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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

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

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detailed solution

Correct option is B

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


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