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Question

# There is some change in length when a 33000 N tensile force is applied on a steel rod of area of cross section 10−3 m2. The change of temperature required to produce the same elongation, if steel rod is heated, is: (The modulus of elasticity is 3×1011 N/m2 and the coefficient of linear expansion of steel is 1.1×10−5∘C−1)

A
10C
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B
1C
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C
20C
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D
30C
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Solution

## The correct option is A 10∘CWe know , Modulus of elasticity, Y=ForceArea×lΔl ⇒3×1011=3300010−3×lΔl ⇒Δll=3300010−3×13×1011=11×10−5 Also, Change in length (thermal strain), Δll=αΔT ⇒11×10−5=1.1×10−5×ΔT ⇒ΔT=10∘C

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