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A tavelling harmonic wave is represent...

A tavelling harmonic wave is represented by the equation ` y(x,t)=10^(-3)` sin (50t+2x), where x and Y are in meter and t is in seconds . Which of the following is a correct statement about the wave?

A

The wave is propagating along the negative x-axis with speed `25ms^(-1)`

B

The wave is propagating along the negative x-axis with speed `100ms^(-1)`

C

The wave is propagating along the positive x-axis with speed `100ms^(-1)` .

D

The wave is propagating along the positive x-axis with speed `25ms^(-1)`.

Text Solution

Verified by Experts

The correct Answer is:
A

`(ax +bt)` backward propagating wave
`(ax -bt)` forward progagating
`v=w//l=(50)/(2)=25m//s`.
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