The Poisson ratio cannot have value

(1) 0.7

(2) 0.2

(3) 0.1

(4) 0.5

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):

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

1. 0.5 to 1

2. –1 to 0.5

3. 0 to 0.5

4. –0.5 to 0

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

1. $\frac{1}{3}$

2. $\frac{2}{3}$

3. $\frac{1}{2}$

4. $\frac{1}{4}$

Which of the following relation is true?

1.  $3\mathrm{Y} = \mathrm{k}\left(1 - \mathrm{\sigma }\right)$

2.  $\mathrm{K} = \frac{9\mathrm{\eta Y}}{\mathrm{Y} + \mathrm{\eta }}$

3.  $\mathrm{\sigma } = \left(6\mathrm{K} + \mathrm{\eta }\right)\mathrm{Y}$

4.  $\mathrm{\sigma } = \frac{0.5 \mathrm{Y} - \mathrm{\eta }}{\mathrm{\eta }}$

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?

1.  0.99998 mm

2.  0.99999 mm

3.  0.99997 mm

4.  0.99995 mm

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

(1) Elastic after effect

(2) Elastic fatigue

(3) Plasticity

(4) Both (1) & (2)

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:

(1) 2E

(2) 4E

(3) 8E

(4) E

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%?

(1) 1 m

(2) 10 m

(3) 90 m

(4) 1 km