Q.

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
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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)