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

QB_PH_055: Classical Mechanics - Module 4

Question Statement

For the canonical transformation generated by $F_2(q, P) = q P$, the transformation equations are:
(A) Q = q, \quad p = P
(B) Q = P, \quad p = q
(C) Q = -q, \quad p = -P
(D) Q = 0, \quad p = 0
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: $p = \partial F_2 / \partial q = P$ and $Q = \partial F_2 / \partial P = q$ (Identity transformation).
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