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.