Question

A circular loop of rope of length L rotates with uniform angular velocity $\omega$ about an axis through its centre on a horizontal smooth platform. Velocity of pulse (with respect to rope) produced due to slight radial displacement is given by

• A. $\omega L$
• B. $\frac{\omega L}{2\pi }$
• C. $\frac{\omega L}{\pi }$
• D. $\frac{\omega L}{4{\pi }^2}$

Answer 1

The correct option is B $\frac{\omega L}{2\pi }$

wave velocity

$=\frac{\omega }{k}=\frac{\omega }{2\pi /L}=\frac{\omega L}{2\pi }$

Hence option (B) is correct