The longitudinal strain of a string is equal to twice the magnitude of lateral strain. Poisson's ratio of the material of string is:

(1) 0.4

(2) 0.5

(3) 0.1

(4) 0.2

When a mass M is suspended by a wire, it elongates the wire by length l. The work done during this elongation process is:

(1) Zero

(2) $\frac{1}{2}$Mgl

(3) Mgl

(4) 2Mgl

Given that the breaking stress of a wire is 7.2 x ${10}^7$ N/ ${\mathrm{m}}^2$ and its density is 7.2 g/cc, then the maximum length of the wire which can hang without breaking is: (g = 10 m/${\mathrm{s}}^2$)

(1) 1000 m

(2) 100 m

(3) 200 m

(4) 50 m

Work done in increasing the length of a 1 m long wire by 1 mm is 10 J. Work done in increasing the length further by 1 mm is:

(1) 10 J

(2) 20 J

(3) 30 J

(4) 40 J

If the pressure of a gas is increased from 1.04 x ${10}^5$ Pa to 1.045 x ${10}^5$ Pa and volume is decreased by 5% at a constant temperature, then the Bulk modulus of the gas is:

(1) 1.0425 x ${10}^5$ Pa

(2) 1.045 x ${10}^5$ Pa

(3) ${10}^4$ Pa

(4) 2.5 x ${10}^4$ Pa

The breaking strength of the iron wire of radius r and length l is 2 x ${10}^6 \mathrm{N}/{\mathrm{m}}^2$. Breaking strength of another iron wire of radius r, and length l at the same temperature will be:

(1) 0.5 x ${10}^6 \mathrm{N}/{\mathrm{m}}^2$

(2) 1 x ${10}^6 \mathrm{N}/{\mathrm{m}}^2$

(3) 2 x ${10}^6 \mathrm{N}/{\mathrm{m}}^2$

(4) 8 x ${10}^6 \mathrm{N}/{\mathrm{m}}^2$

The stress-strain curve for two materials A and B are as shown in the figure. Select the correct statement:

A material has Poisson's ratio of 0.5 and  If a uniform rod of it suffers a longitudinal strain of 4 x ${10}^{-6}$, then the percentage change in its volume will be

(1) 2%

(2) 8%

(3) 0%

(4) 4%

Select the incorrect statement about Bulk modulus of elasticity.

(1) It is defined for solids, liquids and gases.

(2) ${\mathrm{B}}_{\mathrm{solid}} > {\mathrm{B}}_{\mathrm{liquid}} > {\mathrm{B}}_{\mathrm{gas}}$

(3) The bulk modulus of gas is different for different processes.

(4) Almost for all materials, the Bulk modulus increases with the rise in temperature.

The Poisson's ratio of a material is 0.5, then $\left(\frac{\mathrm{Y}}{\mathrm{B}}\right)$ is: (Y is Young's modulus, B is Bulk modulus)

(1) 5

(2) 3

(3) Zero

(4) Infinite