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The equation of a wave is, y = 1.5 sin (...

The equation of a wave is, `y = 1.5 sin (314 t - 12.56 x)m`. The phase difference between two points 7.5 m apart is

A

`100pi` rad

B

`4pi` rad

C

`10pi` rad

D

`30pi` rad

Text Solution

Verified by Experts

The correct Answer is:
D
`y = 1.5 sin (314 t - 12.56 x) m`
Comparing it with standard equation, `y = A sin (omega t - kx)`
`k = 12.5, x = 7.5`
delta = (2pi x)/(lamda)`
`kx = 12.56 xx 7.5`
`= 4pi xx 7.5 = 30 pi`
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