Question

A force f is required to break a copper wire of radius r. The necessary force required to break the copper wire of radius 2r will be :

Answer 1

Breaking Force = F/A
Let the force required for breaking 2r = F'

=> F/π r^2 = F'/π (2r)^2

=> F/π r^2 = F'/π 4r^2

=> F = F'/4

=> 4F = F'

or

=> F' = 4F

So required force to break is 4 times than Force F.


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Answer 2

Ans 4F. Use the formula breaking stress= breaking force / area.