Consider two different hydrogen atoms. The electron in each atom is in an excited state. Is it possible for the electrons to have different energies but the same orbital angular momentum according to the Bohr model?
From the angular momentum and energy formula of nth electron, we have,
,
Where n is nth orbit
h is Planck’s constant,
m is mass of electron
in permittivity in vacuum
and 
and 
is the angular momentum and energy of the electron in nth orbit
Clearly from above formula for orbital angular momentum and energy of orbital of electron, each nth orbit will have unique orbital angular momentum and energies. ∴ it is not possible for electron to have different energy but same orbital angular momentum.
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