- #1

phoenix95

Gold Member

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## Homework Statement

1000 neutral spinless particles are confined in a one-dimensional box of length 100 nm. At a given instant of time, if 100 of these particles have energy 4ε

_{0}and the remaining 900 have energy 225ε

_{0}, then the number of particles in the left half of the box will be approximately

(a) 441

(b) 100

(c) 500

(d) 625

## Homework Equations

## The Attempt at a Solution

Energies 4ε

_{0}and 225ε

_{0}correspond to E

_{2}and E

_{15}respectively, so I tried finding the expectation value for a single particle at these energy levels which turns out to be L/2 for both. But then I thought it is irrelevant for the problem, because I can't assign a single wave function to each of the particle and carry out the calculations.

Can anyone please help me?

Thanks