Bohr's atom model

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Question

Find the ratio of minimum to maximum wavelength of radiation emitted by electron in ground state of Bohr's hydrogen atom.

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Solution

Minimum wavelength is corresponding to transition from $\infty \to 1$ hence
$λ_{min} = \frac{12431}{13.6} Å$
and maximum wavelength is for transition 2 $\to$ 1
$\Rightarrow λ_{max} = \frac{12431}{10.2} Å \Rightarrow \frac{λ_{min}}{λ_{ma x}} = \frac{3}{4}$

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