Questions

# Two rods of different materials having coefficients of linear expansion ${\mathrm{\alpha }}_{1},{\mathrm{\alpha }}_{2}$ and Young's moduli , 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
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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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