NCERT · Class 11 · Physics · OscillationsWhich of the following differential equations correctly represents simple harmonic motion?
Step-by-Step Solution
The standard differential equation of SHM is $\frac{d^2x}{dt^2} + \omega^2 x = 0$, derived from $a = -\omega^2 x$.
Detailed Options Breakdown
Option : $\frac{d^2x}{dt^2} + \omega^2 x = 0$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $\frac{d^2x}{dt^2} - \omega^2 x = 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Oscillations.
Option 2: $\frac{dx}{dt} + \omega x = 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Oscillations.
Option 3: $\frac{d^2x}{dt^2} + \omega x = 0$
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.