Embibe Experts Solutions for Chapter: Elasticity, Exercise 6: Exercise (Analytical Questions)

In determining Young’s modulus of elasticity of wire, a force is applied and extension is recorded. Initial length of wire is $1 \mathrm{m}$. The curve between extension and stress is depicted. Then, Young’s modulus of wire will be,

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 $3A$. If the length of wire$1$ increases by $∆x$ on applying force $F$, how much force is needed to stretch wire$2$ by the same amount?

The bulk modulus of a metal is ${10}^{10}N/m^2$ and Poisson's ratio $0.20$. If average distance between the molecules is $3 \stackrel{°}{\mathrm{A}}$ then the interatomic force constant:

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