A) \[24,630\text{ }c{{m}^{-1}}\]
B) \[~24,360\text{ }c{{m}^{-1}}\]
C) \[24,730\,\,c{{m}^{-1}}\]
D) \[24,372\,c{{m}^{-1}}\]
Correct Answer: D
Solution :
\[\bar{v}=R\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\] For Balmer series \[{{n}_{1}}=2\]and for 4th line in Balmer series \[{{n}_{2}}=6\] \[\because \] \[R=109677\,c{{m}^{-1}}\] \[\bar{v}=109677\left( \frac{1}{4}-\frac{1}{36} \right)\] \[=109677\left( \frac{1}{4}-\frac{1}{36} \right)\] \[\bar{v}=24,372\,c{{m}^{-1}}\]
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