Q87 · CSIR NET Chemistry, June 2013
Paper: CSIR NET June 2013 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Quantum Chemistry – General · Marks: 2 · Difficulty: Medium
For the particle-in-a-box problem in $(0, L)$ an approximate wave function is given as $x(L/2 - x)(L - x)$. The average energy $\bar{E}$ for such a state will obey
(a)$\frac{h^2}{8mL^2} < \bar{E} < \frac{h^2}{2mL^2}$
(b)$\bar{E} > \frac{h^2}{2mL^2}$
(c)$\frac{h^2}{4mL^2} < \bar{E} < \frac{h^2}{2mL^2}$
(d)$0 < \bar{E} < \frac{h^2}{8mL^2}$
Answer
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Explanation
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