NEET Physics Mechanical Properties Of Solids MCQs

A rubber cord $10m$ long is suspended vertically. How much does it stretch under its own weight (Density of rubber is $1500\;kg/{m^3},Y = 5 imes {10^8}N/{m^2},g = 10\;m/{s^2})$

A rubber rope of length $8\,\,m$ is hung from the ceiling of a room. What is the increase in length of the rope due to its own weight ? (Given Young’s modulus of elasticity of rubber = $5 imes \,{10^6}\,{\rm{N}}{{\rm{m}}^{ - 2}}$ and density of rubber = $1.5\,\, imes {10^6}\,\,{\rm{kg}}{{\rm{m}}^{ - 3}}$. Take g = ${\rm{10}}\,\,{\rm{m}}{{\rm{s}}^{ - 2}})$

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 ?

Two exactly similar wires of steel and copper are stretched by equal forces. If the difference in their elongations is $0.5\,\,cm$, the elongation $\left( l \right)$ of each wire is ${Y_s}\left( {{\rm{steel}}} \right) = 2.0 imes {10^{11}}N/{m^2}$, ${Y_c}\left( {{\rm{copper}}} \right) = 1.2 imes {10^{11}}N/{m^2}$

A wire of natural length $l$, Young’s modulus Y and area of cross-section A is extended by $x$. Then the energy stored in the wire is given by

A wire of natural length $l$, Young’s modulus Y and area of cross-section A is extended by $x$. Then the energy stored in the wire is given by

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

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

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

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