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S(1) and S(2) are two coherent sources o...


`S_(1)` and `S_(2)` are two coherent sources of sound of frequency `110Hz` each they have no initial phase difference. The intensity at a point P due to `S_(1)` is `I_0` and due to `S_2` is `4I_0`. If the velocity of sound is `330m//s` then the resultant intensity at P is

A

`I_(0)`

B

`9I_(0)`

C

`3I_(0)`

D

`8I_(0)`

Text Solution

Verified by Experts

The correct Answer is:
C
The wavelength of sound source `=330/110=3` meter.
The phase difference between interferring waves at P is
`=Deltaphi=(2pi)/(lambda) (S_(2)P-S_(1)P)=(2pi)/3 (5-4) =(2pi)/3`
`:.` Resultant intensity at `P=I_(0) +4I_(0) +2sqrt(I_(0)) sqrt(4I_(0)) cos .(2pi)/(3) =3I_(0)`
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