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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Mechanical Properties of Solids

NEET 2024 · Physics · Mechanical Properties of Solids

The maximum elongation of a steel wire of 1 m length if the elastic...

The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young's modulus, respectively, are 8×108 N m−28 \times 10^8 \mathrm{~N} \mathrm{~m}^{-2} and 2×1011 N m−22 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}, is:

Options

  1. A0.4 mm
  2. B40 mm
  3. C8 mm
  4. D4 mm

Correct answer

D. 4 mm

Step-by-step solution

In the case for maximum elongation, Stress = Elastic limit δmax⁡=σelastic ×L Young’s modulus =8×108×12×1011=4×10−3=4mm\begin{aligned} \delta_{\max }=\frac{\sigma_{\text{elastic }} \times L}{\text{ Young's modulus }}=\frac{8 \times 10^8 \times 1}{2 \times 10^{11}} & =4 \times 10^{-3} \\ & =4 \mathrm{ mm} \end{aligned} i.e. maximum elongation is 4 mm
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