Two rods of different materials having coefficients of linear expansion \[{{\alpha }_{1}},\,{{\alpha }_{2}}\] and Young's moduli \[{{Y}_{1}}\] and \[{{Y}_{2}}\] 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 \[{{\alpha }_{1}}:{{\alpha }_{2}}=2:3\], the thermal stresses developed in the two rods are equally provided \[{{Y}_{1}}:{{Y}_{2}}\] is equal to [IIT 1989]

Two rods of different materials having coefficients of linear expansio

1.	Two rods of different materials having coefficients of linear expansion \[{{\alpha }_{1}},\,{{\alpha }_{2}}\] and Young's moduli \[{{Y}_{1}}\] and \[{{Y}_{2}}\] 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 \[{{\alpha }_{1}}:{{\alpha }_{2}}=2:3\], the thermal stresses developed in the two rods are equally provided \[{{Y}_{1}}:{{Y}_{2}}\] is equal to [IIT 1989]
A.	0.085416666666667
B.	0.042361111111111
C.	increase or decrease
D.	0.17291666666667
Answer» D. 0.17291666666667

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