First slide

Hydrogen -like ion

Question

What is the longest wavelength of singly ionized Helium atom in the ground state, that it will absorb strongly?

Easy

A

54.4 nm
B

30.4 nm
C

40.5 nm
D

22.8 nm

Solution

$\begin{array}{l} \frac{1}{λ} = z^{2} R [\frac{1}{n^{2}} - \frac{1}{m^{2}}] \\ f o r ground to infinity \\ λ = \frac{1}{z^{2} R} = \frac{912}{4} = 228 \overset{0}{A} = 22.8 nm \end{array}$

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