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