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A simple harmonic progressive wave is re...

A simple harmonic progressive wave is representive by the equation `y=8 sin 2pi (0.1x -2t)` where x and y are in centimetres and t is in seconds. At any instant the phase difference between two particle separted by 2.0 cm along the x-direction is

A

`18^(@)`

B

`36^(@)`

C

`54^(@)`

D

`72^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
`y=8sin2pi(0.1x-2t)`
`k=0.2piimplies0.2pi=(2pi)/(lambda)implieslambda=10cm`
`Deltaphi=(2pi)/(lambda)xxDeltax|=(2pi)/(10)xx2=(2pi)/(5)=72^(@)`
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