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Q.

Fig. below shows the wave y=Asin(ωt−kx) at any instant travelling in the +ve x-direction. What is the slope of the curve at B

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a

ω/A

b

k/A

c

kA

d

ωA

answer is C.

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Detailed Solution

The particle velocity is maximum at B and is given by dydt=(vp)max=ωAAlso wave velocity is dxdt=v=ωkSo slope dydx=(vp)maxv=kA
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