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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
- Water rises to a height h in a capillary at the surface of earth. On the surface
- Sodium and copper have work function 2.3 eV and 4.5 eV respectively
- Three identical spherical shells, each of mass m and radius r are placed
- Maximum velocity of the photoelectrons emitted by a metal surface is 1.2×10⁶ ms⁻¹.
- A wire of length 1 m is placed in a uniform magnetic field of 1.5 tesla at an angle
Topics: Oscillations (58)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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