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Questions  

The displacement y of a particle in a medium can be expressed as  y=10-6sin100t+20x+π4 m where t is in second and x in metre. The speed of the wave is 

a
2000 m s-1
b
5 m s-1
c
20 m s-1
d
5π m s-1

detailed solution

Correct option is B

As given displacement equation of SHM, y=10-6sin100t+20x+π4 -------(1)Equation(1) comparing it with y=Asin(ωt+kx+φ)  , we obtain  ω=100rads-1,k=20Nm-1Speed of wave V=ωK=10020=5ms-1 .

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