According to Rutherford's atom model, the electrons revolving round the nucleus, should give rise to

Options

A. 1. a line spectrum
B. 2. a band spectrum
C. 3. a continuous emission spectrum
D. 4. an absorption spectrum

Answer

To solve the question regarding what the electrons revolving around the nucleus according to Rutherford's atom model should give rise to, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Rutherford's Atom Model**:
- Rutherford proposed that an atom consists of a small, dense, positively charged nucleus surrounded by negatively charged electrons that revolve around it, similar to planets orbiting the sun.

2. **Analyze Electron Motion**:
- In this model, electrons are in constant motion around the nucleus. As they revolve, they are expected to experience centripetal acceleration due to their circular motion.

3. **Electromagnetic Radiation**:
- According to classical electromagnetism, any charged particle that accelerates (which includes electrons in circular motion) emits electromagnetic radiation. This radiation is a result of the changing electric and magnetic fields produced by the moving charge.

4. **Type of Spectrum Produced**:
- The emitted radiation from the electrons would be continuous because the electrons are continuously accelerating as they revolve around the nucleus. This means they would emit a continuous spectrum of electromagnetic waves.

5. **Conclusion**:
- Therefore, according to Rutherford's model, the electrons revolving around the nucleus should give rise to a **continuous emission spectrum**.

### Final Answer:
The correct option is: **a continuous emission spectrum**.

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