Young's modulus is a measure of a material's:

A coil spring made of material X stretches by 2 cm when a force of 10 N is applied. Another spring of identical dimensions, made of material Y, stretches by 1 cm under the same force. Which material has a higher shear modulus?

A wire of length ${\rm{L}}$, area of cross section ${\rm{A}}$ is hanging from a fixed support. The length of the wire changes to ${{\rm{L}}_{\rm{1}}}$ when mass ${\rm{M}}$ is suspended from its free end. The expression for Young’s modulus is:

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 = ${\rm{10}}\,\,{\rm{m}}{{\rm{s}}^{ - 2}})$

Two steel wires have equal volumes, their diameters are in the ratio $2:1$. When same force is applied on them, the elongation produced will be in the ratio of

A rod is fixed between two points at ${20^0}C$. The coefficient of linear expansion of material of rod is $1.1\,\, imes {10^{ - 5}}{/^0}C$ and Young’s modulus is $1.2\,\, imes {10^{11}}N/{m^2}$. Find the stress developed in the rod if temperature of rod becomes ${10^0}C$

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

A metal wire of length $L$ and radius $r$ is fixed at one end. A force $F$ is applied to the other end, twisting it through an angle $heta$. If the modulus of rigidity of the material is $\eta$, the work done in twisting the wire is:

A wire elongates by $l$ $mm$ when a load $W$ is hanged from it. If the wire goes over a pulley and two weights $W$ each are hung at the two ends, the elongation of the wire will be (in $mm$)

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?

A wire of length $L$ and area of cross-section $A$ is stretched through a certain length $l$. If $Y$ is Young’s modulus of the material of the wire, then the force constant of the wire is