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The equation of a simple harmonic motion is given by `y = 3 sin.(pi)/(2) (50 t-x)`, where x and y are in metres and t is in seconds, the ratio of maximum particle velocity to the wave velocity isA. 25 m/sB. 30 m/sC. 50 m/sD. None of these |
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Answer» Correct Answer - C The given wave equation is `y = 3 sin .(pi)/(2)(50 t - x)` `implies " "y = 3 sin (25 pi t - (pi)/(2)x) " "...(i)` Comparing with standard equation `y = a sin (omegat - kx) " "...(ii)` `omega=25pi, k = pi//2` Wave velocity, `v = (omega)/(k)=(25pi)/(pi//2)=50m//s` |
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