Question

electron present in single electron specie jumps from level 3 to 1.emitted photons when passed through a sample containing excited He⁺ion causes further excitation to some higher energy level.Determine atomic number of single electron specie.

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{In}\mathrm{case}\mathrm{of}\mathrm{single}\mathrm{electron}\mathrm{specie}, \\ \mathrm{E}=-13.6\times {\mathrm{Z}}^2(\frac{1}{{{\mathrm{n}}_1}^2}-\frac{1}{{{\mathrm{n}}_2}^2}) \\ {\mathrm{n}}_1=3\mathrm{and}{\mathrm{n}}_2=1 \\ \mathrm{So},\mathrm{E}=-13.6\times {\mathrm{Z}}^2(\frac{1}{3^2}-\frac{1}{1^2})...\left(\mathrm{i}\right) \\ \mathrm{In}\mathrm{case}\mathrm{of}{\mathrm{He}}^{+} \\ \mathrm{E}=-13.6\times {\mathrm{Z}}^2(\frac{1}{{{\mathrm{n}}_1}^2}-\frac{1}{{{\mathrm{n}}_2}^2}) \\ \mathrm{So},\mathrm{E}=-13.6\times 2^2(\frac{1}{{{\mathrm{n}}_1}^2}-\frac{1}{{{\mathrm{n}}_2}^2})...\left(\mathrm{ii}\right) \\ \mathrm{Z}\mathrm{can}\mathrm{be}\mathrm{calculated}\mathrm{further}\mathrm{from}\left(\mathrm{i}\right)\mathrm{and}\left(\mathrm{ii}\right). \end{gathered}$$