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There is some change in length when a 33000 N tensile force is applied on a steel rod of area of cross- section 10-3m-2. The change of temperature required to produce the same elongation, if the steel rod is heated is (Take, modulus of elasticity is 3 x 1011 Nm-2 and coefficient of linear expansion of steel is 11 X 10-5 /0C)

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a

200C

b

150C

c

100C

d

00C

answer is C.

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Detailed Solution

Modulus of elasticity = Force Area ×lΔl3×1011=3300010−3×lΔlΔll=3300010−3×13×1011=11×10−5Change in length, Δll=αΔT11×10−5=1.1×10−5×ΔT⇒ ΔT=100C

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There is some change in length when a 33000 N tensile force is applied on a steel rod of area of cross- section 10-3m-2. The change of temperature required to produce the same elongation, if the steel rod is heated is (Take, modulus of elasticity is 3 x 1011 Nm-2 and coefficient of linear expansion of steel is 11 X 10-5 /0C)