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The equation of a progressive wave is ...

The equation of a progressive wave is
`y = A sin (omega t - (2pi x)/(lamda))`. In terms of frequency and velocity of the wave, this equation is written as:

A

`y = A sin 2pi n (t - (v)/(x))`

B

`y = A sin 2pi n (t - (x)/(v))`

C

`y = A sin 2pi (n t- (x)/(v))`

D

`y = 2A sin pi (nt = (x)/(v))`

Text Solution

Verified by Experts

The correct Answer is:
B

`y = A sin (w t - (2pi x)/(lamda)) " but " omega = 2pi n and lamda = (v)/(n)`
`:. y = A sin [2pi n t - (2pi xn)/(v)] = A sin 2pi n [t' - (x)/(v)]`
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