Q.

The volume expansibility of brass and iron are 54×106K1 and 36×106K1  respectively. They are supported between rigid walls. They are heated so that they have the same rise of temperature and there is no bending. If the same thermal stress is developed in them, the ratio of Young’s modulus of brass and iron will be:

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a

4 : 9

b

3 : 2

c

2 : 3

d

1 : 1

answer is A.

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Detailed Solution

Stress =YαΔt 

As the stress developed is same.

So the ratios of Young's modulus will be the inverse of ratio of the volume expansibility.

Y1α

Y1:Y2=2 : 3

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