Q3) Prove that the 2D nanostructures (quantum well ) density of states for free electrons given by: \[ g_{2 D}(E)=\frac{m}{\pi \hbar^{2}} \] Q4) Calculate the 2D density of states for free electrons with energy 0.1eV. Consider only the lowest subband. Express your answer in eV and cm^3 units.
