A uniform metal rod (fixed at both ends) of 2 mm2 crosssection is cooled from 40° C to 20° C. The co-efficient of the linear expansion of the rod is 12 x 10-6 per degree and its young modulus of elasticity is 1011 N/m2. The energy stored per unit volume of the rod is:

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2880 J/m3

1500 J/m3

5760 J/m3

1440 J/m3

answer is A.

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Detailed Solution

Energy Density = 12 stress × strain = 12Y(strain)2 = 2880 J/m3

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