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Copper of fixed volume 'V' is drawn into wire of length 'l'. When this wires is subjected to a constant force 'F', the extension produced in the wire is 'Δl '. which of the following graphs is a straight line?

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Δl versus l²

Δl versus 1/l²

Δl versus l

Δl versus 1/l

answer is A.

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Detailed Solution

$Y = \frac{FL}{A ∆ l};$ V = AL = const
$Y = \frac{{FL}^{2}}{V ∆ l} \Rightarrow ∆ L = \frac{F}{VY} \times L^{2} \Rightarrow ∆ L \propto L^{2}$

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