Question

A string is hanging from a rigid support. A transverse wave pulse is set up at the bottom. The velocity $v$ of the pulse related to the distance covered by it is given as

• A. $vx$
  
• B. $v-x$
  
• C. $v/x$
  
• D. none of these

Answer 1

The correct option is D none of these

Mass of the string is $M$. Let the length of the string be $L$ & tension be $T$

Velocity $V=\sqrt{\frac{T}{\mu }}$

Let us consider the distance travelled by the wave be $x$.

$\therefore$ The tension $T=\left(\frac{M}{L}\right)xg$

$\Rightarrow V_0=\sqrt{\frac{\left(m/L\right)xg}{\left(m/L\right)}}$

$[V=\sqrt{xg}]$

The velocity V of the pulse related to the distance covered by it.

$\therefore$ Option (D) is correct.