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Line Spectra

Each hydrogen...

Question

Each hydrogen atom is excited by giving 10.2eV. The maximum number of spectral lines in the emission is equal to:

A

1

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B

2

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C

3

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D

4

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Solution

The correct option is A $1$
$E \propto \frac{Z^{2}}{n^{2}}$
Energy of the $2^{n d}$ orbit $= \frac{- 13.6}{4} e v = - 3.4 e v$
$Δ E_{2, 1} = 10.2 e v$
So, only possible transition is from $n = 2 t o n = 1$

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