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

A metallic rod of Young's modulus $1 imes 10^{11} \mathrm{N} \mathrm{m}^{-2}$ and coefficient of linear thermal expansion 2 imes 10^{-5} \, ^{\circ}C^{-1}, length $2 \mathrm{m}$ and area of cross-section $2 imes 10^{-3} \mathrm{m}^2$ is heated from $0^{\circ} \mathrm{C}$ to $50^{\circ} \mathrm{C}$ without expansion or bending. The compressive force developed in it is:

Two rods made of the same material have the same volume. The first rod has cross-sectional area $2A$ and the second rod has cross-sectional area $6A$. If the first rod is stretched by $\Delta x$ by applying a force $F$, what force is required to stretch the second rod by the same amount?

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

Find the extension produced in a copper of length ${\rm{2}}\,\,{\rm{m}}$ and diameter ${\rm{3}}\,\,{\rm{mm}}$, when a force of ${\rm{30}}\,\,{\rm{N}}$ is applied. Young’s modulus for copper $= 1.1\,\, imes {10^{11}}\,\,{\rm{N}}{{\rm{m}}^{ - 2}}$

A weight of $200\,\,kg$ is suspended by vertical wire of length $600.5\,\,cm$. The area of cross-section of wire is $1\,\,m{m^2}$. When the load is removed, the wire contracts by $0.5\,\,cm$. The Young’s modulus of the material of wire will be

Young’s modulus of a steel $2.15 imes {10^{11}}N/{m^2}$ and inter-atomic distance $3{A^0}$, the inter atomic force constant is.

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

One end of steel wire is fixed to ceiling of an elevator moving up with an acceleration ${\rm{2}}\,\,{\rm{m}}{{\rm{s}}^{ - 2}}$ and a load of ${\rm{10}}$ kg hangs from other end. Area of cross-section of the wire is $2\,\,{\rm{c}}{{\rm{m}}^2}$. The longitudinal strain in the wire is (Take g$= 10\,\,{\rm{m}}{{\rm{s}}^{ - 2}}\,\,{\rm{and}}\,{\rm{ Y}} = 2\,\, imes {10^{11}}\,{\rm{N}}{{\rm{m}}^{ - 2}})$

The length of a wire is increased by $1\,\,mm$ on the application of a given load. In a wire of the same material, but of length and radius twice that of the first, on the application of the same load, extension is

Which of the following properties is most crucial for determining the stretching of a spring?