D. C. Pandey Solutions for Chapter: Elasticity, Exercise 1: Objective Problems

A $0.1 \mathrm{kg}$ mass is suspended from a wire of negligible mass. The length of the wire is $1 \mathrm{m}$ and its cross-sectional area is $4.9\times {10}^{-7} {\mathrm{m}}^2$. If the mass is pulled a little in the vertically downward direction and released, it performs a simple harmonic motion of angular frequency $140 \mathrm{rad} {\mathrm{s}}^{-1}$. If Young's modulus of the material of the wire is $n\times {10}^9 \mathrm{N} {\mathrm{m}}^{-2}$, the value of $n$ is

Two wires are made of the same material and have the same volume. However, wire $1$ has cross-sectional area $A$ and wire $2$ has cross-sectional area $3 \mathrm{A}$. If the length of the wire $1$ increases by $\mathrm{\Delta }x$ on applying force $F$, how much force is needed to stretch wire $2$ by the same amount?

Which of the following substances has the highest elasticity?

There is no change in the volume of a wire due to the change in its length on stretching. The Poisson's ratio of the material of the wire is

The increase in pressure required to decrease the $200 \mathrm{L}$ volume of a liquid by $0.008 \mathrm{L}$ in $\mathrm{kPa}$ is (bulk modulus of the liquid $=2100 \mathrm{MPa}$)

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?

Which of the following relations is true?

For a given material, the Young's modulus is $2.4$ times that of the rigidity modulus. Its Poisson's ratio is