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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
Related Questions: - Out of the following which pair of quantities does not have same dimensions?
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Subject: Physics
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Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Out of the following which pair of quantities does not have same dimensions?
- The mean free path of molecules of a gas,(radius ‘r’) is inversely proportional to
- When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid
- Graph of force per unit length between two long parallel current carrying
- A series combination of n₁ capacitors, each of value C₁, is charged by a source
Topics: Oscillations (58)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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