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## Homework Statement

a. Electrons and neutrons are fermions. Put 12 of them (6 each) in a box, and determine the

*n*value for the ones with the highest energy.

b. Do the same for 12 bosons (6 are pi zero bosons and 6 are alpha particles).

## Homework Equations

E

_{n}= (h

^{2}n

^{2})/(8mL

^{2})

## The Attempt at a Solution

I'm not even sure how to approach this problem. What is it asking? How do I know which have the highest energy? (Neutrons in general have a higher rest energy than electrons, but I don't know if that's at all relevant.)

My only hunch is that the Pauli Exclusion Principle is involved (like I could have 2 electrons in ground state, 2 in n=2 state, 2 in n=3 state, etc. but that doesn't seem like what the question is asking).