ExamBro
ExamBro
COMEDK · Physics · 15. Oscillations

The phase difference between displacement and velocity of a particle in simple harmonic motion is

  1. A \(\pi \mathrm{~rad}\)
  2. B \(3 \pi / 2 \mathrm{~rad}\)
  3. C zero
  4. D \(\pi / 2 \mathrm{~rad}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\pi / 2 \mathrm{~rad}\)

Step-by-step Solution

Detailed explanation

The displacement of a particle in simple harmonic motion is given by \(x(t) = A \sin(\omega t + \phi)\). The velocity of the particle is the time derivative of displacement, \(v(t) = \dfrac{dx}{dt} = A \omega \cos(\omega t + \phi)\). Using the trigonometric identity…