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Question: Answered & Verified by Expert
A wire fixed at the upper end stretches by length by applying a force F. The work done in stretching is
PhysicsWork Power EnergyJEE MainJEE Main 2004
Options:
  • A
    $\mathrm{F} / 2$
  • B
    $\mathrm{F} \ell$
  • C
    $2 \mathrm{~F} \ell$
  • D
    $\mathrm{F} \ell / 2$
Solution:
1251 Upvotes Verified Answer
The correct answer is:
$\mathrm{F} \ell / 2$
Work done $=\frac{1}{2} \mathrm{kx}^2=\frac{1}{2} \mathrm{k} \ell^2$ where $\ell$ is the total extensions.
$$
=\frac{1}{2}(\mathrm{k} \ell) \ell=\frac{1}{2} \mathrm{~F} \ell
$$

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