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There are two wires of same material and...

There are two wires of same material and same length while the diameter of second wire is 2 times the diameter of first wire, then ratio of extension produced in the wires by applying same load will be

A

`1:1`

B

`2:1`

C

`1:2`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
D
`(d_(2))/(d_(1))=2, Delta l= (Fl)/(AY) rArr Delta l prop (1)/(d^(2))`
`rArr (Delta l_(1))/(Delta l_(2))= (d_(2)^(2))/(d_(1)^(2))= (2)^(2)= 4:1`
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