A wire of length L and cross-sectional area A is stretched by a force F. If Young's modulus of the material of the wire is Y, the elongation produced in the wire is:

A steel wire of length ${\rm{20}}\,\,{\rm{cm}}$ and uniform cross-section ${\rm{1}}\,\,{\rm{m}}{{\rm{m}}^2}$ is tied rigidly at both the ends. The temperature of the wire is altered from ${40^0}C\,\,{\rm{to}}\,\,{20^0}C$. Coefficient of linear expansion of steel is $\alpha = 1.1 imes {10^{ - 5}}^0{C^{ - 1}}$ and $Y$ for steel is $2.0\,\, imes {10^{11}}\,{\rm{N}}{{\rm{m}}^{ - 2}}$; the tension in the wire is

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 $A$ and $B$ of same length, same area of cross-section having the same Young’s modulus are heated to the same range of temperature. If the coefficient of linear expansion of $A$ is $3/2$ times of that of wire $B$. The ratio of the forces produced in two wires will be

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 ${10^0}C$

What should be the lengths of a steel and copper rod at 0$^ \circ C$  so that the length of the steel rod is 5 cm longer than the copper rod at any temperature?$\alpha$ (Steel) = 1.1$imes {10^{ - 5}}^ \circ {C^{ - 1}}$ $\alpha ($Copper)= $1.7 imes {10^{ - 5}}^ \circ {C^{ - 1}}$ 

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