Two rods identical in geometry but of different materials having co-efficient of thermal expansion α 1 and α 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 the rods. If α 1 : α 2 = 2 : 6 the thermal stresses developed in the two rods are equal provided Y 1 : Y 2 is equal to:
Text Solution
Verified by ExpertsThe correct answer is:
C

= 
= Y α Δθ ( Δθ is same for both)
= 
=
= 3 : 1
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