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The displacement of a particle of a medi...

The displacement of a particle of a medium when a sound wave propagates is represented by y = A cos (ax+ bt). Given that A, a and b are positive constants, the wave speed is

A

b

B

`(b)/(2pi)`

C

`(2 pi)/(a)`

D

`(b)/(a)`

Text Solution

Verified by Experts

The correct Answer is:
D
The equation of a wave travelling along the negative direction of the x-axis is `y=A cos (omega t+kx)," so that "lamda =(2pi)/(k)=(2pi)/(a) and n=(omega)/(2pi)=(b)/(2pi).`
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