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Two plane harmonic sound waves are expre...

Two plane harmonic sound waves are expressed by the equations
`y_(1)(x,t)=Acos((pi)/(2)x-100pit)`
`y_(2)(x,t)=Acos((46pi)/(100)x-92pit)`
All quantities taken in MKS.
Q. how many times does an observer hear maximum intensity in one second?

A

4

B

10

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
In one second number of maxima is called the beat frequency
Hence, `f_(b)=f_(i)-f_(2)=(100pi)/(2pi)-(92pi)/(2pi)=4Hz`
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