To solve the question regarding Bohr's stationary orbits, we will analyze each of the provided statements based on Bohr's theory of the atom.
### Step-by-Step Solution:
1. **Understanding Bohr's Theory**:
- Bohr proposed that electrons revolve around the nucleus in fixed orbits, called stationary orbits. Each orbit corresponds to a specific energy level.
2. **Analyzing the Statements**:
- **Statement 1**: "Electrons do not move."
- This statement is incorrect. According to Bohr's theory, electrons are in constant motion around the nucleus in defined orbits.
- **Statement 2**: "Electrons move emitting radiations."
- This statement is also incorrect. If electrons emitted radiation while moving in their orbits, they would lose energy and spiral into the nucleus, making the atom unstable. Bohr's model states that electrons in stationary orbits do not emit radiation.
- **Statement 3**: "Energy of an electron remains constant."
- This statement is correct. In a stationary orbit, the energy of the electron remains constant as long as it stays in that orbit. The energy levels are quantized, meaning electrons can only occupy certain energy levels.
- **Statement 4**: "Angular momentum of the electron is h/2π."
- This statement is incorrect. According to Bohr's theory, the angular momentum of an electron in a stationary orbit is quantized and given by the formula L = n(h/2π), where n is the principal quantum number (the number of the orbit).
3. **Conclusion**:
- The only correct statement regarding Bohr's stationary orbits is that the energy of an electron remains constant in a stationary orbit. Therefore, the correct answer is option C.
### Final Answer:
- The correct option is **C: Energy of an electron remains constant**.
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