The Poisson's ratio of a material is 0 5 If a force is applied to a wire of this - Physics - Mechanical Properties Of Solids

Question

The Poisson's 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-sectional
area by 4% The percentage increase in the length is?

Apurba Paul · Accepted Answer

Suppose r is the radius of the wire, now if area decreases by 4% that meanswe have4πr12=0
96×4πr2r1=0 96r=0
98rSo decrease in radius is 2%
 Hence the increase in length will be 20
5=4%

The Poisson's 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-sectional area by 4%. The percentage increase in the length is?