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Q.

There is some change in length when 33000N tensile force is applied on a steel rod of 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 × 1011N/m2  and the coefficient of linear expansion of steel is 1.1 × 10–5/0C)

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a

200C

b

150C

c

100C

d

00C

answer is C.

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Detailed Solution

Free Thermal expansion Δl = l.α.ΔtBy Hookes Law, Δl = Fl/AYlα∆t=FlAYand we have F = YAαΔt33000 = 3 x 1011 x 10-3 x 1.1 x 10-5 ΔtΔt = 100C
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