JEE Advanced 2015 · Paper 2 · Physics Q12

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PhysicsMultiple correct+4 / -2Question 12 of 60

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 statement(s) is(are)

Strain (y-axis) against stress (x-axis) for two materials. P: a steeper straight line from the origin that continues to larger stress and then curves sharply upward (large strain) before ending. Q: a shallower straight line that ends at a smaller stress with a short upward curl.

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

Answer and worked solution

Official answer: A, B

Reading the plot. The slope of strain against stress is $1/Y$ .

(D) P's line is steeper, so P has the smaller Young's modulus. False.
(A) P's curve continues to a larger stress before breaking, so it has higher tensile strength. True.
(B) P has a long plastic region (large strain before fracture), so it is more ductile. True.
(C) Q breaks soon after its linear region, so Q is the brittle one. False.

(A), (B)

Topics:Stress and strain Hooke's law and elastic moduli

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JEE Advanced 2015 · Paper 2, Physics question 12