Discuss photon energies produced in the transitions

Question

Discuss the below:

Modern physics: photon energies, wavelengths, oscillators, etc.

1. An atom of mass 2.66 ? 10-26 kg oscillates in one dimension at a frequency of 0.60 ? 1013 Hz. What is its effective forceconstant? What are its quantized energy levels?

2. A H2 molecule can be approximated by a simple harmonic oscillator having a spring constant k = 1.1 ? 103 N/m.

(a) How many different energy transitions are possible when the H2 molecule decays from the third excited state down to the ground state?

(b) Find the photon energies produced in these transitions and their wavelengths.

relative energy	transition energy	wavelengths
lowest	eV	nm
middle	eV	nm
highest	eV	nm

3. Let 10.0 eV electrons approach a potential barrier of height 4.4 eV.

(a) For what minimum barrier thickness is there no reflection?

(b) For what minimum barrier thickness is the reflection a maximum?