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

QB_PH_049: Small oscillations

Question Statement

Which of the following statements is/are TRUE regarding normal modes of small oscillations?
(A) The Lagrangian separates into uncoupled 1D harmonic oscillators in normal coordinates
(B) Each normal coordinate vibrates with a single characteristic frequency
(C) Energy cannot be transferred between normal modes in the linear approximation
(D) Normal coordinates are always identical to the Cartesian coordinates
Correct Answer
A, B, C
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Normal coordinates decouple the quadratic forms of kinetic and potential energy.
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