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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

`200 m//s`

B

`180 m//s`

C

`192 m//s`

D

`96 m//s`

Text Solution

Verified by Experts

The correct Answer is:
A

`v = (omega)/(k) = (100pi)/(0.5pi)`
Speed `v = 200`
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