Question

According to Bohr's model of an atom, which of the following is/are quantized? (a) The total energy of electron is quantized. (b) Angular momentum of electron is quantized. (c) both (a) and (b). (d) None of the above.

Answer 1

Both (a) and (b).

Both total energy and angular momentum of the electron is quantized in the atom.

Explanation:

In the Bohr's model, one of the main postulates of Bohr in formulating his theory is,

"Only those orbits are allowed for which the angular momentum is an integral multiple of `h/(2pi)`."

This states the quantization condition of angular momentum.

Though put up as a postulate, this may be derived from the Wilson-Sommerfeld Quantization condition of action of a system.

Also de Broglie's theory of wave nature of electrons can be used to provide a not so rigorous derivation.

It may also be shown that the energy (kinetic + potential) of the electron is quantized and depends on the principal quantum number `n` which indicates the orbit in which the electron moves.

Refer to -
Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles by Eisberg and Resnick.