The elastic behaviour of material for linear streass and linear strain, is shown in the figure. The energy density for a linear strain of $5 \times 10^{-4}$ is $\dots \; kJ / m ^{3}$. Assume that material is elastic upto the linear strain of $5 \times 10^{-4}$.

Two wires of same diameter of the same material having the length $l$ and $2l.$ If the force $  F$ is applied on each, the ratio of the work done in the two wires will be

 A uniform metal rod of  $2\,\,mm^2$ cross section fixed between two walls is heated from $0\,^oC$ to $20\,^oC$ . The coefficient of linear expansion of rod is $12\,\,\times\,\,10^{-6}\,/^oC$ . Its Young's modulus of elasticity is $10^{11}\,\,N/m^2$ . The energy stored per unit volume of rod will be  ....... $J/m^3$

The work done in stretching an elastic wire per unit volume is 

When shearing force is applied on a body, then the elastic potential energy is stored in it. On removing the force, this energy

Determine the elastic potential energy stored in stretched wire.