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Question

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

A
20
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B
15
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C
10
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D
0
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Solution

## The correct option is B 10Modulus of elasticity =ForceArea×lΔl3×1011=3300010−3×lΔlΔll=3300010−3×13×1011 =11×10−5Change in length, Δll=αΔT11×10−5=1.1×10−5×ΔT⇒ΔT=10 K or 10

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