What is the maximum wavelength line in the Lyman series of $\mathrm{He}^{+}$ ion?

What is the maximum wavelength line in the Lyman series of $\mathrm{He}^{+}$ ion?
  1. $3 \mathrm{R}$
  2. $\frac{4}{4 \mathrm{R}}$
  3. $\frac{1}{3 R}$
  4. None of these

Solution

$\frac{1}{\lambda}=\mathrm{RZ}^{2}\left[\frac{1}{\mathrm{n}_{1}^{2}}-\frac{1}{\mathrm{n}_{2}^{2}}ight]=\mathrm{R} \times 2^{2}\left[\frac{1}{1^{2}}-\frac{1}{2^{2}}ight].$
$\Rightarrow 3 \mathrm{R} ; \lambda=\frac{1}{3 \mathrm{R}}$

Asked in: JEE-TOPICTESTS-CHEMISTRY

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