Question Bank › Physical Chemistry › Atomic Structure › ABC26PH0283A particle is confined to a one-dimensional box of length 1 mm. If the length is changed by 10⁻⁹ m, the%… · ABC26PH0283 Subject: Physical Chemistry · Chapter: Atomic Structure · Topic: Atomic Structure – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium
A particle is confined to a one-dimensional box of length 1 mm . If the length is changed by $10^{-9} \mathrm{m}$, the \% change in the ground state energy is
(a) $2 \times 10^{-4}$
(b) $2 \times 10^{-7}$
(c) $2 \times 10^{-2}$
(d) 0
Answer Answer: A ✓ checked by 4AB · confidence high
Explanation E ∝ 1/L²: ΔE/E = −2ΔL/L = 2×10⁻⁶ = 2×10⁻⁴ % (a).
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