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A wire having mass per unit length m and...

A wire having mass per unit length m and length `L` is fixed between two fixed vertical walls at a separation `L`. Due to its own weight the wire sags. The sag in the middle is `d (lt lt L)`. Assume that tension is practically constant along the wire, owing to its small mass. Calculate the speed of the transverse wave on the wire.

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The correct Answer is:
`v=L sqrt(g/(8d))`
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