NEET Physics Mechanical Properties Of Solids MCQs

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?

A steel wire of length 1 m is stretched until it reaches its elastic limit of $8 imes 10^8 \, N m^{-2}$. If the Young's modulus of steel is $2 imes 10^{11} \, N m^{-2}$, what is the strain experienced by the wire?

Two wires of the same material and same mass are stretched by the same force. Their lengths are in the ratio 2 : 3. Then their elongations are in the ratio

A steel rail of length 5 m and area of cross-section $40{\rm{ }}c{m^3}$ is prevented from expanding along its length while the temperature rises by ${10^0}C$. If coefficient of linear expansion and Young’s modulus of steel are $1.2{\rm{ }} imes \,\,{10^{ - 5}}{K^{ - 1}}$ and $2{\rm{ }} imes {\rm{ }}{10^{11}}N{m^{ - 2}}$ respectively, the force developed in the rail is approximately :

The force required to stretch a steel wire of cross section $4{\rm{ }}c{m^2}$ to 1.02 times its length would be $\left( {Y = {\rm{ }}2{\rm{ }} imes {\rm{ }}{{10}^{11}}N{\rm{ }}{m^{ - 2}}} \right)$

A wire can be broken by a load of 20 kg-wt. The force required to break wire of same material with twice the diameter will be

A bob of mass 10 kg is attached to wire 0.3 m long. Its breaking stress is $4.8 imes {10^7}N/{m^2}$. The area of cross section of the wire is ${10^{ - 6}}{m^2}$. The maximum angular velocity with which it can be rotated in a horizontal circle

Steel and copper wires of same length are stretched by the same weight one after the other. Young’s modulus of steel and copper are $2 imes {10^{11}}N/{m^2}\,and\,1.2 imes {10^{11}}N/{m^2}$ . The ratio of increase in length

Four wires of the same material are stretched by the same load. Which one of them will elongate most if their dimensions are as follows

If a bar is made of copper whose coefficient of linear expansion is one and a half times that of iron, the ratio of the force developed in the copper bar to the iron bar of identical lengths and cross-sections, when heated through the same temperature range (Young’s modulus for copper may be taken equal to that of iron) is