(a) A quantum dot can be modelled as an electron trapped in a cubic three-dimensional infinite square well. Calculate the wavelength of the electromagnetic radiation emitted when an electron makes a transition from the third lowest energy level, E3, to the lowest energy level, E₁, in such a well. Take the sides of the cubic box to be of length L=3.2 x 10-8 m and the electron mass to be me = 9.11 x 10-³1 kg. (b) Specify the degree of degeneracy for each of the E₁ and E3 energy levels, explaining your reasoning.

(a) A quantum dot can be modelled as an electron trapped in a cubic three-dimensional infinite square well. Calculate the wavelength of the electromagnetic radiation emitted when an electron makes a transition from the third lowest energy level, E3, to the lowest energy level, E₁, in such a well. Take the sides of the cubic box to be of length L=3.2 x 10-8 m and the electron mass to be me = 9.11 x 10-³1 kg. (b) Specify the degree of degeneracy for each of the E₁ and E3 energy levels, explaining your reasoning.