`y-x` curve at an instant for a wave travelling along `x-`axis on a string is shown. Slope at the point `A` on the curve, as shown, is `tan 53^(@)`.

Options

A. Transverse velocity of the particle at point `A` is positive if the wave is travelling along positive `x-`axis.
B. Transverse velocity of the particle at point `A` is positive if the wave is travelling along negative `x-`axis of the particle at point `A`
C. Magnitude of transverse velocity of the particle at point `A` is greater than wave speed.
D. Magnitude of transverse velocity of the particle at point `A` is lesser than wave speed.

Answer

B, C

Explanation

As shown in the curve, if wave is moving along `-x` axis, `v_(p)` is positive.

`(V_(p))/(V_(w)) = -tantheta`
`|-tantheta|gt 1 , : V_(p) gt V_(w)`