Elasticity

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 materi...

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, w...

Select the correct statement from the following:

A wire of negligible mass having uniform area of cross section ' A ' and young modulus ' Y ' is used to suspend a point mass ' m '. The point mass executes simple harmonic motion in a vertical plane with a period ' T ', then the length of t...

One end of a nylon rope of length 1 and diameter 10 mm is fixed to free limb. A monkey weighing 100 N jumps to catch the free end and stays there. The change in diameter of the rope is (Young's modulus of the wire is Y and Poisson Ratio is ...

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

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

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{...

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

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...

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

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 i...

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

Within the elastic limit, the corresponding stress is known as

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 r...

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