Atomic StructureHard

Question

The escape velocity for earth is 11.2 km/s. The orbit number for H-atom in which speed of electron is about 19.54 times the escape velocity is

Options

A.4
B.8
C.10
D.infinite

Solution

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

$19.54 \times 11.2 \times 10^{3} = 2.188 \times 10^{6} \times \frac{1}{n} \Rightarrow n \approx 10$

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