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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 body with mass 5 kg is acted upon a force F=(-3i+4j) N.If its initial velocity at
- Maximum velocity of the photoelectrons emitted by a metal surface is 1.2×10⁶ ms⁻¹.
- A uniform force of (3i+j) Nacts on a particle of mass 2 kg.Hence the particle is displaced
- Two bubbles A and B (A>B) are joined through a narrow tube. Then
- When a Daniel cell is connected in the secondary circuit of a potentiometer,
Topics: Oscillations (58)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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