Number of spectral lines obtained in spectra, when an electron makes transition from fifth excited state to first excited state will be

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Solution

Q.
Number of spectral lines obtained in $H e^{+}$ spectra, when an electron makes transition from fifth excited state to first excited state will be _______ . [2024]

Ans.
(10)

Fifth excited state means sixth shell and first excited state means second shell. Thus transition is from 6th to 2nd shell. Number of spectral lines when electrons make transition from $n_{2}$ energy level to $n_{1}$ energy level in a sample of gas atoms is:

$\frac{(n_{2} - n_{1}) (n_{2} - n_{1} + 1)}{2} = \frac{(6 - 2) (6 - 2 + 1)}{2} = 10$

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