Two rods identical in geometry but of different materials having co-efficient of…

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Solids · Mechanical Properties of Solids

Problem

Two rods identical in geometry but of different materials having co-efficient of thermal expansion α1\alpha_1 and α2\alpha_2 and Young's moduli Y1Y_1 and Y2Y_2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If α1:α2=2:6\alpha_1 : \alpha_2 = 2 : 6 the thermal stresses developed in the two rods are equal provided Y1:Y2Y_1 : Y_2 is equal to: (a) 2 : 3 (b) 1 : 1 (c) 3 : 1 (d) 4 : 9

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