A rope of length \( L \) and mass \( M \) hangs freely from the ceiling. If the time taken by a ...

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A rope of length \( L \) and mass \( M \) hangs freely from the ceiling. If the time taken by a tranverse wave to travel from the bottom to the top of the rope is \( T \), then time to cover first half length is
\( P \)
(a) \( T \)
(b) \( T\left(\frac{\sqrt{2}-1}{\sqrt{2}}\right) \)
(c) \( \frac{T}{\sqrt{2}} \)
(d) \( \frac{T}{2} \)
W.
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