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Questions  

The equation of a simple harmonic wave is given by y=3sinπ2(50tx)  where x and y are in meters and t is in seconds. The ratio of maximum particle velocity to the wave velocity is 

a
32π
b
c
23π
d

detailed solution

Correct option is A

y=3sin⁡π2(50t−x)  Particle velocity =∂y∂t=3π2×50cos⁡π2(50t−x)  Maximum particle velocity =75πm/s  Wave velocity v=ωk=501=50m/s& Required ratio =75π50=32π

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