NEET Physics Mechanical Properties Of Solids Youngs Modules MCQs

The Young's modulus of a material is $2 imes 10^{11} \, Pa$. A wire of this material with a cross-sectional area of $1 \, mm^2$ and length $1 \, m$ is stretched by $1 \, mm$. What is the force applied to the wire?

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

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 wire made of two materials A and B, having equal lengths and equal radii, is subjected to a longitudinal stress. If Young's moduli of materials A and B are $Y_A$ and $Y_B$ respectively, the equivalent Young’s modulus of the composite wire is:

A uniform wire of length $L$ and Young's modulus $Y$ is stretched by a force $F$. If the volume remains constant, the Poisson's ratio is:

A metal wire of length $L$ and radius $r$ is fixed at one end. A force $F$ is applied to the other end, twisting it through an angle $heta$. If the modulus of rigidity of the material is $\eta$, the work done in twisting the wire 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 steel wire of length $L$ and cross-sectional area $A$ is suspended vertically. When a mass $M$ is attached to its free end, the wire stretches by $\Delta L$. The Young's modulus of the steel is:

A metal rod of length $2L$ and cross-sectional area $A/2$ experiences an elongation of $2\Delta L$ when subjected to a tensile force $F$. What is the Young's modulus of the metal?