Questions

Two rods of different materials having coefficients of linear expansion ${\mathrm{\alpha}}_{1},{\mathrm{\alpha}}_{2}$ and Young's moduli ${\mathrm{Y}}_{1}\text{and}{\mathrm{Y}}_{2}$, 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 rods. If ${\mathrm{\alpha}}_{1}:{\mathrm{\alpha}}_{2}=2:3$, the thermal stresses developed in the two rods are equally provided, ${\mathrm{Y}}_{1}:{\mathrm{Y}}_{2}$ is equal to

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a

2:3

b

1:1

c

3:2

d

4:9

NEW

detailed solution

Correct option is C

Thermal stress =YαΔθIf thermal stress and rise in temperature are equal, then Y∝1α⇒Y1Y2=α2α1=32

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