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A steel wire of length 2o cm and uniform cross-section 1mm2 is tied rigidly at both the ends. The temperature of the wire is altered from 40°C to 20°C. Coefficient of linear expansion for steel α =1.1 x 10-5 /°C and f for steel is 2 .0 x 1011 N/m2 . The change in tension of the wire is

a
2.2x 106 newton
b
16 newton
c
8 newton
d
44 newton

detailed solution

Correct option is D

F=YAαt=2⋅0×101110−61⋅1×10−5(20)=44 newton

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