Atomic StructureHard

Question

What is the orbit number of the He+ ion in which electron have speed $\frac{1}{205.67}$times the speed of light?

Options

A.1
B.2
C.3
D.4

Solution

$V_{n,z} = 2.188 \times 10^{6}\frac{z}{n}\text{ m/s}$

$\frac{1}{205.67} \times 3 \times 10^{8} = 2.188 \times 10^{6} \times \frac{2}{n} \Rightarrow n = 3$

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