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The frequencies of two sound sources are...

The frequencies of two sound sources are 256 Hz and 260 Hz, At `t=0` the intesinty of sound is maximum. Then the phase difference at the time `t=1//16` sec will be

A

zero

B

`pi`

C

`(pi)/2`

D

`(pi)/4`

Text Solution

Verified by Experts

The correct Answer is:
C
The time interval between two consecutive beats
`T=1/(n_(1)-n_(2))=1/(260-56)=1/4s`
so `t=1/16=T/4S`
By using time difference `=T/(2pixx`Phase
difference
`impliesT/4=T/(2pi)xxphi`
`impliesphi=(pi)/2`
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