question_answer

An excited hydrogen atom emits a photon of wavelength K in returning to ground state, if R is the Rydberg constant, then the quantum number n of the excited state is

A)  \[\sqrt{\lambda R}\]                     

B)  \[\sqrt{\lambda R-1}\]

C)  \[\sqrt{\frac{\lambda R}{\lambda R-1}}\]            

D)  \[\sqrt{\lambda R(\lambda R-1)}\]

Correct Answer: C

Solution :

            \[\frac{1}{\lambda }=R\left[ \frac{1}{{{(1)}^{2}}}-\frac{1}{{{n}^{2}}} \right]\]