Which of the following is true for elastic potential energy density
Energy density $=$ $\frac{1}{2} \times {\rm{strain}} \times {\rm{stress}}$
Energy density $=$ ${{\rm{(strain)}}^2} \times {\rm{volume}}$
Energy density $=$ $strain$ $\times$ $volume$
Energy density $=$ $stress$ $\times$ $volume$
The elastic energy stored in a wire of Young's modulus $Y$ is
The ratio of Young's modulus of the material of two wires is $2 : 3.$ If the same stress is applied on both, then the ratio of elastic energy per unit volume will be
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
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
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 ....... $J/m^3$