Q. A wave travelling in stretched string is described by the equation $y = Asin(kx - \omega t)$.The maximum particle velocity is
A) $A\omega$
B) $\frac{\omega}{k}$
C) $\frac{d\omega}{dk}$
D) $\frac{x}{t}$
Explanation
(a) Here, $y = A\sin(kx - \omega t)$
$\frac{dy}{dt} = A\cos{(kx - \omega t) \times ( - \omega)}$
$\left( \frac{dy}{dt} \right)_{\max} = A( - 1)( - \omega) = A\omega$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.