# Problem: What wavelengths (nm) appear in the system's emission spectrum?The allowed energies of a quantum system are 0.0 eV, 5.0 eV, and 8.5 eV.

###### FREE Expert Solution

Relationship between change in quantum energy and photon energy:

$\overline{){\mathbf{∆}}{\mathbf{E}}{\mathbf{=}}{\mathbf{h}}{\mathbf{f}}{\mathbf{=}}{\mathbf{h}}\frac{\mathbf{c}}{\mathbf{\lambda }}}$

Possible transitions are: 8.5 eV → 0.0 eV; 5.0 eV → 0.0eV; and 8.5eV → 5.0 eV.

Plank's constant, h = 6.63 × 10-34 J/s

Speed of light, c = 3.0 × 108 m/s

1 eV = 1.6 × 10-19 J

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###### Problem Details

What wavelengths (nm) appear in the system's emission spectrum?

The allowed energies of a quantum system are 0.0 eV, 5.0 eV, and 8.5 eV.