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Two steel wires of lenths 1m and 2m have...

Two steel wires of lenths `1m` and `2m` have diameters `1mm` and `2mm` respectively. If they are stretched by forces of `40N` and `80N` respectively, the ratio of their elongations is

A

`2:1`

B

`2:3`

C

`3:4`

D

`1:1`

Text Solution

Verified by Experts

The correct Answer is:
D

`(e_(1))/(e_(2))=(F_(1))/(F_(2))xx(L_(1))/(L_(2))xx(r_(2)^(2))/(r_(1)^(2))`
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