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Question: The frequencies of two sound sources are 256 Hz and 260 Hz. At t = 0, the intensity of sound is maxi...

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

A

Zero

B

π

C

π/2

D

π/4

Answer

π/2

Explanation

Solution

Time interval between two consecutive beats

T=1n1n2=1260256=14secT = \frac{1}{n_{1} - n_{2}} = \frac{1}{260 - 256} = \frac{1}{4}\sec so, t=116=T4sect = \frac{1}{16} = \frac{T}{4}\sec

By using time difference =T2π×\frac{T}{2\pi} \timesPhase difference