A particle executes simple harmonic oscillations with an amplitude

A Particle Executes Simple Harmonic Oscillations With An Amplitude A Physics Question

A particle executes simple harmonic oscillations with an amplitude a. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is

Options

(a) T/8
(b) T/12
(c) T/2
(d) T/4

Correct Answer:

T/12

Explanation:

Displacement from the mean position y = a sin(2π / T) t
According to the problem y = a/2
a/2 = a sin (2π / T) t
⇒ π / 6 = (2π / T) t ⇒ t = T / 12
This is the minimum time taken by the particle to travel half of the amplitude from the equilibrium position.

Related Questions:

  1. If a mass of 20g having charge 3.0 mC moving with velocity 20ms⁻¹ enters a region
  2. Out of the following which pair of quantities does not have same dimensions?
  3. A astronomical telescope has objective and eye-piece of focal lengths
  4. A juggler maintains four balls in motion,making each of them to rise
  5. If the velocity of charged particle has both perpendicular and parallel components

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Your email address will not be published.


*