Elasticity - Mechanics - Physics Previous Year Questions

The Poisson's ratio of a material is 0.1. If the longitudinal strain of a rod of this material is \(10^{-3}\), then the percentage change in the volume of the rod will be

A steel wire of length 4.7 m and cross-sectional area \(3.0\times10^{-5}\) m\(^2\) stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of \(4.0\times10^{-5}~\mathrm{m^2}\) under a given load. What is the ratio of Young's modulus of steel to that of copper?

A wire is stretched to double of its length. The strain is

Within the elastic limit, the corresponding stress is known as

A copper and a steel wire of same diameter are connected end to end. A deforming force F\(_1\) is applied to the wire which causes an elongation of 1 cm. The two wires will have

A force F applied on the wire of radius r and length L and change in the length of the wire is \(l\). If the same force F is applied on the wire of the same material and radius 4r and length \(4l\), then change in length of the other wire is,

A man grows into a giant such that his height increases to 8 times his original height. Assuming that his density remains same, the stress in the leg will change by a factor of

A spring of force constant \(k\) is cut into lengths of ratio \(1:3:4\). They are connected in series and the new force constant is \(\mathrm{k}\)'. Then they are connected in parallel and force constant is \(\mathrm{k}\)''. Then \(\mathrm{k}^{\prime}: \mathrm{k}^{\prime \prime}\) is

The temperature of a wire is doubled. The Young's modulus of elasticity

If the ratio of lengths, radii and Young's Moduli of steel and brass wires in the figure are \(\mathrm{a}, \mathrm{b}\) and \(\mathrm{c}\) respectively, then the corresponding ratio of increase in their lengths would be

Two wire of same material having radius in ratio 2 : 1 and lengths in ratio 1: 2. If same force is applied on them, then ratio of their change in length will be

Two wires are made of the same material and have the same volume. The first wire has cross-sectional area \(A\) and the second wire has cross-sectional area \(3 A\). If the length of the first wire is increased by \(\Delta l\) on applying a force \(F\), how much force is needed to stretch the second wire by the same amount?

A light rod of length 1 m is suspended from ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of material $X$ and is of cross-section $0.1 \mathrm{~cm}^2$. and the other of material Y of cross-section $0.3 \mathrm{~cm}^2 . \mathrm{A}$ weight is hung from the wire at a point to produce equal strain in the wires. The ratio of Young's moduli of wires A to B is $3: 1$. The location of the point from one end of the wire is

A wire, made of a certain material of length-l and area of cross section-a can withstand a maximum load $=\mathrm{W}$ without breaking. If, another wire of the same material and crosssectional area is used with double the original length, what will be the maximum load that the wire can withstand, without breaking?