Easy MCQ +4 / -1 PYQ · JEE Mains 2023

A 100 m long wire having cross-sectional area $\mathrm{6.25\times10^{-4}~m^2}$ and Young's modulus is $\mathrm{10^{10}~Nm^{-2}}$ is subjected to a load of 250 N, then the elongation in the wire will be :

  1. A $\mathrm{6.25\times10^{-6}~m}$
  2. B $\mathrm{4\times10^{-3}~m}$ Correct answer
  3. C $\mathrm{4\times10^{-4}~m}$
  4. D $\mathrm{6.25\times10^{-3}~m}$

Solution

Elongation in wire $\delta=\frac{\mathrm{F} \ell}{\mathrm{AY}}$<br/><br/> $$ \begin{aligned} & \delta=\frac{250 \times 100}{6.25 \times 10^{-4} \times 10^{10}} \\\\ & \delta=4 \times 10^{-3} \mathrm{~m} \end{aligned} $$

About this question

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

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