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A wire is stretched 1 mm by a force of 1...

A wire is stretched `1 mm` by a force of `1 kN`. How far would a wire of the same material and length but of four times that diameter be stretched by the same force?

A

`1/2mm`

B

`1/4mm`

C

`1/8mm`

D

`1/16mm`

Text Solution

Verified by Experts

The correct Answer is:
D
`Y=(Fl)/(a/_\l)`
`Y, l` and `F` are constants
`:. (/_\l_(2))/(/_\l_(1))=(D_(1)^(2))/(D_(2)^(2))=1/16`
`:. /_\l_(2)=1/16mm`
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