A steel rod of cross sectional area 4 cm2 and length 1 m is heated so that its temperature is increased by 10oC. What longitudinal compressive force is to be applied on both ends of the steel rod so that it regains its original length? Given that αs=11×10−6/oC and YS=20×1010 N/m2
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a
16000 N
b
12500 N
c
6500 N
d
8800 N
answer is D.
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Detailed Solution
Elastic compression = Thermal expansion ∴ P.lΑ.YS=l.αS.Δt⇒P=AYSαS.Δt=4×10−4×20×1010×11×106×10 N=8800 N