In plotting stress versus strain curves for the 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)
(A)P has more tensile strength than Q✓ Correct
(B)P is more ductile than Q✓ Correct
(C)P is more brittle than Q
(D)The Young's modulus of P is more than that of Q
Answer: (A), (B)
Solution
The graph shows strain (y-axis) vs stress (x-axis), which is the inverse of the usual stress-strain curve.
From the graph:
Breaking stress: P breaks at higher stress than Q, so P has greater tensile strength. ✓ (A)
Ductility: P shows larger strain before breaking (extends more), so P is more ductile than Q. ✓ (B)
Brittleness: Since P is more ductile, it is less brittle than Q. ✗ (C)
Young's modulus: Y=strainstress=slope of given graph1
From the graph, P has a larger slope (strain/stress), so P has smaller Young's modulus than Q. ✗ (D)
Therefore, only (A) and (B) are correct.
JEE Advanced · 2015 · 24 May 2015 · Paper 2 · One or more correct options
