Elasticity

The following four wires of length $L$ and radius $r$ are made of the same material. Which of these will have the largest extension, when the same tension is applied?

The average depth of Indian ocean is about 3000 m . The fractional compression, $\frac{\Delta V}{V}$ of water at the bottom of the ocean (given, that the Bulk modulus of the water $=2.2 \times 10^9 \mathrm{Nm} { }^{-2}$ and $g=10 \mathrm{~m...

The elastic limit of \(1 \mathrm{~kg}\) mass is \(3.5 \times 10^{10} \mathrm{~N} / \mathrm{m}^2\). Find the maximum load that can be applied to a brass wire of a \(1 \mathrm{~mm}\) diameter without exceeding the elastic unit.

The upper end of a wire of diameter \(24 \mathrm{~mm}\) and length \(1 \mathrm{~m}\) is damped and its other end is twisted through an angle is \(30^{\circ}\). The angle of shear is

A wire of cross-section \(A\) is stretched horizontally between two clamps located \(2 l\) metre apart. A weight \(w \mathrm{~kg}\) is suspended from the mid-point of the wire. If the mid-point sags vertically through a distance \(x<1\), th...

The Young's modulus of a rope of \(10 \mathrm{~m}\) length and having diameter of \(2 \mathrm{~cm}\) is \(200 \times 10^{11} \mathrm{~dyne} / \mathrm{cm}^2\). If the elongation produced in the rope is \(1 \mathrm{~cm}\), the force applied o...