Question

Consider an electron confined in a one-dimensional infinite potential well having a width
of 0.4 nm. (a) Calculate the values of three longest wavelength photons emitted by the
electron as it transitions between the energy levels inside the well [3 pts.]. (b) When the
electron undergoes a transition from the n = 2 to the n = 1 level, what will be its emitted
energy and wavelength [2 pts.]. To which region of the electromagnetic spectrum does
this wavelength belong?

here are the constant and values provided

h = 6.62 × 10 -34 J – s; q = 1.602 × 10 -19 C; c = 3 × 10 8 m/s; ħ = h/2π; m e = 9.11 x 10 -31 kg; m p =
1.67 x 10 -27 kg; m n = 1.674929 x 10 -27 kg; 1 eV = 1.602 × 10 -19 J; 1 Å = 1 × 10 -10 m;
1 nm = 1 × 10 -9 m

Answer 1