Two pendulums suspended from the same point have lengths of \(2\) m and \(0.5\) m. If they are displaced slightly and released, then they will be in the same phase when the small pendulum has completed:
1. \(2\) oscillations
2. \(4\) oscillations
3. \(3\) oscillations
4. \(5\) oscillations

Subtopic:  Simple Harmonic Motion |
 69%
Level 2: 60%+
AIPMT - 1998
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If the time of mean position from amplitude (extreme) position is \(6\) seconds, then the frequency of SHM will be:
1. \(0.01~\text{Hz}\) 2. \(0.02~\text{Hz}\)
3. \(0.03~\text{Hz}\) 4. \(0.04~\text{Hz}\)
Subtopic:  Simple Harmonic Motion |
 70%
Level 2: 60%+
AIPMT - 1998
Hints

Which one of the following statements is true for the speed \(v\) and the acceleration \(a\) of a particle executing simple harmonic motion?
1. The value of \(a\) is zero whatever may be the value of \(v\).
2. When \(v\) is zero, \(a\) is zero.
3. When \(v\) is maximum, \(a\) is zero.
4. When \(v\) is maximum, \(a\) is maximum. 
Subtopic:  Simple Harmonic Motion |
 88%
Level 1: 80%+
AIPMT - 2004
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