A simple pendulum oscillating in air has a period of \(\sqrt3\) s. If it is completely immersed in non-viscous liquid, having density \(\Big(\frac14\Big)^{th}\) of the material of the bob, the new period will be:
1. \(2\sqrt3\) s
2. \(\frac{2}{\sqrt3}\) s
3. \(2\) s
4. \(\frac{\sqrt 3}{2}\) s
Subtopic:  Angular SHM |
From NCERT
NEET - 2023
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Two pendulums of length \(121\) cm and \(100\) 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 |
 68%
From NCERT
NEET - 2022
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NEET 2023 - Target Batch - Aryan Raj Singh
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NEET 2023 - Target Batch - Aryan Raj Singh

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/s2 at a distance of 5 m from the mean position. The time period of oscillation is:

1. 2π s 2. π s
3. 2 s 4. 1 s
Subtopic:  Angular SHM |
 84%
From NCERT
NEET - 2018
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NEET 2023 - Target Batch - Aryan Raj Singh
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Two spherical bobs of masses \(M_A\) and \(M_B\) are hung vertically from two strings of length \(l_A\) and \(l_B\) respectively. If they are executing SHM with frequency as per the relation \(f_A=2f_B,\) Then: 
1. lA=lB4

2. lA=4lB

3. lA=2lB & MA=2MB

4. lA=lB2 & MA=MB2

Subtopic:  Angular SHM |
 72%
From NCERT
AIPMT - 2000
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The frequency of a simple pendulum in a free-falling lift will be:
1. zero
2. infinite
3. can't say
4. finite

Subtopic:  Angular SHM |
 67%
From NCERT
AIPMT - 1999
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NEET 2023 - Target Batch - Aryan Raj Singh
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NEET 2023 - Target Batch - Aryan Raj Singh