Easy MCQ +4 / -1 PYQ · JEE Mains 2022

The force required to stretch a wire of cross-section $1 \mathrm{~cm}^{2}$ to double its length will be : (Given Yong's modulus of the wire $=2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$)

  1. A $1 \times 10^{7} \mathrm{~N}$
  2. B $1.5 \times 10^{7} \mathrm{~N}$
  3. C $2 \times 10^{7} \mathrm{~N}$ Correct answer
  4. D $2.5 \times 10^{7} \mathrm{~N}$

Solution

<p>$A = 1$ cm<sup>2</sup></p> <p>$Y = {{Fl} \over {A\Delta l}}$</p> <p>$$F = {{YA\Delta l} \over l} = {{2 \times {{10}^{11}} \times {{10}^{ - 4}} \times l} \over l}$$</p> <p>$= 2 \times {10^7}$ N</p>

About this question

Subject: Physics · Chapter: Properties of Solids and Liquids · Topic: Elasticity

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