Thank you for reporting, we will resolve it shortly
Q.
The wave number of the limiting line in Lyman series of hydrogen is 109678 $cm^{-1}$. The wave number of the limiting line in Balmer series of $He^{+}$
would be :
Series limit of Lyman series, $n_{1}=1 ; n_{2}=\infty$
$\therefore $ wave number is given by -
$ \bar{\gamma}=R\left[\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right]$
$ \left[\because R=109678 \,cm ^{-1}\right]$
$\Rightarrow \bar{\gamma}=109678\left[\frac{1}{12}-\frac{1}{\infty^{2}}\right] cm ^{-1} $.
$\Rightarrow \bar{\gamma}=109678[1-0] cm ^{-1} $.
$\Rightarrow \bar{\gamma}=109678\, cm ^{-1}$ .