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  • If the speed of longitudinal waves equals 10 times the speed of the transverse waves in a stretched at a wire of materials which has modulus of elasticity E, then the stress in the wire is-<div

If the speed of longitudinal waves equals 10 times the speed of the transverse waves in a stretched at a wire of materials which has modulus of elasticity E, then the stress in the wire is-

Option: 1

10E


Option: 2

100E


Option: 3

\frac{E}{10}


Option: 4

\frac{E}{100}


Answers (1)

best_answer

\begin{aligned} Use,\ \sqrt{\frac{\epsilon}{\rho}} & =10 \sqrt{\frac{T}{\mu}} \Rightarrow 100\left(\frac{T}{\mu}\right)=\frac{\epsilon}{\rho} \\ \frac{T}{S} & =\frac{\epsilon \mu}{100 \rho S} \\ But,\ \rho S & =\mu, \quad \text { strcss }=\frac{T}{S}=\frac{E}{100} \end{aligned}

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Gautam harsolia

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