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Question

There is some change in length when a 33000N tensile force is applied on a steel rod of the area of cross section 10−3m2. The change in temperature required to produce the same elongation if the steel rod is heated is:(The modulus of elasticity is 3×1011Nm−2 and coefficient of linear expansion of steel is 1.1×10−50C−1)

A
20C
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B
150C
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C
100C
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D
00C
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Solution

The correct option is C 100CFor elongationY=FALΔL3×1011=33000×1031×LΔL=ΔLL=33×103×1033×1011=11105→(1)For exansionΔL=αΔθlΔLL=11106×Δθ→(2)Equating (1)&(2)π106×Δθ=π105Δθ=10°C

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