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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 negative x-axis with speed `100ms^(-1)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
`(ax+bt)`backward propagating wave
`(ax-bt)` forward propagating `v=w//k = (50)/(2)=25 m//s`
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