A) \[\sqrt{\lambda R(\lambda R-1)}\]
B) \[\sqrt{\frac{\lambda R-1}{\lambda R}}\]
C) \[\sqrt{\frac{\lambda R}{\lambda R-1}}\]
D) \[\sqrt{\lambda (R-1)}\]
Correct Answer: C
Solution :
Energy of photon \[E=Rhc\left( 1-\frac{1}{{{n}^{2}}} \right)\] or \[\frac{hc}{\lambda }=Rhc\left( 1-\frac{1}{{{n}^{2}}} \right)\] or \[\frac{1}{\lambda }=R\left( 1-\frac{1}{{{n}^{2}}} \right)\] or \[\frac{1}{\lambda R}=1-\frac{1}{{{n}^{2}}}\] or \[\frac{1}{{{n}^{2}}}=1-\frac{1}{\lambda R}\] or \[=\frac{(\lambda R-1)}{\lambda R}\] or \[n=\sqrt{\lambda R/(\lambda R-1)}\]
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