Energy stored per unit volume in a stretched wire having Young's modulus $Y$ and stress $S$ is ...........

The elastic potential energy stored in a copper rod of length $1 \,m$ and area of cross-section $1 \,mm^2$ when stretched by $1 \,mm$ is (Young's modulus of copper $= 1.2 \times 10^{11} \,N/m^2$).

If the force constant of a wire is $K$,the work done in increasing the length of the wire by $l$ is

$A$ wire fixed at the upper end stretches by length $l$ by applying a force $F$. The work done in stretching is

$A$ block of mass $M$ is suspended from a wire of length $L$,area of cross-section $A$ and Young's modulus $Y$. The elastic potential energy stored in the wire is

Work done by the restoring force in a string within the elastic limit is $-10 \, J$. The maximum amount of heat produced in the string is .......... $J$.