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NEET 2013
Exam
NEET
Year
2013
Subject
Physics
Chapter
Mechanical Properties of Solids

NEET 2013 · Physics · Mechanical Properties of Solids

The following four wires are made of the same material. Which of...

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

Options

  1. ALength =50 cm=50 \mathrm{~cm}, diameter =0.5 mm=0.5 \mathrm{~mm}
  2. BLength =100 cm=100 \mathrm{~cm}, diameter =1 mm=1 \mathrm{~mm}
  3. CLength =200 cm=200 \mathrm{~cm}, diameter =2 mm=2 \mathrm{~mm}
  4. DLength =300 cm=300 \mathrm{~cm}, diameter =3 mm=3 \mathrm{~mm}

Correct answer

A. Length =50 cm=50 \mathrm{~cm}, diameter =0.5 mm=0.5 \mathrm{~mm}

Step-by-step solution

\Delta L=\frac{F L}{A Y}oror\Delta L \propto \frac{L}{d^2} \quad[∵A=πd24]\left[\because A=\frac{\pi d^2}{4}\right] Therefore, Δ\Delta will be maximum for that wire which LA\frac{L}{A} is maximum, so option (1) is correct.
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