Problem

The energy levels of a hypothetical one electron atom are given by

E_n = -\frac{18.0}{n^2} \text{ eV}

where

n = 1, 2, 3, \dots

(a) Compute the four lowest energy levels and construct the energy level diagram. (b) What is the first excitation potential (c) What wavelengths (Å) can be emitted when these atoms in the ground state are bombarded by electrons that have been accelerated through a potential difference of 16.2 V? (d) If these atoms are in the ground state, can they absorb radiation having a wavelength of 2000 Å? (e) What is the photoelectric threshold wavelength of this atom?

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