A uniform rope having some mass hanges vertically from a rigid support. A transverse wave pulse is produced at the lower end. The speed $(v)$ of the wave pulse varies with height $(h)$ from the lower end as:
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$v=\sqrt{\frac{T}{\mu}}=\sqrt{\frac{\mu x g}{\mu}}=\sqrt{g x} \Rightarrow v^{2}=g x$
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