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Q.

The displacement of a particle in a string carrying a travelling wave is represented by the equation y=A sinKx-ωt+ϕ. At t = 0, The particle at x = 0 is at half of amplitude and is moving in upward direction. Then value of ϕ is

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a

60o

b

120o

c

30o

d

300o

answer is C.

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Detailed Solution

Since the particle at x = 0 is moving upward at t = 0, putting t=0 and y= A/2, we can write+A/2=A sinϕ⇒ϕ=30o

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