The figure shows the stress-strain curve for a given material. Young's modulus for the material is:
     

$\left(1\right) 7.5\times {10}^{10} N m^{-2}$
$\left(2\right) 5\times {10}^{10} N m^{-2}$
$\left(3\right) 7.5\times {10}^9 N m^{-2}$
$\left(4\right) 7.5\times {10}^8 N m^{-2}$

The figure given below shows the longitudinal stress vs longitudinal strain graph for a given material. Based on the given graph, Young's modulus of the material with the increase in strain will:

1. be variable.

2. first increase & then decrease.

3. first decrease & then increase.

4. remain constant.

A student plots a graph from his readings on the determination of Young modulus of a metal wire but forgets to put the labels (figure). The quantities on X and Y-axes may be respectively,

Choose the correct option:

A copper and a steel wire of the same diameter are connected end to end. A deforming force \(F\) is applied to this composite wire which causes a total elongation of \(1\) cm. The two wires will have:

Choose the correct option:

A rod of length l and negligible mass is suspended at its two ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths (figure). The cross-sectional areas of wires A and B are $1.0 {\mathrm{mm}}^2 \mathrm{and} 2.0 {\mathrm{mm}}^2$ respectively. (${\mathrm{Y}}_{\mathrm{Al}}=70\times {10}^9 \mathrm{N}/{\mathrm{m}}^2 \mathrm{and} {\mathrm{Y}}_{\mathrm{steel}}=200\times {10}^9 \mathrm{N}/{\mathrm{m}}^2$)

The correct statements are:

1. (b, c)

2. (a, d)

3. (b, d)

4. (c, d)

A wire is suspended from the ceiling and stretched under the action of a weight \(F\) suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.
 

The correct statements are:
1. (a), (b)
2. (a), (d)
3. (b), (c)
4. (a), (c)

The stress-strain graphs for the two materials are shown in the figure. (assumed same scale)

The correct statements are:

1. (a, c)
2. (c, d)
3. (b, c)
4. (b, d)