Question Bank NAT • 2 Marks Section 4: Quantum Mechanics Schrodinger equation

QB_PH_094: Schrodinger equation

Question Statement

A particle in a 1D infinite square well ($0 \le x \le L$) has energy $E_n \propto n^2$. The ratio of the energy of the second excited state ($n=3$) to the ground state ($n=1$) is:
Correct Answer
9, 9
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: $E_3 / E_1 = 3^2 / 1^2 = 9$.
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