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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` metre.
The phase difference between interfering waves at P is
`=Delta phi=(2pi)/(lamda)(S_2P-S_1P)=(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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