An electron revolves around a proton in a hydrogen atom in an orbit of radius r. Considering the wave nature of electron and assuming that electron is present in the form of a stationary wave. Show that the angular momentum of the electron is quantized.

Explanation

To show that the angular momentum of the electron in a hydrogen atom is quantized, we will follow these steps:

### Step-by-Step Solution:

1. **Understanding the Wave Nature of the Electron**:
- The electron can be treated as a wave, and according to the de Broglie hypothesis, the wavelength (λ) of the electron is given by:
\[
\lambda = \frac{h}{mv}
...