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A structural steel rod has a radius r(=1...

A structural steel rod has a radius r(=10 mm) and a length l(=1 m). When a force F(= 100 kN) is applied, it stretches it along its length. Young's modulus of elasticity of the structural steel is `2.0xx10^(11) Nm^(-2)`. What is the elastic energy density of the steel rod ?

A

`6.12xx10^(4) Jm^(-3)`

B

`1.25xx10^(4) Jm^(-3)`

C

`2.5xx10^(4) Jm^(-3)`

D

`2.5xx10^(5) Jm^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Elastic energy density, `u=(1)/(2)` stress x strain
`=(1)/(2)xx(3.18xx10^(8))xx((1.59xx10^(-3))/(1))`
`=2.52xx10^(5) Jm^(-3)`
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