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The displacement of a particle along the x-axis is given by x = a sin² ?t. The motion of the particle corresponds is:
Options
(a) simple harmonic motion of frquency ? / π
(b) simple harmonic motion of frequency 3? / 2π
(c) non simple harmonic motion
(d) simple harmonic motion of frquency ? / 2π
Correct Answer:
simple harmonic motion of frquency ? / π
Explanation:
x = a sin² ?t = a/2 (1 – cos 2 ?t)
dx/ dt = 2? sin 2 ?t
⇒ d²x/ dt² = 4?ￂﾲa / 2 . cos 2 ?t
This represents an S.H.M. of frequency
? / π
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Topics: Oscillations
(58)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A parallel beam of fast moving electrons is incident normally on a narrow slit.
- The average power dissipated in a pure inductor is
- Water falls from a height of 60m at the rate of 15 kg/s to operate a turbine
- At what temperature will the rms speed of air molecules be double that of NTP?
- A stone of mass 1 kg tied to a light inexensible string of length L=10/3 is whirling
Topics: Oscillations (58)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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