Q.

Two rods of different materials having coefficients of thermal expansion α1, α2 and young’s modulus Y1, Y2 respectively are fixed between two rigid walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If α1 : α2 =2:3, thermal stress developed in the rods are equal provided Y1 : Y2 is equal to

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a

2:3

b

1:1

c

3:2

d

4:9

answer is C.

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Detailed Solution

 Thermal stress Y1α1Δt=Y2α2Δt

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Two rods of different materials having coefficients of thermal expansion α1, α2 and young’s modulus Y1, Y2 respectively are fixed between two rigid walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If α1 : α2 =2:3, thermal stress developed in the rods are equal provided Y1 : Y2 is equal to