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Two waves Y(1) =A " cos " (0.5 pi x -100...

Two waves `Y_(1) =A " cos " (0.5 pi x -100 pi t)` and `Y_(2)`= Acos (0.46`pi x-92pi t)` are treavelling in a pipe along x-axis. (y and x are in metre). How many times in a second does a stationary any observer hear loud sound (maximum intensity) ?

A

4

B

8

C

10

D

12

Text Solution

Verified by Experts

The correct Answer is:
A
Hence `omega_(1) =100pi " and " omega_(2) =92 pi`
Hence `V_(1) =(100pi)/(2pi) =50 Hz`
`"and "V_(2) =(92pi)/(2pi)=46 Hz`
`:.` Number of beats per second `=v_(1)-v_(2)=50 -46 =4`
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