What is the width of the potential well?

Question

An electron is trapped in a one-dimensional infinite well and is in its first excited state. The five longest wavelengths of light that the electron could absorb in transitions from this initial state via a single photon absorption: λa = 44.58 nm, λb = 18.57 nm, λc = 10.61 nm, λd = 6.97 nm, and λe = 4.95 nm. What is the width of the potential well?

Answer 1

If it is a one-dimensional infinite well, the width is 0.

If it is a square well,

44.58 = 7.43*3*2

18.57 = 6.19*3

10.61 = 10.61

6.97 = 0.41*17

4.95 = 0.11*5*3*3

Since there is no LCM the width must be

0.000792613615840299 m