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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. What is the speed of the sound?

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
Speed of wave
`v=(omega)/(R)=v=(100pi)/(0.5 pi)rArr(92pi)/(0.46pi)=200 m//s`
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