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Q.

A steel wire 0.72m long has a mass of 5.0 ×10^–3 kg. If the wire is under a tension of 60N, what is the speed of transverse waves on the wire ?

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Detailed Solution

$\begin{aligned} l = 0 .72 m, m = 5.0 \times 10^{- 3} kg, T = 60 N \\ μ = \frac{5 .0 \times 10^{- 3} kg}{0 .72 m} = 6 .9 \times 10^{- 3} {kgm}^{- 1} \end{aligned}$
The speed of wave on the wire is given by,
$V = \sqrt{\frac{T}{μ}} = \sqrt{\frac{60 N}{6 .9 \times 10^{- 3} {kgm}^{- 1}}} = 93 {ms}^{- 1}$

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