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Question:

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