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 ∆l. Which of the following graphs is a straight line?
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a
∆l versus 1l
b
∆l versus l2
c
∆l versus 1l2
d
∆l versus l
answer is B.
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Detailed Solution
Young's modulus Y = StressStrainor Y = FA∆ll = FlA∆l⇒ ∆l = FlAY-------(i)The volume of wire V = Alor A = VlSubstituting the value of A from (ii) in equation (i) We get ∆l ∞ l2Hence the graph of ∆l versus l2 will give a straight line.