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?

Options

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)`

Answer

A

Explanation

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