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):

1.	ductile and brittle
2.	brittle and ductile
3.	brittle and plastic
4.	plastic and ductile

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. $\frac{1}{4}$

The Poisson ratio cannot have value

(1) 0.7

(2) 0.2

(3) 0.1

(4) 0.5

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

Which of the following relation is true?

1.  $3\mathrm{Y}<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>\mathrm{k}\left(1<mspace\; width="1em"></mspace>-<mspace\; width="1em"></mspace>\mathrm{\sigma }\right)<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

2.  $\mathrm{K}<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>\frac{9\mathrm{\eta Y}}{\mathrm{Y}<mspace\; width="1em"></mspace>+<mspace\; width="1em"></mspace>\mathrm{\eta }}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

3.  $\mathrm{\sigma }<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>\left(6\mathrm{K}<mspace\; width="1em"></mspace>+<mspace\; width="1em"></mspace>\mathrm{\eta }\right)\mathrm{Y}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

4.  $\mathrm{\sigma }<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>\frac{0.5<mspace\; width="1em"></mspace>\mathrm{Y}<mspace\; width="1em"></mspace>-<mspace\; width="1em"></mspace>\mathrm{\eta }}{\mathrm{\eta }}$

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 $9\times {10}^8<mspace\; width="1em"></mspace>\mathrm{N}/{\mathrm{m}}^2$. 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

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

(1) Zero

(2) 0.2

(3) 0.5

(4) Infinite