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:

Which of the following statements is correct

Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R)

Assertion (A) : The stretching of a coil spring is determined by the shear modulus of the material of the spring.

Reason (R) : A coil spring of copper has more tensile strength than a steel spring of same dimensions.

In the light of the above statements, choose the most appropriate answer from the options given below :

Two wires of the same material and length but different cross-sectional areas A1 and A2 (A1 > A2) are subjected to the same tensile force. Which wire will experience a greater elongation?

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

When a weight of $5\,\,kg$ is suspended from a copper wire of length $30\,\,m$ and diameter $0.5\,\,mm$, the length of the wire increases by $2.4\,\,cm$. If the diameter is doubled, the extension produced is

A particular force ($F$) applied on a wire increases its length by $2 imes {10^{ - 3}}\,{\rm{m}}$. To increase the wire’s length by $4 imes {10^{ - 3}}{\rm{m}}$ the applied force will be

An elastic material of Young’s modulus $Y$ is subjected to a stress $S$. The elastic energy stored per unit volume of the material is

To break a wire of one metre length, minimum $40\;kg\;wt$, is required. Then the wire of the same material of double radius and 6 m length will require breaking weight

A wire is stretched $1{\rm{ }}mm$ by a force of $1{\rm{ }}k{\rm{ }}N$. How far would a wire of the same material and length but of four times that diameter be stretched by the same force ?

If the compressibility of water is $\sigma$ per unit atmospheric pressure, then the decrease in volume ($V$)  due to p, atmospheric pressure will be :