Question

An electron is trapped in a square well of unknown width, L. It starts in unknown energy level, n. When it falls to level n-1 it emits a photon of wavelength λphoton = 2280 nm. When it falls from n-1 to n-2, it emits a photon of wavelength λphoton = 3192 nm.

1) What is the energy of the n to n-1 photon in eV?

En to n-1 =

2) What is the energy of the n-1 to n-2 photon in eV?

En-1 to n-2 =

3) What is the initial value of n?

ninitial =

4) What is the width, L, of the well in nm?

L =

5) What is the longest wavelength of light, λlongest, the well can absorb in nm?

λlongest =

Answer 1

(1) En to n-1 = 0.55 ev

(2) En-1 to n-2 = 0.389 ev

(3) ninitial =4

(4) L =483.676 ×10^-11 nm

(5) λlongest= 1773.33 nm

Step-by-step explanation:

Detailed explanation of answer is given in the attached files.