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Question

# There is some change in 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 equation if steel is 1.1×10−5/oC)

A
20oC
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B
15oC
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C
10oC
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D
0oC
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Solution

## The correct option is C 10oCElongation due to tensile force (F)=FAY=3300010−3×3×1011=1.1×10−4Coefficient of linear expansion {α} is 1.1×10−5Change of temperature dT required to produce the same elongation is given by: αdT=1.1×10−4 Hence, dT=100C

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