Four uniform wires of the same material are stretched by the same force. The dimensions of wire are as given below. The one which has the minimum elongation has:

Options

A. radius 3 mm, length 3 m
B. radius 0.5 mm length 0.5 m
C. radius 2 mm,length 2 m
D. radius 3 mm, length 2 m

Answer

D

Explanation

`trianglel=(Fl)/(pir^2Y)impliestrianglelprop(l)/(r^2)`
Only option radius 3 mm length 2 m is satisfying the above relation.