A wire of length $L$ and cross-sectional area $A$ is made of a material of Young's modulus $Y.$ It is stretched by an amount $x$. The work done is
$\frac{{YxA}}{{2L}}$
$\frac{{Y{x^2}A}}{L}$
$\frac{{Y{x^2}A}}{{2L}}$
$\frac{{2Y{x^2}A}}{L}$
When shearing force is applied on a body, then the elastic potential energy is stored in it. On removing the force, this energy
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 ....... $J/m^3$
A metal wire of length $'L'$ is suspended vertically from a rigid support. When a body of mass $M$ is attached to the lower end of wire, the elongation in wire is $'l'$, consider the following statements
$(I)$ the loss of gravitational potential energy of mass $M$ is $Mgl$
$(II)$ the elastic potential energy stored in the wire is $Mgl$
$(III)$ the elastic potential energy stored in wire is $\frac{1}{2}\, Mg l$
$(IV)$ heat produced is $\frac{1}{2}\, Mg l$
Correct statement are :-
When strain is produced in a body within elastic limit, its internal energy
A suspended long metal wire is stretched a small distance $x$ by a load $W$ in newton suspended at the other end. Select the best answer out of the following