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Question

If the temperature of a wire of length 2m and area of cross section 1cm2 is increased from 00C to 800C and is not allowed to increase in length, then required for it is Y=1010N/m2

A
0.008N
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B
1.06N
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C
2.4N
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D
3.2N
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Solution

The correct option is A 0.008N
Lenght=2m
Cross-sectional area=1cm2=0.0001m2
Change in temperature=ΔT=800=80°
Force = ?
Y=(1010N/m2)
α=1010
Y=(F/A)/(Δl/l)
Δl=(F/YA)×ll×α×ΔT
F=Y×A×α×ΔT
F=(1010)×(1/10000)×1010×80
F=0.008N
Hence,
option (A) is correct answer.

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