The displacement of a particle along the x-axis is given by x = a sin² ?t

The Displacement Of A Particle Along The Xaxis Is Given Physics Question

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:

  1. Two bullets are fired simultaneously, horizontally and with different speeds
  2. An electric motor operating on a 60 volt D.C supply draws a current of 10 amp.
  3. By sucking through a straw, a student can reduce the pressure of his lungs
  4. If a solid sphere of mass 1 kg and radius 0.1 m rolls without slipping at a uniform
  5. In Raman effect, Stoke’s lines are spectral lines having

Topics: Oscillations (58)
Subject: Physics (2479)

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

NEETLab Mobile App

Share this page with your friends

Be the first to comment

Leave a Reply

Your email address will not be published.


*