Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Quantum Chemistry – General · Exam: 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 $\left(\Delta_{1}\right)$, (ii) a 2-d square box $\left(\Delta_{2}\right)$, and (iii) a 3-d cubic box $\left(\Delta_{3}\right)$. 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
SELF-PRACTICE — the source book printed no answer.
Nothing is invented here, so this question has no answer on record.