A particle is in a one-dimensional box with a potential Vo inside the box and infinite outside. An energy… · ABC26PH1270
Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Quantum Chemistry – General · Exam: CSIR NET JUNE 2014 · Marks: 2 · Difficulty: Medium
A particle is in a one-dimensional box with a potential Vo inside the box and infinite outside. An energy state corresponding to $\mathrm{n}=0$ ( $\mathrm{n}=$ quantum number) is not allowed because
(a)the total energy becomes zero
(b)the average momentum becomes zero
(d)the potential $\mathrm{V}_{0} \neq 0$
(c)the wave function becomes zero everywhere
Answer
Answer: C ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
ψ = √(2/L) sin(nπx/L) is zero everywhere for n = 0, so it describes no particle (c).