Which of the following postutates does not belong to Bohr's model of atom ?

Options

A. Angular momentum of an electron in the stationary orbit is an integral multiple of `h//2pi`
B. The electron in the stationary orbit is stable
C. The path of an electron is circular
D. The change in the energy levels of electron is continuous

Explanation

To determine which of the following postulates does not belong to Bohr's model of the atom, we will analyze each statement one by one.

1. **Angular momentum of an electron in the stationary orbit is an integral multiple of \( \frac{h}{2\pi} \)**:
- According to Bohr's model, the angular momentum of an electron in a stationary orbit is quantized and can be expressed as \( mvr = n \frac{h}{2\pi} \), where \( n \) is a positive integer (the principal quantum number). This statement is correct and is a fundamental postulate of Bohr's model.

2. **The electron in the stationary orbit is stable**:
- Bohr proposed that electrons in certain orbits do not radiate energy and thus remain stable. This stability arises from the constructive interference of the wave associated with the electron's motion. This statement is also correct and aligns with Bohr's model.

3. **The path of the electron is circular**:
- Bohr assumed that the orbits of electrons around the nucleus are circular. This assumption is integral to his calculations and derivations. Therefore, this statement is correct as well.

4. **The change in the energy levels of the electrons is continuous**:
- This statement is incorrect. In Bohr's model, the energy levels are quantized, meaning that electrons can only occupy certain discrete energy levels. The transitions between these levels involve the absorption or emission of fixed amounts of energy (quanta). Therefore, this statement does not belong to Bohr's model.

**Conclusion**:
The statement that does not belong to Bohr's model of the atom is: **The change in the energy levels of the electrons is continuous**.