The unit of Young's modulus is:

The unit of Young's modulus is:

A steel wire and a brass wire, both of length L and cross-sectional area A, are subjected to tensile stresses $\sigma_s$ and $\sigma_b$ respectively, such that they experience the same elongation. If the Young's modulus of steel is 1.5 times that of brass, what is the ratio of $\sigma_s$ to $\sigma_b$?

A wire is stretched to double its length. What will be its new Young's Modulus?

Thermal stress, If developed in a solid on heating is given by

A steel rod with $y = 2.0 imes {10^{11}}N{m^{ - 2}}$ and $\alpha = {10^5}{C^{ - 1}}$ of length and area of cross-section $10\,c{m^2}$ is heated from ${0^0}C$ to ${400^0}C$ without being allowed to extend. The tension produced in the rod is $X imes {10^5}N$, where the value of $x$ is

Two wires of length $l$, radius $r$ and length $2l$, radius $2r$ respectively having some Young’s modulus are hung with a weight $m{\rm{g}}$. Net elongation is

The force required to stretch a steel wire of ${\rm{1}}\,\,{\rm{c}}{{\rm{m}}^2}$ cross-section to 1.1 times its length would be $\left( {Y = 2\,\, imes {{10}^{11}}\,{\rm{N}}{{\rm{m}}^{ - 2}}} \right)\,$

A railway track is made of steel with a Young's modulus of $2 imes 10^{11} \mathrm{N} \mathrm{m}^{-2}$ and a coefficient of linear thermal expansion of 1.2 imes 10^{-5} \, ^{\circ}C^{-1}. On a hot day, the temperature rises by $30^{\circ}C$. If a $10 \mathrm{m}$ section of the track is prevented from expanding, what is the compressive force developed in that section? Assume the cross-sectional area of the track is $5 imes 10^{-3} \mathrm{m^2}$.

A wire extends by ${\rm{1 mm}}$ when a force is applied. Double the force is applied to another wire of same material and length but half the radius of cross-section. The elongation of the wire in mm will be

The Young's modulus of a material is $2 imes 10^{11} \, Pa$. A wire of this material with a cross-sectional area of $1 \, mm^2$ and length $1 \, m$ is stretched by $1 \, mm$. What is the force applied to the wire?