A steel rod of length 1m is heated from 25°C to 75°C keeping its length constant. The longitudinal strain developed in the rod is (Given: Coefficient of linear expansion of steel = 12 x 10-6/0C)
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a
-6×10-6
b
-6×10-5
c
-6×10-4
d
zero
answer is C.
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Detailed Solution
Due to the Expansion of the rod due to heating it, the rod develops a strain, trying to resist the change in length. Thus the strain tends to reduce the length of the rod.Strain ⇒ ∆LL = Lα∆θL ⇒ α∆θStrain ⇒-12 ×10-6×50⇒-6×10-4