Copper of fixed volume 'V' is drawn into wire of length 'l'. When this wire is subjected to a constant force 'F', the extension produced in the wire is Δl. Which of the following graph is a straight line?
Δl vs l²
Δl vs l
Δl vs 1/l
Δl vs 1/l²
Solution:
V = Al (standard result) Y = F/AΔl/l (standard formula) YΔl/l = FA Δl = Fl/YA = FlV/Yl² Δl ∝ 1/l²