Question

A uniform rope having some mass hangs vertically from a rigid support. A transverse wave pulse is produced at the lower end. The speed (v) of the wave pulse varies with height (h) from the lower end as:

• A.
• B.
• C.
• D.

Answer 1

The correct option is C


$v=\sqrt{\frac{T}{\mu }}$
$T=\mu hg$
$v=\sqrt{\frac{\mu hg}{\mu }}$
$\Rightarrow v\propto \sqrt{h}$