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A simple harmonic wave is represent by t...

A simple harmonic wave is represent by the relation
`y(x,t)=a_(0) sin 2pi(vt-(x)/(lambda))`
if the maximum particle velocity is three times the wave velocity, the wavelength `lambda` of the wave is

A

`(2pi A)/(3)`

B

`(pi A)/(3)`

C

`(3)/(2pi A)`

D

`(pi A)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`y = A sin 2pi (nt - (x)/(lamda))`
Max partice velocity = 3 (wave velocity)
`:. omega A = 3 (n lamda) 2pi n A = 3n lamda " " :. lamda = (2pi A)/(3)`
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