A gas undergoes a process in which its pressure P and volume V are related as ${\mathrm{VP}}^{\mathrm{n}}=\mathrm{constant}$. The bulk modulus for the gas in the process is:

[This question includes concepts from Kinetic Theory chapter]

The Young's modulus of a wire of length 'L' and radius 'r' is 'Y'. If length is reduced to L/2 and radius r/2, then Young's modulus will be 

Three wires A, B, C made of the same material and radius have different lengths. The graphs in the figure show the elongation-load variation. The longest wire is
       

The breaking stress of a wire depends upon:

The bulk modulus of a spherical object is B. If it is subjected to uniform pressure P, the fractional decrease in radius will be:

The Young's modulus of steel is twice that of brass. Two wires of the same length and of the same area of cross-section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weight added to the steel and brass wires must be in the ratio of:

The following four wires are made of the same material. Which of them will have the largest extension when the same tension is applied?

When a certain weight is suspended from a long uniform wire, its length increases by one cm. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one, then the increase in length will be -

The material which practically does not show elastic after effect is 

A force F is needed to break a copper wire having radius R. The force needed to break a copper wire of radius 2R will be:

The relationship between Young's modulus Y, Bulk modulus K and modulus of rigidity n is

The Young's modulus of a rubber string 8 cm long and density $1.5 kg/m^3$ is $5\times {10}^8 N/m^2$, is suspended on the ceiling in a room. The increase in length due to its own weight will be

A and B are two wires of same material. The radius of A is twice that of B. They are stretched by the same load. Then the stress on B is

If the length of a wire is reduced to half, then it can hold the ......... load

Why the spring is made up of steel in comparison of copper?

Two wires of copper having length in the ratio of 4: 1 and radii ratio of 1: 4 are stretched by the same force. The ratio of longitudinal strain in the two will be:

The force constant of a wire does not depend on

The length of a wire is 1.0 m and the area of cross-section is $1.0\times {10}^{-2}c{m}^2$. If the work done for increase in length by 0.2 cm is 0.4 joule, then Young's modulus of the material of the wire is

The quality of the material which opposes the change in shape, volume or length is called

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 its length is l. If another wire of same material but of length 2L and radius 2r is stretched with a force of 2F, the increase in its length will be

In steel, the Young's modulus and the strain at the breaking point are $2\times {10}^{11}N{m}^{-2}$ and 0.15 respectively. The stress at the breaking point for steel is therefore -

Which one of the following substances possesses the highest elasticity:

Which one of the following quantities does not have the unit of force per unit area?

A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by 1 cm. The two wires will have

The possible value of Poisson's ratio is

Which of the following affects the elasticity of a substance

A wire of diameter 1mm  breaks under a tension of 1000 N. Another wire, of the same material as that of the first one, but of diameter 2 mm, breaks under a tension of:

There is no change in the volume of a wire due to change in its length on stretching. The Poisson's ratio of the material of the wire is

The force required to stretch a steel wire of cross-section $1 {\mathrm{cm}}^2$ to 1.1 times its length would be $\left(Y=2\times {10}^{11} N{m}^{-2}\right)$

A fixed volume of iron is drawn into a wire of length L. The extension x produced in this wire by a constant force F is proportional to: