A wire fixed at the upper end stretches by length $l$ by applying a force $F$. The work done in stretching is
$\frac{F}{{2l}}$
$Fl$
$2Fl$
$\frac{{Fl}}{2}$
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 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 ratio of the increase in energy of the wire to the decrease in gravitational potential energy when load moves downwards by $1\, mm,$ will be
Two wires of the same material (Young's modulus $Y$ ) and same length $L$ but radii $R$ and $2R$ respectively are joined end to end and a weight $W$ is suspended from the combination as shown in the figure. The elastic potential energy in the system is
Which of the following is true for elastic potential energy density
On stretching a wire, the elastic energy stored per unit volume is