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All the elect...

Question

All the electrons in a sample of the hydrogen atom are excited to n = 7 level. The number of emission spectral lines possible are:

A

12

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B

15

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C

21

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D

18

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Solution

The correct option is D 21
The transition of an electron from n $= 7$ to n $= 1$ energy level gives a unique emission spectral line.

Therefore, the number of emission spectral lines $= \frac{(n_{2} - n_{1}) (n_{2} - n_{1} + 1)}{2}$ .

$= \frac{(7 - 1) (7 - 1 + 1)}{2}$

$= 21$

Hence, option C is correct.

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