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Question

A thin rod of negligible mass and area of cross-section 2105m2, suspended vertically from one end, has a length of 0.5 m at 200C. The rod is cooled to 0C, but length is kept same by attaching a mass at the lower end. The value of this mass is (Young's modulus =1011N/m2, Coefficient of linear expansion 105K1).

A
20 kg
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B
30 kg
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C
40 kg
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D
50 kg
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E
Answer Required
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Solution

The correct option is E 40 kg
Tension developed in the rod will be T=A(YαΔT)=(2X105)(1011)(105)(200)=4000N

This needs to be balanced by the weight, hence,

4000=mg

m=40kg

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