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A point source emits sound equally in al...

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

`9:04:00 AM`

B

`2:03:00 AM`

C

`3:02:00 AM`

D

`4:09:00 AM`

Text Solution

Verified by Experts

The correct Answer is:
A
Intensity of sound `I=(P)/(4pir^2)`
or `1prop(1)/(r^2)` or `(I_1)/(I_2)=((r_2)/(r_1))^2`
Here `r_1=2m,r_2=3m`
Substituting the values, we have `(I_1)/(I_2)=((3)/(2))^2=(9)/(4)`
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