The energy levels of a hypothetical one-electron atom are given by E_n=- 18.0 n^2

PHYSICS · Multi-part · A Level · Physics · Particles and radiation · Particles and radiation

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 (

\text{\AA}

) can be emitted when these atoms in the ground state are bombarded by electrons accelerated through a potential difference of

16.2\,\text{V}

? (d) If these atoms are in the ground state, can they absorb radiation having a wavelength of

2000\,\text{\AA}

? (e) What is the photoelectric threshold wavelength of this atom?

Related theory

Atomic Spectra
Atomic Models
Hydrogen spectral series
Atomic physics
Energy levels and line spectra of hydrogen
Atoms

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