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A uniform metal rod fixed at its ends of...

A uniform metal rod fixed at its ends of `2 mm^(2)` cross-section is cooled from `40^(@)C` to `20^(@)C`. The coefficient of the linear expansion of the rod is `12xx10^(-6) ` per degree celsius and its young's modulus of elasticity is `10^11 N//m^(2).` The energy stored per unit volume of the rod is

A

`2880 J//m^(3)`

B

`1500 J//m^(3)`

C

`5760 J//m^(3)`

D

`1440 J//m^(3)`

Text Solution

Verified by Experts

Energy Density =1/2 stress x strain =1/2Y `("strain")^(2)=2880 J//m^(3)`
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