In a semiconductor

Options

A. There are no free electrons at any temperature
B. The number of free electrons is more that that in a conductor
C. There are no free electrons at 0 K
D. None of these

Explanation

To solve the question regarding the properties of semiconductors, we need to analyze the statements provided and determine which one is correct based on our understanding of semiconductors.

### Step-by-Step Solution:

1. **Understanding Semiconductors**:
- Semiconductors are materials that have electrical conductivity between that of conductors and insulators. They are called "semi" because they can conduct electricity under certain conditions but not as well as conductors.

**Hint**: Remember that semiconductors have properties of both conductors and insulators.

2. **Free Electrons in Semiconductors**:
- At absolute zero temperature (0 Kelvin), all electrons in a semiconductor are in their lowest energy states and there are no free electrons available for conduction. This means that at 0 Kelvin, semiconductors behave like insulators.

**Hint**: Think about the behavior of electrons at very low temperatures.

3. **Conductivity at Different Temperatures**:
- As the temperature increases, some electrons gain enough energy to jump into the conduction band, thus becoming free electrons and allowing the semiconductor to conduct electricity. However, the number of free electrons in semiconductors is still significantly lower than in conductors.

**Hint**: Consider how temperature affects the energy levels of electrons in semiconductors.

4. **Evaluating the Statements**:
- **Statement A**: "There are no free electrons at any temperature." - This is incorrect because at temperatures above 0 Kelvin, some electrons can become free.
- **Statement B**: "The number of free electrons is more than that in conductors." - This is also incorrect because conductors have a much higher density of free electrons compared to semiconductors.
- **Statement C**: "There are no free electrons at zero Kelvin." - This is correct, as explained earlier.
- **Statement D**: "None of these." - This is incorrect since we have identified a correct statement.

5. **Conclusion**:
- The correct answer is **Statement C**: "There are no free electrons at zero Kelvin."

### Final Answer:
The correct statement about semiconductors is that there are no free electrons at zero Kelvin.

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