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