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

QB_PH_103: Schrodinger equation

Question Statement

For a rectangular potential barrier of height $V_0 > E$ and width $a$, the transmission coefficient $T$ for $\kappa a \gg 1$ is proportional to:
(A) e^{-2\kappa a}
(B) e^{-\kappa a}
(C) 1 / (\kappa a)
(D) e^{-4\kappa a}
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Tunneling probability decays exponentially as $e^{-2\kappa a}$.
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