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UPSC Civil Service Exam Questions

Q1: The length, coefficient of thermal expansion and Young's modulus of bar 'A' are twice that of bar 'B'. If the temperature of both bars is increased by the same amount while preventing any expansion, then the ratio of stress developed in bar A to that in bar B will be

A 2

B 4

C 8

D 16

ANS:B - 4

Temperature stress= young modulus x coefficient of thermal expansion x stress x temperature.

Stress in bar A/ Stress in bar B =young modules of a/ young modulus of b x coefficient of thermal expansion of a /coefficient of thermal expansion of b = 2 x 2 =4.



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