Compare the difference of energies of the first excited and ground states of a particle confined in (i) a 1-d… · ABC26PH1267
Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Quantum Chemistry – General · Exam: CSIR NET JUNE 2014 · Marks: 2 · Difficulty: Hard
Compare the difference of energies of the first excited and ground states of a particle confined in (i) a 1-d box $(\Delta_1)$, (ii) a 2-d square box $(\Delta_2)$, and (iii) a 3-d cubic box $(\Delta_3)$. Assume the length of each of the boxes is the same. The correct relation between the energy differences $\Delta_1$, $\Delta_2$ and $\Delta_3$ for the three states is
(a)$\Delta_1 > \Delta_2 > \Delta_3$
(b)$\Delta_1 = \Delta_2 = \Delta_3$
(c)$\Delta_3 > \Delta_2 > \Delta_1$
(d)$\Delta_3 > \Delta_1 > \Delta_2$
Answer
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