Question

In the bohr model of the hydrogen atom, the radius of the electron orbit increases by a factor of four. What happens to the magnitude of the orbital angular momentum of the electron?

Answer 1

The magnitude of the orbital angular momentum of the electron is doubled when the radius of the electron orbit increases by a factor of four.

What is orbital angular momentum?

The orbital angular momentum is the sum of angular momenta of all electrons, it is the rotational analog of the linear momentum.

The formula of angular momentum

$\rm mvr = \dfrac{nh}{2 \pi}$

Thus, the magnitude of the orbital angular momentum of the electron is doubled when the radius of the electron orbit increases by a factor of four.

Learn more about orbital angular momentum

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