An excited hydrogen atom emits a photon of wavelength $\text{'}\mathrm{\lambda }\text{'}$ in returning to the ground state. If $\text{'}\mathrm{R}\text{'}$ is the Rydberg's constant, then the quantum number $\mathbf{\text{'}}\mathbf{n}\mathbf{\text{'}}$ of the excited state is -

1. A

$\sqrt{\mathrm{\lambda R}}$

2. B

$\sqrt{\mathrm{\lambda R}-1}$

3. C

$\sqrt{\frac{\mathrm{\lambda R}}{\mathrm{\lambda R}-1}}$

4. D

$\sqrt{\mathrm{\lambda R}\left(\mathrm{\lambda R}-1\right)}$

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