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

     

(a) Material (ii) is more elastic than material (i) and hence material (ii) is more brittle
(b) Material (i) and (ii) have the same elasticity and the same brittleness
(c) Material (ii) is elastic over a larger region of strain as compared to (i)
(d) Material (ii) is more brittle than material (i)
 

Choose the correct statements from the given ones: 
1. (a) and (c) only
2. (c) and (d) only
3. (b) and (c) only
4. (b) and (d) only

Hint: The ultimate tension strength gives the elasticity of the material.
 
Explanation: Let's analyze the stress-strain graphs and the properties of the two materials based on the options given.
Elasticity: The ability of a material to return to its original shape after the removal of stress.
Brittleness: A material is considered brittle if it breaks with little deformation (i.e., it has a small plastic region).
From the graphs, it is clear that the ultimate strength of material (ii) is greater than that of material (i). Therefore, the elastic behavior of material (ii) is over a larger region of strain as compared to material (i). If the fracture point of a material is closer to the ultimate strength point, then the material is a brittle material. Therefore, the material (ii) is more brittle than material (i).
It is clear from the two graphs, the ultimate tensile strength for material (ii) is greater, here material (ii) is elastic over a larger region as compared to material (I). For material (ii), the fracture point is nearer, hence it is more brittle.
Hence, option (2) is the correct answer.