NCERT · Class 11 · Physics · OscillationsThe phase difference between displacement and velocity of a particle executing Simple Harmonic Motion is:
Step-by-Step Solution
If displacement $x = A \sin(\omega t)$, then velocity $v = \frac{dx}{dt} = A\omega \cos(\omega t) = A\omega \sin\left(\omega t + \frac{\pi}{2}\right)$. Thus, velocity leads displacement in phase by $\pi/2$ radians or $90^\circ$.
Detailed Options Breakdown
Option : 0
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Oscillations.
Option 1: $\pi/4$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Oscillations.
Option 2: $\pi/2$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $\pi$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Oscillations.
💡 Study Guide: This question tests core syllabus concepts from Oscillations. For formulas, key summaries, and mock exam reference guides, read the full Oscillations Revision Notes.