Atomic StructureHard

Question

The wavelength of first line of Lyman series of H-atom is 1216 Å. What will be the wavelength of first line of Lyman series in 10 time ionized sodium atom (Z = 11)?

Options

A.1216 Å
B.12.16 Å
C.10 Å
D.110 Å

Solution

$\lambda \propto \frac{1}{z^{2}} \Rightarrow \frac{\lambda_{Na^{10 +}}}{\lambda_{H}} = \frac{1^{2}}{10^{2}} \Rightarrow \lambda_{Na^{10 +}} = 12.16\overset{o}{A}$

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