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Oscillations question

2020 · Q126
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Oscillations question

2020 · Q126

NEETPhysicsOscillationsMCQ+4 / −1
The phase difference between displacement and acceleration of a particle in a simple harmonic motion is :
  1. A
    3π2rad{{3\pi } \over 2}rad23π​rad
  2. B
    π2rad{\pi \over 2}rad2π​rad
  3. C
    zero
  4. D
    π\piπ rad
View written solutionFree

Correct answer: D

Displacement, y = A.sin ω\omega ω t
Velocity, υ\upsilon υ = dydtAω.cos⁡ωt{{dy} \over {dt}}A\omega .\cos \omega tdtdy​Aω.cosωt
Acceleration, a = −Aω2.sin⁡ωt - A{\omega ^2}.\sin \omega t−Aω2.sinωt
=Aω2.sin⁡(ωt+π) = A{\omega ^2}.\sin \left( {\omega t + \pi } \right)=Aω2.sin(ωt+π)
So the phase difference between y and a is π\pi π.

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