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The equation of a progresive wave along ...

The equation of a progresive wave along a string is `y=2 x 10^(-6) sin pi (t/0.002-x/60)` where x is in cm and t is in second. What is the phase difference at any instant between two points which are 2 cm apart?

A

`pi/2` radian

B

`pi/15` radian

C

`pi/20` radian

D

`pi/30` radian

Text Solution

Verified by Experts

The correct Answer is:
D
`y=2 xx10^(-6) sin 2pi [t/0.004-f/120]`
Comparing with `y=A sin 2pi (t/T-x/lambda)`
We get, `lambda=120` cm
`:.` Phase difference `=(2pi x)/lambda =(2pi)/120xx2=pi/30` rad
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