A simple pendulum oscillating in air has a period of \(\sqrt3\) s. If it is completely immersed in non-viscous liquid, having density \(\left(\dfrac14\right)^{\text{th}}\) of the material of the bob, the new period will be:
1. \(2\sqrt3\) s 2. \(\dfrac{2}{\sqrt3}\) s
3. \(2\) s 4. \(\dfrac{\sqrt 3}{2}\) s
Subtopic:  Angular SHM |
 54%
Level 3: 35%-60%
NEET - 2023
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Two pendulums of length \(121~\text{cm}\) and \(100~\text{cm}\) start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is: 
1. \(8\) 2. \(11\)
3. \(9\) 4. \(10\)
Subtopic:  Angular SHM |
 71%
Level 2: 60%+
NEET - 2022
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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 \(20\text{ m/s}^2\) at a distance of \(5\text{ m}\) from the mean position. The time period of oscillation is:
1. \(2\pi \text{ s}\)
2. \(\pi \text{ s}\)
3. \(2 \text{ s}\)
4. \(1 \text{ s}\)

Subtopic:  Angular SHM |
 86%
Level 1: 80%+
NEET - 2018
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