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Question

A simple harmonic progressive wave is represented by the equation y=8 sin 2π(0.1x2t) where x and y are in centimeters and t is in seconds. At any instant the phase difference between two particles separated by 2.0 cm along the x-direction is


A

18

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B

36

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C

54

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D

72

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Solution

The correct option is D

72


y=8sinπ(x102t)2 given by comparing with

y=a sin 2π(tTxλ)

λ=10cm

So phase difference = (2πλ)×path difference

=2π10×2=25×180=72


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