Question Bank MCQ • 1 Mark Section 2: Classical Mechanics Central force problem

QB_PH_031: Central force problem

Question Statement

In a central gravitational potential $V(r) = -k/r$ ($k > 0$), what is the condition for a circular orbit?
(A) Total energy E is at the minimum of the effective potential V_{eff}(r)
(B) Total energy E = 0
(C) Total energy E > 0
(D) Angular momentum L = 0
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Circular orbits occur at the stable minimum of $V_{eff}(r)$ where $\frac{dV_{eff}}{dr} = 0$.
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