Q.

A uniform metal rod of 2.2mm2 cross-section is heated from 0C to 20C . The coefficient of the linear expansion of the rod is 12×10-6/ 0C . Its Young’s modulus of elasticity is 1011Nm-2 . The energy stored per unit volume of the rod is

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a

15750Jm-3

b

1500Jm-3

c

2880Jm-3

d

1440Jm-3

answer is D.

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Detailed Solution

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Energy stored per unit volume is given by

u=Y×( strain )22=10112× change in length  original length 2 Where Y is Young's modulus 

u=10112αLΔθL2=1011212×10-6×202=2880-Jm-3

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