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The diameters of two wires of same mater...

The diameters of two wires of same material is `n:1`. The length of wires is 4 m each. On applying the same load, the increase in length of this wire will be

A

`n^(2)` times

B

n times

C

2n times

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
`(d_(1))/(d_(2))= n, l_(1)= l_(2)= 4m`
`Delta l prop (1)/(d^(2)) rArr (Delta l_(1))/(Delta l_(2)) = ((d_(2))/(d_(1)))^(2)= ((1)/(n))^(2) = (1)/(n^(2)) therefore Delta l_(2)= n^(2) Delta l_(1)`
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