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Q.

In a sine wave position, of different particles at time t = 0 is shown in the figure. The equation for this wave if it is travelling along positive x–axis can be

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a

y = A sin(ωt - kx)

b

y = A sin(kx - ωt)

c

y = Acos(ωt - kx)

d

y = A cos(kx - ωt)

answer is B.

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Detailed Solution

At t = 0, x = 0 displacement y = 0Therefore, option (A) and (B) may be correct.Secondly slope at x = 0 at t = 0 is positivei.e., particle velocity is in negative y–direction because particle velocity= – (slope) (wave speed).So, particle at x = 0 travelling in negative y–direction.
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