Oscillations - Result Question 13

«««< HEAD:content/english/neet-pyq-chapterwise/physics/oscillations/oscillations-result-question-13.md

16. The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

======= ####16. The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/oscillations/oscillations—result-question-13.md (a) $\pi$

(b) $0.707 \pi$

(c) zero

(d) $0.5 \pi$

[2007]

Show Answer

Answer:

Correct Answer: 16. (d)

Solution:

  1. (d) Let $y=A \sin \omega t$

$v _{\text{inst }}=\frac{d y}{d t}=A \omega \cos \omega t=A \omega \sin (\omega t+\pi / 2)$

Acceleration $=-A \omega^{2} \sin \omega t$

$=A \omega^{2} \sin (\pi+\omega t)$

$\therefore \phi=\frac{\pi}{2}=0.5 \pi$