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Two wires A and B are of the same materi...

Two wires A and B are of the same material. Their lengths are in the ratio 1 : 2 and the diameter are in the ratio 2 : 1. If they are pulled by the same force, then increase in length will be in the ratio

A

`1 : 2`

B

`2 : 1`

C

`1 : 4`

D

`4 : 1`

Text Solution

Verified by Experts

The correct Answer is:
B
`e = (M g L)/(pi r^(2) Y)`
`(e_(1))/(e_(2)) = (r_(2)^(2)Y_(2))/(r_(1)^(2) Y_(1)) = ((2)/(1))^(2) xx ((1)/(2)) = (2)/(1)`
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