1. Tardigrade
  2. Question
  3. Physics
  4. A string of length L and mass M hangs freely from a fixed point. Then, the velocity of transverse waves along the string at a distance x from the free end is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A string of length L and mass M hangs freely from a fixed point. Then, the velocity of transverse waves along the string at a distance $ x $ from the free end is

Jharkhand CECEJharkhand CECE 2012

Solution:

Total length of string = L Mass of the string = M
The velocity of transverse wave
$ v=\sqrt{\frac{T}{m}} $
where, $ T= $ weight of part of string hanging below the point under consideration
$ =\left( \frac{M}{L1} \right)xg $
$ \Rightarrow $ $ v=\sqrt{\frac{\left( \frac{M}{L} \right)xg}{\left( \frac{M}{L} \right)}}=\sqrt{xg} $

Solution Image