A rope of length $L$ and mass $M$ hangs freely from the ceiling. If the time taken by a transverse wave to travel from the bottom to the top of the rope is $T$, then time to cover first half length is
A rope of length $L$ and mass $M$ hangs freely from the ceiling. If the time taken by a transverse wave to travel from the bottom to the top of the rope is $T$, then time to cover first half length is
- A
$T$
- B
$T\left(\frac{\sqrt{2}-1}{\sqrt{2}}\right)$
- C
$\frac{T}{\sqrt{2}}$
- D
$\frac{T}{2}$
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- [IIT 2013]
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