The speed of an electron in the orbit of the hydrogen atom in the ground state is (c is speed of light)

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The speed of an electron in the orbit of the hydrogen atom in the ground state is (c is speed of light)

PhysicsAtomic PhysicsNEET

Options:

A $c$
B $\frac{c}{2}$
C $\frac{c}{10}$
D $\frac{c}{137}$

Solution:

2074 Upvotes Verified Answer

The correct answer is:

\frac{c}{137}

V = 9 \times 10^{9} \times \frac{2 π e^{2}}{n h} = 2.18 \times 10^{6}

m/s

Or

V = \frac{2.18 \times 10^{6}}{3 \times 10^{8}} c = \frac{c}{137}

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