Wave motionHard

Question

A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10 cm/s. The wavelength of the wave is 0.5 m and its amplitude is 10 cm. At a particular time t, the snap -shot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is
Figure:
         

Options

A.
B.
C.
D.

Solution

y = 5 cm and V = + ve
y = 5 cm and V = +vey = A sin (ωt ± φ)   V = Aω cos (ωt ± φ)
We get ωt ± φ = 30o
ω = 2π
v = Aω cos (ωt ± φ) = m/s

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