Which of the following materials generally has the highest Young's modulus?

A metal wire of Young's modulus $2 imes 10^{11} \, N/m^2$ undergoes a strain of $10^{-3}$. What is the energy stored per unit volume in the wire?

The Young’s modulus of a rubber string $8\,\,cm$ long and density $1.5\,\,kg/{m^3}$ is $5\,\, imes {10^8}\,N/{m^2}$, is suspended on the ceiling in a room. The increase in length due to its own weight will be

A rubber rope of length $8\,\,m$ is hung from the ceiling of a room. What is the increase in length of the rope due to its own weight ? (Given Young’s modulus of elasticity of rubber = $5 imes \,{10^6}\,{\rm{N}}{{\rm{m}}^{ - 2}}$ and density of rubber = $1.5\,\, imes {10^6}\,\,{\rm{kg}}{{\rm{m}}^{ - 3}}$. Take g = ${\rm{10}}\,\,{\rm{m}}{{\rm{s}}^{ - 2}})$

A substance breaks down by a stress of ${10^6}\,\,{\rm{N}}{{\rm{m}}^{ - 2}}$. If the density of the material of the wire is $3 imes {10^3}\,\,{\rm{kg}}{{\rm{m}}^{ - 3}}$, then the length of the wire of that substance which will break under its own weight when suspended vertically is nearly

A thick rope of rubber of density $1.5 imes {10^3}{\mkern 1mu} \,{\rm{kg}}{{\rm{m}}^{ - 3}}$ and Young’s modulus $5{\mkern 1mu} {\mkern 1mu} imes {10^6}\,{\mkern 1mu} {\rm{N}}{{\rm{m}}^{ - 2}}$, ${\rm{8}}{\mkern 1mu} {\mkern 1mu} \,{\rm{m}}$ in length is hung from the ceiling of a room, the increase in $\phi$ its length due to its own weight is

A copper rod of length $L$ and radius $r$ is suspended from the ceiling by one of its ends. What will be elongation of the rod due to its own weight when $\rho \,\,{\rm{and}}\,Y$ are the density and Young’s modulus of the copper respectively?

Two wires of the same material and length are stretched by the same force. Their masses are in the ratio ${\rm{3:2}}$. Their elongations are in the ratio