Which of the following statement(s) `is//are` consistent with the Bohr theory of the atom (and no other)? (1) An electron can remain in a particular orbit as long as it continuously absorbs radioation of a definite frequency. (2) The lowest energy orbits are those closest to the nucleus. (3) All electrons can jump from the K shell to the M shell by emitting radiation of a definite frequency.
A
1,2,3,
B
2 only
C
3 only
D
1,2
Text Solution
AI Generated Solution
The correct Answer is:
To determine which of the statements are consistent with the Bohr theory of the atom, we will analyze each statement one by one.
### Step-by-Step Solution:
1. **Analyze Statement 1**:
- **Statement**: "An electron can remain in a particular orbit as long as it continuously absorbs radiation of a definite frequency."
- **Analysis**: According to Bohr's theory, electrons occupy fixed energy levels (orbits) and do not continuously absorb energy. If an electron were to continuously absorb radiation, it would gain energy and eventually spiral into the nucleus, which contradicts Bohr's model. Thus, this statement is **not consistent** with Bohr's theory.
2. **Analyze Statement 2**:
- **Statement**: "The lowest energy orbits are those closest to the nucleus."
- **Analysis**: This statement aligns with Bohr's theory, which states that energy levels are quantized and that the energy of an electron decreases as it gets closer to the nucleus. Therefore, this statement is **consistent** with Bohr's theory.
3. **Analyze Statement 3**:
- **Statement**: "All electrons can jump from the K shell to the M shell by emitting radiation of a definite frequency."
- **Analysis**: In Bohr's model, the K shell (n=1) is at a lower energy level than the M shell (n=3). For an electron to move from a lower energy level (K shell) to a higher energy level (M shell), it must **absorb** energy, not emit it. Therefore, this statement is **not consistent** with Bohr's theory.
### Conclusion:
- The only statement that is consistent with the Bohr theory of the atom is **Statement 2**.
### Final Answer:
- The correct option is **2 only**.
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