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The equation of a travelling wave is, ...

The equation of a travelling wave is,
`Y = A sin 2pi (pt-x//5)`
Then the ratio of maximum particle velocity to wave velocity is,

A

`(piA)/(5)`

B

`2sqrt(5pi A)`

C

`(2piA)/(5)`

D

`(2piA)/(sqrt5)`

Text Solution

Verified by Experts

The correct Answer is:
C

`omega = 2pi p and k = (2pi)/(5)`
`:. n = p and (2pi)/(lamda) = (2pi)/(5)`
`(v_("Pm"))/(v) = (A omega)/(n lamda) = (A2pi p)/(p xx 5) = (2pi A)/(5)`
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