A 5 metre long wire is fixed to the ceiling. A weight of 10 kg is hung at the lower end and is 1 metre above the floor. The wire was elongated by 1 mm. The energy stored in the wire due to stretching is:

If the force constant of a wire is K, the work done in increasing the length of the wire by l is

When strain is produced in a body within elastic limit, its internal energy

The ratio of Young's modulus of the material of two wires is 2 : 3. If the same stress is applied on both, then the ratio of elastic energy per unit volume will be-

The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If $Y_A$ and $Y_B$ are the Young ‘s modulii of the materials, then

If a spring extends by x on loading, then the energy stored by the spring is (if T is tension in the spring and k is spring constant)

A stretched rubber has:

When load of 5kg is hung on a wire then extension of 3m takes place, then work done will be

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

Copper of fixed volume 'V' is drawn into a wire of length 'l'. When this wire is subjected to a constant force 'F', the extension produced in the wire is 'Δl'. Which of the following graph is a straight line?

When a block of mass M is suspended by a long wire of length L, the length of the wire becomes (L+l). The elastic potential energy stored in the extended wire is:

A cylindrical wire of radius 1 mm, length 1m, Young's modulus $=2\times {10}^{11} \mathrm{N}/{\mathrm{m}}^2$, poisson's ratio $\mathrm{\mu }=\mathrm{\pi }/10$ is stretched by a force of 100 N. Its radius will become?

Which of the following relation is true?

Practically range of Possion’s ratio $\mathrm{\sigma }$ is

The Poisson ratio cannot have value

The stress-strain curves are drawn for two different materials X and Y. It is observed that the ultimate strength point and the fracture point are close to each other for material X but are far apart for material Y. We can say that the materials X and Y are likely to be: (respectively)

If Young modulus (Y) equal to bulk modulus (B). Then the Poisson ratio is :

Bridges are declared unsafe after a long time of their use due to:

The Young's modulus of a wire is numerically equal to the stress at a point when:

A steel wire is fixed at its one end on the roof. At other ends of the wire, 1 kg mass is hanged so that the energy stored in the wire is E. The energy stored in the same wire if we hang 2 kg mass instead of 1 kg is:

The bulk modulus of a rubber ball is $9\times {10}^8 \mathrm{N}/{\mathrm{m}}^2$. To what depth below the surface of the sea, should the ball be taken so as to decrease its volume by 0.1%?

What is the value of Poisson's ratio for an incompressible material?

If the Poisson's ratio of a material is 0.5, then its bulk modulus is equal to:

A uniform wire of cross-sectional area A is stretched by a certain force so that its length is elongated by x. What should be the cross-sectional area of the wire, so that elongation becomes $\frac{\mathrm{x}}{2}$ on applying the same force?

A wire suspended vertically from one of its ends is stretched by attaching a weight of 100 N. If the elastic energy stored in the wire is 0.1 J. The elongation in the wire is:

Breaking stress of a wire of length L and radius r is B. If another wire made of the same material has length 2L and radius 2r, its breaking stress will be:

If E is the energy stored per unit volume in a wire having Young's modulus of the material Y, then stress applied is:

Two wires of the same material have lengths in the ratio of 1: 2. If they are stretched by applying equal forces, the increase in lengths is the same. The ratio of their respective radii is:

The value of Poisson's ratio cannot be: