$A$ wire is suspended by one end. At the other end,a weight equivalent to $20 \ N$ force is applied. If the increase in length is $1.0 \ mm$,the increase in energy of the wire will be ....... $J$.

Which of the following is true for elastic potential energy density?

$A$ metal rod has length,cross-sectional area,and Young's modulus as $L$,$A$,and $Y$ respectively. If the elongation produced in the rod is $\ell$,then the work done is proportional to:

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

When a small mass $m$ is suspended at the lower end of an elastic wire having its upper end fixed to a ceiling,there is a loss in gravitational potential energy,let it be $x$,due to the extension of the wire. Mark the correct option.

Calculate the work done, if a wire is loaded by $Mg$ weight and the increase in length is $l$.