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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)=A cos (0.5 pi x-100 pit), y_(2)(x,t)=A cos(0.46 pix-92pi t)` (All parameters are in MKS) :
At x=0 how many times the amplitude of `y_(1) + y_(2)` is zero in one second :-

A

`4`

B

`10`

C

`6`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
A
`2pif_(1) = 10 , f_(1) = 50`
`2pif_(2) = 92pi , f_(2) = 46`
beat by `= 50 - 46 = 4`
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