﻿ A load W is hanging from the string of length l and area of cross section A. The string suddenly breaks. Find the change in the temperature of the string. Take heat capacity of string as Q and Young’s modulus as Y. from Physics Mechanical Properties of Solids Class 11 Manipur Board

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A load W is hanging from the string of length $\mathcal{l}$ and area of cross section A. The string suddenly breaks. Find the change in the temperature of the string. Take heat capacity of string as Q and Young’s modulus as Y.

Length of the string =$\mathcal{l}$
Heat capacity of the string = Q
Young's modulus = Y

The potential energy stored in the loaded string is,

When the string breaks, the potential energy stored in the string is converted into heat.

Let θ be the rise in temperature.
Therefore,

is the required change in temperature of the string.
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