Exercise-2

An elastic material of Young's modulus $Y$ is subjected to a stress $S.$ The elastic energy stored per unit volume of the material is

The relation between $\gamma ,\eta$ and $\mathrm{K}$ for a elastic material is

When a force is applied on a wire of uniform cross-sectional area $3\times {10}^{-6}{ \mathrm{m}}^2$ and length $4 \mathrm{m}$, the increase in length is $1 \mathrm{mm}$. Energy stored in it will be $\left(\mathrm{Y}=2\times {10}^{11} \mathrm{N}/{\mathrm{m}}^2\right)$

A steel wire of $1 \mathrm{m}$ long and $1{ \mathrm{mm}}^2$ cross section area is hang from rigid support. When weight of $1 \mathrm{kg}$ is hung from it then change in length will be (given $Y=2\times {10}^{11} \mathrm{N} {\mathrm{m}}^{-2}$)

When a load of $5 \mathrm{kg}$ is hung on a wire then extension of $3$ meter takes place, then work done will be :

When a load of $5 \mathrm{kg}$ is hung on a wire then extension of $3$ metre takes place, then work done will be:

A $1 \mathrm{m}$ long metal wire of cross sectional area ${10}^{-6}{ \mathrm{m}}^2$ is fixed at one end from a rigid support and a weight $W$ is hanging at its other end. The graph shows the observed extension of length $\Delta \ell$ of the wire as a function of $W$. Young's modulus of material of the wire in $\mathrm{SI}$ units is

A catapult's string made of rubber having cross section area $25{ \mathrm{mm}}^2$ and length $10 \mathrm{cm}$. To throw a $5 \mathrm{gm}$ pabble it is stretched up to $5 \mathrm{cm}$ and released. Velocity of projected pabble is $($Young coefficient of elasticity of rubber is $\left.5\times {10}^8 \mathrm{N} {\mathrm{m}}^{-2}\right)$ :