IIT JAM & CSIR NET - Chemical Sciences

Chemical Thermodynamics & Kinetics question bank (Physical Chemistry, Quantum & Thermodynamics)

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Q1.
[Physical Chemistry, Quantum & Thermodynamics Problem #2] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = ħ^2 k^2 / (4 m L)
(B)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(C)
E_n = (n + 1/2) ħ ω
(D)
E_n = (n^2 ħ^2) / (8 m L^2)
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Q2.
[Physical Chemistry, Quantum & Thermodynamics Problem #4] Regarding energy eigenvalues of a particle of mass m in a 1D infinite potential well of width L: Which of the following analytical formulations is correct?

(A)
E_n = (n^2 ħ^2) / (8 m L^2)
(B)
E_n = (n^2 π^2 ħ^2) / (2 m L^2), where n = 1, 2, 3...
(C)
E_n = (n + 1/2) ħ ω
(D)
E_n = ħ^2 k^2 / (4 m L)
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