The minimum energy required by a hydrogen atom in ground state to emit radiation in Balmer series is nearly

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Solution

Q.
The minimum energy required by a hydrogen atom in ground state to emit radiation in Balmer series is nearly [2024]

1 1.5 eV

2 13.6 eV

3 1.9 eV

4 12.1 eV

Ans.
(4)

$Transition from n \to 1 to n \to 3$

$E = 13.6 \times Z [\frac{1}{n_{2}^{2}} - \frac{1}{n_{1}^{2}}]$

$= 13.6 \times 1 \times [\frac{1}{1} - \frac{1}{9}]$

$= 13.6 \times \frac{8}{9} = 12.1 eV$

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