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  4. The Young’s modulus of a metal is 2×1012 dyne/cm2 and its breaking stress is 11000 kg/cm2. In case of longitudinal strain the maximum energy that can be stored per cubic metre of this metal is approximately (Assume g = 10 m/s2)

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Q. The Young’s modulus of a metal is $2\times10^{12}$ dyne/cm$^2$ and its breaking stress is 11000 kg/cm$^2$. In case of longitudinal strain the maximum energy that can be stored per cubic metre of this metal is approximately (Assume g = 10 m/s$^2$)

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Solution:

$Energy\,\,\ density, \frac{dU}{dV} =\frac{\left(stress\right)^{2}}{2Y}$
$Where\,\, stress =\frac{11000g}{10^{-4}}N/ m^{2}$