Elasticity PYQs - Last 10 Years

A spring has length L and force constant K . It is cut into two springs of length $L_1$ and $L_2$ such that $\mathrm{L}_1=\mathrm{NL}_2$ ( N is an integer). The force constant of spring of length $L_1$ is

The compressibility of water is $5 \times 10^{-10} \mathrm{~m}^2 / \mathrm{N}$. Pressure of $15 \times 10^6 \mathrm{~Pa}$ is applied on 100 mL volume of water. The change in the volume of water is

A metal rod has length, cross-sectional area and Young's modulus as $L, A$ and $Y$, respectively. If the elongation in the rod produced is I, then work done is proportional to

Two rods of same material and volume having circular cross-section are subjected to tension \(T\). Within the elastic limit, same force is applied to both the rods. Diameter of the first rod is half of the second rod, then the extensions of...

The density of a metal at normal pressure \(p\) is \(\rho\). When it is subjected to an excess pressure, the density becomes \(\rho^{\prime}\). If \(K\) is the bulk modulus of the metal, then the ratio \(\frac{\rho^{\prime}}{\rho}\) is

Two wires of different materials have same length \(L\) and same diameter \(d\). The second wire is connected at the end of the first wire and forms one single wire of double the length. This wire is subjected to stretching force \(F\) to p...

Two wires \(A\) and \(B\) are stretched by the same load. The radius of wire \(A\) is double the radius of wire \(B\). The stress on the wire \(B\) as compared to the stress on the wire \(A\) is

A wire of length $L$ and radius $r$ is rigidly fixed at one end. On stretching the other end of the wire with a force $F$, the increase in length is $I$. If another wire of the same material but double the length and radius is stretched wit...

For homogeneous isotropic material, which one of the following cannot be the value of Poisson's ratio?

Two identical wires of substances ' $P$ ' and ' $Q$ ' are subjected to equal stretching force along the length. If the elongation of ' $Q$ ' is more than that of ' $P$ ', then

Work done in stretching a wire through 1 mm is 2 J . What amount of work will be done for elongating another wire of same material, with half the length and double the radius of cross section, by 1 mm ?

A lift is tied with thick iron ropes having mass ' $M$ '. The maximum acceleration of the lift is ' $a$ ' $\mathrm{m} / \mathrm{s}^2$ and maximum safe stress is ' S ' $\mathrm{N} / \mathrm{m}^2$. The minimum diameter of the rope is

A wire of length ' $L$ ' and area of cross section ' $A$ ' is made of material of Young's modulus ' $r$. It is stretched by an amount ' $x$ '. The work done in stretching the wire is