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

QB_PH_035: Classical Mechanics - Module 4

Question Statement

For a 1D system with coordinate $q$ and conjugate momentum $p$, the Poisson bracket $\{q^2, p^3\}$ equals $k q p^2$. What is the integer $k$?
Correct Answer
6, 6
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: $\{q^2, p^3\} = \frac{\partial(q^2)}{\partial q} \frac{\partial(p^3)}{\partial p} - 0 = (2q)(3p^2) = 6 q p^2$.
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