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Two wires of the same material and lengt...

Two wires of the same material and length but diameters in the ratio `1:2` are stretched by the same force. The potential energy per unit volume for the two wires when stretched will be of the ratio.

A

`1 : 1`

B

`2 : 1`

C

`4 : 1`

D

`16 : 1`

Text Solution

Verified by Experts

The correct Answer is:
D
`(r_(1))/(r_(2)) = (1)/(2)`
`PE` (per unit volume) `= (1)/(2Y)((F)/(A))^(2)`
`PE prop 1//A^(2)`
`(PE_(1))/(PE_(2)) = (A_(2)^(2))/(A_(1)^(2)) = 16 : 1`
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