A string of mass $M$ is under a tension $T$. The length of the string is $L$. A transverse wave starts at…
A string of mass $M$ is under a tension $T$. The length of the string is $L$. A transverse wave starts at one end of the string., the time required for the disturbance to reach the other end is
$\sqrt{\frac{L M}{T}}$
$\sqrt{L M T}$
$\sqrt{\frac{T}{L M}}$
$\sqrt{\frac{L T}{M}}$
Solution
The velocity of transverse wave on a string is given by, $v=\sqrt{\frac{T}{\mu}}$, where $T$ is tension and mass per unit length of the string $\mu=\frac{M}{L}$.
Time required to travel $L$ distance would be,
$\frac{L}{v}=L \sqrt{\frac{M}{T L}}=\sqrt{\frac{L M}{T}}$