A certain quantum system has allowed energies of 1.0 eV, 2.0 eV, 4.0 eV, and 7.0...

A certain quantum system has allowed energies of 1.0 eV, 2.0 eV, 4.0 eV, and 7.0 eV. What wavelengths appear in the system’s emission spectrum?

Solutions

Expert Solution

Energy of transition from 7 eV level to 4 eV : (7 - 4) eV = 3 eV

Energy of transition from 7 eV level to 2 eV : (7 - 2) eV = 5 eV

Energy of transition from 7 eV level to 1 eV : (7 - 1) eV = 6 eV

Energy of transition from 4 eV level to 2 eV : (4 - 2) eV = 2 eV

Energy of transition from 4 eV level to 1 eV : (4 - 1) eV = 3 eV

Energy of transition from 2 eV level to 1 eV : (2 - 1) eV = 1 eV

Wavelength of radiation with energy E can be given by,

Wavelength of tranisition with energy 6 eV would be,

Wavelength of tranisition with energy 5 eV would be,

Wavelength of tranisition with energy 3 eV would be,

Wavelength of tranisition with energy 2 eV would be,

Wavelength of tranisition with energy 1 eV would be,

genius_generous answered 1 year ago

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