Question Bank MCQ • 1 Mark Section 2: Classical Mechanics Classical Mechanics - Module 4

QB_PH_058: Classical Mechanics - Module 4

Question Statement

Liouville's theorem states that for an ensemble of Hamiltonian systems, the phase space volume:
(A) Remains constant in time (incompressible flow)
(B) Decreases exponentially with time
(C) Increases monotonically
(D) Oscillates
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Phase space density satisfies $d\rho / dt = 0$.
← Prev (QB_PH_057) Next (QB_PH_059) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and official TCS iON calculator.

Launch CBT Mock Test