Thank you for reporting, we will resolve it shortly
Q.
A pulse is generated at lower end of a hanging rope of uniform density and length $L$. The speed of the pulse
when it reaches the mid point of rope is
Waves
Solution:
$v=\sqrt{\frac{T}{\mu}}$
Weight of the string below the rope stretching it $=\frac{\mu L}{2} g$
This is equal to $T$ at the middle.
$\therefore $ Velocity at middle $=\sqrt{\frac{\mu L g}{2 \mu}}$
$=\sqrt{\frac{g L}{2}}$
