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Two wires made from the same material ha...

Two wires made from the same material have their lengths L and 2L and the radii 2r and r respectively. If they are stretched by the same force, their extensions are `e_(1)` and `e_(2)`. The ratio `e_(1)/e_(2)` is

A

`1:8`

B

`8:1`

C

`1:4`

D

`2:1`

Text Solution

Verified by Experts

The correct Answer is:
A
`e prop L` and `e prop (1)/(r^(2))` or `e prop (L)/(r^(2))`
`:. (e_(1))/(e_(2)) = (L_(1))/(L_(2)) xx (r^(2))/(4r^(2)) = (1)/(2) xx (1)/(4) = (1)/(8)`
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