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Q. If $E_i$ is the ionization energy of $H$ atom in ground state and $R$ is Rydberg constant, then they are related as

COMEDKCOMEDK 2010Atoms

Solution:

As $E_n = - \frac{Rhc}{n^2} $ or $E_1 = - Rhc \, \, $ (For $n=1$)
or $R = - \frac{E_i}{hc} \, \, \, \, \, (\because \, E_1 = E_i )$