Q.

If the maximum speed of a particle on a travelling wave is V0, then find the speed of a particle when the displacement is half of the maximum value is (the wave equation is Y=Asin(ωtkx)

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a

3V02

b

V0

c

V02

d

3V04

answer is A.

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Detailed Solution

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For the wave Y=Asin(ωtkx), 

Maximum velocity is

V0=Aω

At half the maximum displacement :

A2=Asin(ωtkx)sin(ωtkx)=12

 and Vparticle=cos(ωtkx) 

VP=V032

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