3. Show that angular momentum quantization of electron in hydrogen atom is the necessary consequence of de Broglie's matter wave concept.

Solution

If the matter-wave closes on itself in an orbit then standing wave can be formed.

Thus quantization of angular momentum is the necessary consequence of the de Broglie's matter-wave concept.

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Index

33.1 Compton scattering of photons
33.2 Louis de Broglie's concept of matter waves
33.3 Electron Diffraction
33.4 Bohr's Atom

Chapter 34