solution

Verified by Experts

The correct Answer is:
A

Intensity `l prop (1)/(r^(2))`
`r_(p) = 2m and r_(Q) = 3m`
`:. (l_(p))/(l_(Q)) = ((r_(Q))/(r_(P)))^(2) = ((3)/(2))^(2) = (9)/(4)`
`rArr l_(P) : l_(Q) = 9 : 4`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-WAVE MOTION-Exercise 1
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