A transverse wave is travelling along a string from left to right. The adjoining figure represents the shape of the string at a given instant. At this instant, among the following, choose the wrong statement:-

Particle velocity, $\frac{dy}{dt}=-V\left(\frac{dy}{dx}\right)$

or $\frac{dy}{dt}=-$Wave velocity × slope of the wave

(a) For upward velocity, vpa = + ve, so slope must negative which is at the points D, E and F.

(b) For downward velocity, v_pa = –ve, so slope must be positive which is at the points A, B and H.
(c) For zero velocity, slope must be zero which is at C and G.
(d)For maximum magnitude of velocity, |slope| = maximum, which is at A and E. Hence, alternative is wrong.