The Young's modulus of a wire is $y$. If the energy per unit volume is $E$, then the strain will be

  • A

    $\sqrt {\frac{{2E}}{y}} $

  • B

    $E\sqrt {2y} $

  • C

    $Ey$

  • D

    $\frac{E}{y}$

Similar Questions

If in case $A$, elongation in wire of length $L$ is $l$, then for same wire elongation in case $B$ will be ......

In the Young’s experiment, If length of wire and radius both are doubled then the value of $Y$ will become

The area of a cross-section of steel wire is $0.1\,\,cm^2$ and Young's modulus of steel is $2\,\times \,10^{11}\,\,N\,\,m^{-2}.$  The force required to stretch by $0.1\%$ of its length is ......... $N$.

A copper wire of length $4.0m$ and area of cross-section $1.2\,c{m^2}$ is stretched with a force of $4.8 \times {10^3}$ $N.$ If Young’s modulus for copper is $1.2 \times {10^{11}}\,N/{m^2},$ the increase in the length of the wire will be

Under the same load, wire $A$ having length $5.0\,m$ and cross section $2.5 \times 10^{-5}\,m ^2$ stretches uniformly by the same amount as another wire $B$ of length $6.0\,m$ and a cross section of $3.0 \times 10^{-5}\,m ^2$ stretches. The ratio of the Young's modulus of wire $A$ to that of wire $B$ will be

  • [JEE MAIN 2023]