If $x$ longitudinal strain is produced in a wire of Young's modulus $y,$ then energy stored in the material of the wire per unit volume is

  • [AIIMS 2001]
  • A

    $y{x^2}$

  • B

    $2\,y{x^2}$

  • C

    $\frac{1}{2}{y^2}x$

  • D

    $\frac{1}{2}y{x^2}$

Similar Questions

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

Does the energy stored in a spring changes when it stretched or compressed ?

$K$ is the force constant of a spring. The work done in increasing its extension from ${l_1}$ to ${l_2}$ will be

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

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