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Two sources of sound of the same frequen...

Two sources of sound of the same frequency produce sound intensities `I` and `4I` at a point `P` when used individually. If they are used together such that the sounds from them reach `P` with a phase differenceof `2pi//3`, the intensity at `P` will be

A

2l

B

3l

C

4l

D

5l

Text Solution

Verified by Experts

The correct Answer is:
B
`I=I_(1)+I_(2)+2sqrt(I_(1)I_(2))cosphi`
`=I+4I+2sqrt(Ixx4I)xx"cos"(2pi)/3`
`=5I+4Ixx(-1/2)=5I-2I=3I`
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