Quantisation of Energy (CIE A Level Physics)

The lowest energy levels of a hydrogen atom are represented in Fig. 1.1. 

Fig 1.1

Identify the transition that produces a photon with frequency of 3.3 × 10¹⁶ Hz.

An excited hydrogen atom can emit photons of certain discrete frequencies in various regions of the electromagnetic spectrum. Three possible transitions are shown in Fig. 1.2.

 

Explain why the emitted photons in part (b) have certain discrete frequencies.

An electron in the hydrogen atom is ionised by a photon of light with frequency 5.2 × 10¹⁶ Hz. 

Calculate the kinetic energy of the ionised electron.

Transitions between three energy levels in a particular atom give rise to three spectral lines.

In decreasing magnitudes, these are related to the wavelengths, λ₁, λ₂, and λ₃,  

Use a diagram to show that the equation that relates λ₁, λ₂, and λ₃ is:

An atom has a ground state energy of −8.80 eV. The complete line emission spectra for this atom is shown in Fig. 1.1.