Question

the poisons ratio of a material is 0.5 if a force is applied to a wire of this material there is a decrease in the cross section area by 4% the percentage increase in the length

Answer 1

Suppose r is the radius of the wire, now if area decreases by 4% that meanswe have4πr12=0.96×4πr2r1=0.96−−−−√r=0.98rSo decrease in radius is 2%. Hence the increase in length will be 20.5=4%