A load W is hanging from the string of length 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 =
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.
is the required change in temperature of the string.