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Question

If the temperature of a wire of length 2 m and area of cross-section 1 cm2 is increased from 0C to 80C, then force required so that the wire is not allowed to increase in length is: (Given Y=1010 N/m2,α=106 /C)

A
160 N
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B
80 N
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C
400 N
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D
120 N
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Solution

The correct option is B 80 N
We know that,
Force exerted on the supports to prevent the increase in length due to thermal expansion is given by,
F=YAαΔθ
Given, Δθ=800=80C
A=1 cm2,α=106 /C
So,
F=1010×0.0001×106×80
F=80 N

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