The equation of a standing wave is `y=0.2` `sinfrac{2pi}{0.3}xcdot cos frac{2pit}{0.01}` where x and y are in metres and t is in seconds. The velocity of propagation of the wave isA. 30 `ms^(-1)`B. 40 `ms^(-1)`C. 300 `ms^(-1)`D. 400 `ms^(-1)`

The equation of a standing wave is `y=0.2` `sinfrac{2pi}{0.3}xcdot cos

1.	The equation of a standing wave is `y=0.2` `sinfrac{2pi}{0.3}xcdot cos frac{2pit}{0.01}` where x and y are in metres and t is in seconds. The velocity of propagation of the wave isA. 30 `ms^(-1)`B. 40 `ms^(-1)`C. 300 `ms^(-1)`D. 400 `ms^(-1)`
Answer» Correct Answer - a The given wave equation is `Y=0.2 sin frac(2pi)(0.3)xcos frac(2pit)(0.01)` ...(i) Comparing Eq. (i) with standard wave equation `y=a sin kx cos omega t,` we get `omega = (2pi)/(0.01) rads^(-1) rArr k = (2k)/(0.3)rad//m` `rArr` Wave velocity `omega/k=(2pi//0.01)/(2pi//0.3)=(0.3)/(0.01)=30 ms^(-1)`

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The equation of a standing wave is `y=0.2` `sinfrac{2pi}{0.3}xcdot cos frac{2pit}{0.01}` where x and y are in metres and t is in seconds. The velocity of propagation of the wave isA. 30 `ms^(-1)`B. 40 `ms^(-1)`C. 300 `ms^(-1)`D. 400 `ms^(-1)`

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