Which of the following materials is likely to have the highest Young's modulus?

A steel cable with a Young's modulus of $2 imes 10^{11} \, N m^{-2}$ experiences a stress of $4 imes 10^8 \, N m^{-2}$. If the cable elongates by 4 mm, what was the original length of the cable?

Two wires of equal cross-section but one made of steel and the other of copper are joined end to end. When the combination is kept under tension, the elongations in the two wires are found to be equal. What is the ratio of the lengths of the two wires? (Given : steel = $2\,\, imes \,\,{10^{11}}\,{\rm{N}}{{\rm{m}}^{ - 2}})$

The length of a metal wire is $10\,cm$ when the tension in it is $20N$ and $12cm$. When the tension is $40N$. The natural length of the wire in $cm$ is

The elastic limit of a certain material is half its Young's modulus. A wire made of this material, initially 0.5 m long, is stretched to its elastic limit. What is the elongation of the wire?

Which of the following substances has the highest elasticity?

When a wire of length $10\,\,m$ is subjected to a force of $100\,\,N$ along its length, the lateral strain produced is $0.01 imes {10^{ - 3}}m$. The Poisson’s ratio was found to be $0.4$. If the area of cross-section of wire is $0.025\,\,{{\rm{m}}^2}$, its Young’s modulus is

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

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

When the tension in a metal wire is ${T_1},{\rm{its}}\,\,{\rm{length}}\,\,{\rm{is}}{\mkern 1mu} {\mkern 1mu} \,\,{l_1}$. When the tension is ${T_2}$ its length is ${l_2}$. The natural length of wire is

If a force $F$ is applied to a wire of length $L$ and cross-sectional area $A$, causing it to stretch by $\Delta L$, which of the following expressions correctly represents the strain experienced by the wire?