NEET Physics Mechanical Properties Of Solids MCQs

If the length of a wire is doubled and its radius is halved, keeping the force constant, how does the elongation change?

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?

Two wires of the same material and length have radii $r_1$ and $r_2$ respectively. If the same force is applied to both, what is the ratio of the extensions produced?

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?

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 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: