Embibe Experts Solutions for Chapter: Elasticity, Exercise 3: Exercise - 3

One end of a horizontal thick copper wire of length $2L$ and radius $2R$ is welded to an end of another horizontal thin copper wire of length $L$ and radius $R$. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

In plotting stress versus strain curves for the materials $P$ and $Q$, a student by mistake puts strain on the y-axis and stress on the $x-$axis as shown in the figure. Then the correct statement(s) is(are)

A wire elongates by $l \mathrm{mm}$ when a load $W$ is hanged from it. If the wire goes over a pulley and two weights $W$ each are hung at the two ends, the elongation of the wire will be (in $\mathrm{mm}$)

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 pressure that has to be applied to the ends of a steel wire of length $10 \mathrm{cm}$ to keep its length constant when its temperature is raised by $100°\mathrm{C}$ is : (For steel Young’s modulus is $2\times {10}^{11} \mathrm{N} {\mathrm{m}}^{-2}$ and coefficient of thermal expansion is $1.1\times {10}^5 {\mathrm{K}}^{-1}$.)