Topic: Simple pendulum· Oscillations and Waves

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m/s^2 at a distance of 5 m from the mean position. The time period o…

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m/s$^2$ at a distance of 5 m from the mean position. The time period of oscillation is

1. $2\pi$ s

2. 2 s

3. $\pi$ s

4. 1 s

Doubtly Asked 30 Oct 2026 NEET UG 2018 Practice test neet Save WhatsApp Report

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Answer: 3. $\pi$ s

For SHM, $a=\omega^2x$.

$\omega^2=\dfrac{20}{5}=4\Rightarrow\omega=2\ \mathrm{rad\,s^{-1}}$.

$$T=\frac{2\pi}{\omega}=\pi\ \mathrm{s}$$

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

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A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m/s^2 at a distance of 5 m from the mean position. The time period o…

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