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Emission and Absorption Spectra

An electron i...

Question

An electron in the hydrogen atom is excited from $1^{s t}$ orbit to $5^{t h}$ orbit. The number of spectral lines the element is expected to emit :

A

5

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B

4

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C

10

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D

12

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Solution

The correct option is C 10
The element is present in $5^{t h}$ orbit, thus $n = 5$
The number of spectral lines $= \frac{n (n - 1)}{2}$
$= \frac{5 (5 - 1)}{2} = \frac{20}{2} = 10$

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