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Question: Answered & Verified by Expert
If a simple harmonic motion is represented by $\frac{\mathrm{d}^2 \mathrm{x}}{\mathrm{dt}^2}+\alpha \mathrm{x}=0$, its time period is
PhysicsOscillationsJEE MainJEE Main 2005
Options:
  • A
    $\frac{2 \pi}{\alpha}$
  • B
    $\frac{2 \pi}{\sqrt{\alpha}}$
  • C
    $2 \pi \alpha$
  • D
    $2 \pi \sqrt{\alpha}$
Solution:
2532 Upvotes Verified Answer
The correct answer is:
$\frac{2 \pi}{\sqrt{\alpha}}$
$\omega^2=\alpha$
$\omega=\sqrt{\alpha}$
$T=\frac{2 \pi}{\sqrt{\alpha}}$

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