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Emission and Absorption Spectra

How many Balm...

Question

How many Balmer spectral lines will be obtained when the excited electrons return from $8$ th shell to $2$ nd shell?

A

21

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B

4

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C

10

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D

15

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Solution

The correct option is A $21$
No of spectra lines $= \frac{(n_{2} - n_{1}) (n_{2} - n_{1} + 1)}{2}$ $8 t h$ shell to $2 n d$ shell
$= \frac{(8 - 2) (8 - 2 + 1)}{2}$ $n_{2} = 8$ $n_{1} = 2$
$= 3 (7)$
$= 21$

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