A photon is emitted in transition from to level in hydrogen atom. The corresponding wavelength for this transition is (given, eV s) [2023]

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Solution

Q.
A photon is emitted in transition from $n = 4$ to $n = 1$ level in hydrogen atom. The corresponding wavelength for this transition is (given, $h = 4 \times 10^{- 15}$ eV s) [2023]

1 941 nm

2 974 nm

3 99.3 nm

4 94.1 nm

Ans.
(4)

$\frac{h c}{λ} = + 13.6 eV [\frac{1}{1} - \frac{1}{4^{2}}]$

$\Rightarrow \frac{4 \times 10^{- 15} \times 3 \times 10^{- 8}}{λ} = 13.6 [\frac{15}{16}]$

$So, λ = 94.1 nm$

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