NEET Physics Mechanical Properties Of Solids MCQs

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:

A wire of length L and cross-sectional area A is stretched by a force F. If the Young's modulus of the material is Y, which of the following expressions correctly represents the strain energy stored in the wire?

A metal wire of Young's modulus $2 imes 10^{11} \, N/m^2$ undergoes a strain of $10^{-3}$. What is the energy stored per unit volume in the wire?

A wire of length $L$ and cross-sectional area $A$ is subjected to a tensile stress $\sigma$. If the Poisson's ratio of the material is $

u$and Young's modulus is$Y$, the elastic potential energy stored per unit volume is:

Two wires of the same material and length but different radii $r_1$ and $r_2$ are subjected to the same tensile force. If the extensions produced are $\Delta l_1$ and $\Delta l_2$ respectively, the ratio $\frac{\Delta l_1}{\Delta l_2}$ is:

A composite rod consists of two segments of equal length $L$ joined end-to-end. The first segment is made of material A with Young's modulus $Y_A$ and cross-sectional area $A$. The second segment is made of material B with Young's modulus $Y_B = 2Y_A$ and cross-sectional area $2A$. One end of the composite rod is fixed, and the other end is subjected to a tensile force $F$. If the elongation of the composite rod is $\Delta L$, what would be the elongation of a rod of length $2L$, cross-sectional area $A$, and Young's modulus $Y_A$ under the same tensile force $F$?

A wire of length L and cross-sectional area A is subjected to a tensile stress $\sigma$. If its Young's modulus is Y, the elastic potential energy stored in the wire is:

The bulk modulus of a material is $10^{11} N/m^2$. What fractional change in volume does a piece of this material undergo when subjected to a bulk stress increase of $10^7 N/m^2$?

A solid sphere of radius R and bulk modulus B is immersed in a fluid and subjected to a uniform pressure P. The change in its radius $\Delta R$ is:

Rigidity modulus is defined as the ratio of: