Semiconductors have a conductivity range of `10^(-6)` to `10^(n)" ohm"^(-1)m^(-1)`. What is the value of n here?

Answer

To determine the value of \( n \) in the conductivity range of semiconductors, we need to analyze the given information about the conductivity of semiconductors compared to conductors and insulators.

### Step-by-Step Solution:

1. **Understanding Conductivity Ranges**:
- Conductors have high conductivity, typically greater than \( 10^2 \, \text{ohm}^{-1}\text{m}^{-1} \).
- Insulators have very low conductivity, typically less than \( 10^{-10} \, \text{ohm}^{-1}\text{m}^{-1} \).
- Semiconductors fall in between these two ranges.

2. **Given Conductivity Range for Semiconductors**:
- The problem states that the conductivity range for semiconductors is from \( 10^{-6} \, \text{ohm}^{-1}\text{m}^{-1} \) to \( 10^n \, \text{ohm}^{-1}\text{m}^{-1} \).

3. **Identifying the Upper Limit**:
- Since semiconductors are more conductive than insulators but less conductive than conductors, we can infer that the upper limit of the conductivity for semiconductors should be less than that of conductors.
- Therefore, we can assume that \( 10^n \) must be less than \( 10^2 \, \text{ohm}^{-1}\text{m}^{-1} \).

4. **Setting Up the Inequality**:
- From the above reasoning, we can set up the inequality:
\[ 10^n < 10^2 \]
- This implies:
\[ n < 2 \]

5. **Determining Possible Values for n**:
- The conductivity of semiconductors typically ranges up to \( 10^4 \, \text{ohm}^{-1}\text{m}^{-1} \) in certain conditions.
- Hence, for semiconductors, the upper limit can be approximated to \( 10^4 \, \text{ohm}^{-1}\text{m}^{-1} \), which gives us:
\[ n = 4 \]

6. **Conclusion**:
- Therefore, the value of \( n \) is \( 4 \).

### Final Answer:
The value of \( n \) is \( 4 \).