Atomic StructureHard

Question

The ratio of the speed of the electron in the first Bohr orbit of hydrogen and the speed of light is equal to (where e, h and c have their usual meanings)

Options

A.$2\pi hc/e^{2}$
B.$e^{2}c/2\pi h$
C.$e^{2}h/2\pi c$
D.$e^{2}/2 \in_{0}hc$

Solution

$\frac{v}{c} = \frac{2\pi ze^{2}}{\left( 4\pi\varepsilon_{0} \right)nh.c}$

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