A electron of hydrogen atom in an excited state is having energy . The maximum number of allowed transitions to lower energy level is

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Solution

Q.
A electron of hydrogen atom in an excited state is having energy $E_{n} = - 0.85$ $e V$ . The maximum number of allowed transitions to lower energy level is ______ . [2024]

Ans.
(6) $E_{n} = - \frac{13.6}{n^{2}} = - 0.85 \Rightarrow n = 4$

$Number of transitions = \frac{n (n - 1)}{2} = \frac{4 (4 - 1)}{2} = 6$

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