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## Homework Statement

A quantum well is doped with electrons such that if it had one only one confined sub-band the Fermi energy would be 50meV. In reality the quantum well has two sub-bands with energy separation between the bottoms of the sub-bands of 30meV. Deduce what are the resultant occupancies of each sub-band in meV

## Homework Equations

E_f=hbar

^{2}* π / (m*)[/B]

## The Attempt at a Solution

I tried to use the fermi energy equation to figure out where to go with it but just ended up solving for the electron density which I'm told is not the correct way. Other than that I'm pretty stuck on where to start.

I know I need to use the 50meV value or it wouldnt have been in the question but not sure how.

Thanks