A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of `10cm//s`. The wavelength of ythe wave is `0.5m` and its amplitude is `10cm`. At a particular time `t`, the snap-shot of the wave is shown in figure. The velocity of point `P` when its displacement is `5cm` is -

Options

A. (a) `sqrt(3)/(50)hat(J)m//s`
B. (b) `-sqrt(3)/(50)hat(J)m//s`
C. ( c ) `sqrt(3)/(50)hat(i)m//s`
D. (d) `-sqrt(3)/(50)hat(i)m//s`

Answer

A

Explanation

(a) Since the wave is sinusoidal moving in positive x-axis the point will move parallel to y-axis therefore options ( c ) and (d) are ruled out. As the wave moves forward in positive X-diretion, the point should move upwards i.e. in the positive Y-direction. therefore correct option is a.