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Figure shows the stress-strain graphs fo...

Figure shows the stress-strain graphs for materials .`A` and `B`. From the graph it follows that

A

to material `A` has a higher Young's modulus

B

material `B` is more ductile

C

material `A` can withstand greater stress

D

material `B` can withstand greater stress

Text Solution

Verified by Experts

The correct Answer is:
A, D
The slope of the linear portion of the curve gives the Young's modulus of the material. The slope of the linear portion `OP`, for material `A` is greater than that of the linear portion `OR` for material `B`. Hence, statement a is correct. The plastic region for material `A` (from `P` to `Q`) is greater than that (from `R` to `S`) for material `B`, which indicates that material `A` is more ductile. Hence statement b is correct. The breaking stres for material `B` i.e., stress corresponding to point `S`) is less than that for material `A` (i.e., sress corresponding to point `Q`), which implies that material `B` can break more easily than material `A`. Thus, material `B` is more brittle. Hence, choice c is also incorrect. Material `A` is stronger than material `B` becase it can with stand a greater stress before it breaks. The breaking stres is the stress corresponding to point for material `A` and to point `S` for material `B`. Hence, the correct choices are a and d.
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Knowledge Check

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