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Grade: 12th pass
        
 Two rods of different materials having coefficients of thermal expansion a1, a2 and Young’s modulii Y1,Y2 respectively are fixed between two rigid massive walls. The rods are temperature. There is no bending of the rods. If a1:a2=2:3, the thermal stresses developed in the two rods are equal provided Y1:Y2 is equal to
(a) 2:3
(b) 1:1
(c) 3:2
(d) 4:9
4 years ago

Answers : (1)

Aditi Chauhan
askIITians Faculty
396 Points
							

(c) ?l­ = la?T ? ?l/l = a?T

Stress = Y * strain

? Stress = Ya?T

For first rod stress = Y1a1?T

For first rod stress = Y1a1?T

For second rod stress = Y2a2?T

Since, stress are equal

? Y1a1?T = Y2a2?T

Or, Y1/Y2 = a2/a1 = 3/2

4 years ago
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