Question Bank MCQ • 2 Marks Section 2: Classical Mechanics Small oscillations

QB_PH_036: Small oscillations

Question Statement

Two identical masses $m$ connected by three identical springs of stiffness $k$ between fixed walls have normal mode frequencies $\omega_1$ and $\omega_2$. The ratio $\omega_2 / \omega_1$ is:
(A) \sqrt{3}
(B) 2
(C) \sqrt{2}
(D) 3
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: $\omega_1 = \sqrt{k/m}$ and $\omega_2 = \sqrt{3k/m}$. The ratio is $\sqrt{3}$.
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