Two rods of same dimensions are made of two materials A and B, whose stress-strain graphs are shown in the figure. The rods are subjected to axial tensile force. Then select the correct option.

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For same tensile force, elongation produced in rod A is more than that of rod B.

If the force applied on rod A is less than the force applied on B, then elongation produced in B is more

If same elastic potential energy is stored in both rods, then force applied on A is more than the force applied on B

Both (2) and (3) are right

answer is D.

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Detailed Solution

From the stress-strain graph it is evident that YA>YBIn option - (2), σA<σBSince ∈=σY it is evident that ∈A<∈B. Hence option - (2) is right.Again energy density, u=σ22Y=F22YA2Since ua=uB we can write FA2YA=FB2YB⇒FA=YAYBFB⇒FA>FBHence option - (3) is also right.

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