NEET Physics Mechanical Properties Of Solids MCQs

A metal wire of Young's modulus $2 imes 10^{11} \, N/m^2$ undergoes a strain of $10^{-3}$. What is the energy stored per unit volume in the wire?

Strain energy density is defined as:

The strain energy per unit volume of a stretched wire is given by:

Two wires of the same material and length but different cross-sectional areas $A_1$ and $A_2$ ($A_1 > A_2$) are stretched by the same force. Which wire will have greater strain energy density?

A wire of Young’s modulus $1.5 imes {10^{12}}\;{\rm{N}}{{\rm{m}}^{ - 2}}$ is stretched by a force so as to produce a strain of $2 imes {10^4}.$ The energy stored per unit volume is

If $x$ longitudinal strain is produced in a wire of Young’s modulus $y$, then energy stored in the material of the wire per unit volume is

If $x$ longitudinal strain is produced in a wire of Young’s modulus $y$, then energy stored in the material of the wire per unit volume is

If in a wire of Young’s modulus $Y$, longitudinal strain $X$ is produced then the potential energy stored in its unit volume will be

The energy stored per unit volume in copper wire, which produces longitudinal strain of ${\rm{0}}{\rm{.1}}\,\,{\rm{\% }}$ is $\left( {Y = 1.1 imes {{10}^{11}}\,{\rm{N}}{{\rm{m}}^{ - 2}}} \right)$

If '$S$' is stress and '$y$ is young’s modulus of material of wire, the energy stored in the wire per unit volume is