A) \[\frac{16}{R}\]
B) \[\frac{16}{3R}\]
C) \[\frac{16}{5R}\]
D) \[\frac{16}{7R}\]
Correct Answer: B
Solution :
Wavelength of lines emitted is \[\frac{1}{\lambda }\] \[\frac{1}{\lambda }=R\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\] Where \[R\] Rydberg?s constant. Given, \[{{n}_{1}}=2,\,{{n}_{\,2}}=4\] \[\therefore \] \[\frac{1}{\lambda }=R\left( \frac{1}{{{2}^{2}}}-\frac{1}{{{4}^{2}}} \right)=\frac{3R}{16}\] \[\Rightarrow \] \[\lambda =\frac{16}{3\,R}\]You need to login to perform this action.
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