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Properties of Matter question

2014 · Q139
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Properties of Matter question

2014 · Q139

NEETPhysicsProperties of MatterMCQ+4 / −1
Copper of fixed volume V is drawn into wire of length lll. When this wire is subjected to a constant force F, the extension produced in the wire is Δ\DeltaΔlll. Which of the following graphs is a straight line ?
  1. A
    Δ\DeltaΔlll versus 1/lll
  2. B
    Δ\DeltaΔlll versus lll2
  3. C
    Δ\DeltaΔlll versus 1/lll2
  4. D
    Δ\DeltaΔlll versus lll
View written solutionFree

Correct answer: B

From Young Modulus Y=Fl/AΔl=Fl/(V/l)ΔlY = Fl/A\Delta l = Fl/\left( {V/l} \right)\Delta lY=Fl/AΔl=Fl/(V/l)Δl

Now Δl=Fl2/VY\Delta l = F{l^2}/VYΔl=Fl2/VY

Also Δl∝l2\Delta l \propto {l^2}Δl∝l2

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