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The graph shows the behaviour of a steel...

The graph shows the behaviour of a steel wire in the region for whoch the wire obeys Hooke's law. The graph is a parabola. The variables ` X` and `Y` -axes, respectively can be [ stress `(sigma)`,strain `( epsilon)` and elastic potential energy(U) ]

A

A) `U, sigma`

B

B) `U, epsilon`

C

C) `sigma, epsilon`

D

D) `None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`U = 1/2 sigma epsilon =1/2(Y epsilon)epsilon`
`rArr U =1/2 Y epsilon^(2) ` is similar to x `= ky^(2)`
Which is a parabola passing through origin and symmetric about x-axis.
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