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  4. How many different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are excited to the third excited state?

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Q. How many different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are excited to the third excited state?

NTA AbhyasNTA Abhyas 2022

Solution:

The number of possible transitions is given by the following formula:
$N=\frac{n \left(n - 1\right)}{2}$
For the third excited state, $n=4$
$\therefore N=\frac{4 \left(4 - 1\right)}{2}=6$