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Question

How many elliptical orbits are added by Sommerfeld in third Bohr's orbit? What was the purpose of adding these elliptical orbits?

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Solution

Two elliptical orbits were added in third Bohr's orbit.
Purpose of adding was:
1) Failure of Bohr's model to account splitting of line spectra. In an attempt to account for line spectrum structure, Somerfield modified Bohr's atomic model by adding elliptical orbits.

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