JEE Advance - Physics (2015 - Paper 2 Offline - No. 12)
In plotting stress versus strain curves for two materials P and Q, a student by mistake puts strain on the y-axis and stress on the x-axis as shown in the figure. Then, the correct statements is/are
P has more tensile strength than Q
P is more ductile than Q
P is more brittle than Q
The Young's modulus of P is more than that of Q
Explanation
We know, $$Y = {{Stress} \over {Strain}}$$
According to graph,
Slope of curve $$ = {{Change\,in\,strain} \over {Change\,in\,stress}} = {1 \over Y}$$
(Slope)P > (Slope)Q $$\therefore$$ YP < YQ
P has more tensile strength than Q as it sustains more stress after elastic limit.
There is large deformation between the elastic limit and the fracture point for material P as compared to material Q. Hence, P is more ductile than Q.
After the elastic limit, Q breaks soon as compared to P. So, Q is more brittle than P.
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