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NEET 2014
Exam
NEET
Year
2014
Subject
Physics
Chapter
Mechanical Properties of Solids

NEET 2014 · Physics · Mechanical Properties of Solids

Copper of fixed volume V is drawn into wire of length l . When this...

Copper of fixed volume VV is drawn into wire of length ll. When this wire is subjected to a constant force F,F, the extension produced in the wire is ∆l.∆ l . Which of the following graph is a straight line?

Options

  1. A∆l∆ l versus 1/l1 / l
  2. B∆l∆ l versus l2{l}^{2}
  3. C∆l∆ l versus 1/l21 / {l}^{2}
  4. D∆l∆ l versus ll

Correct answer

B. ∆l∆ l versus l2{l}^{2}

Step-by-step solution

V=AlV = Al
Y=F/A∆llY = \dfrac{F / A}{\dfrac{∆ l}{l}}
Y∆ll=FA\dfrac{Y ∆ l}{l} = \dfrac{F}{A}
∆l=FlYA=FY.llV∆ l = \dfrac{Fl}{YA} = \dfrac{F}{Y} . \dfrac{ll}{V}
∆l=FYVl2∆ l = \dfrac{F}{YV}{l}^{2}
∆l∝l2∆ l ∝ {l}^{2}
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