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A metal wire of length l and cross-secti...

A metal wire of length `l` and cross-sectional area A has mass m. It is stretched by an amount .e. by a load of mass M. If the wire breaks at the point of suspension due to the load then find the rise in temperature of the wire?

Text Solution

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Strain energy `=(1)/(2) F.e =(1)/(2) (Mg) e`
As the wire breaks strain energy stored in the wire appears in the form of heat.
`therefore (1)/(2) (Mg)e=ms Deltat` [s = specific heat of wire]
`Deltat=((Mg)e)/(2ms)`
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