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Which of the following shows correct ran...

Which of the following shows correct range of conductivity ?
(i)Conductors : `10^4` to `10^7 ohm^(-1) m^(-1)`
(ii)insulators : `10^(-6)` to `10^4 ohm^(-1) m^(-1)`
(iii)Semiconductors : `10^(-10)` to `10^(-6) ohm^(-1) m^(-1)`

A

(i) and (ii)

B

(i) only

C

(ii) and (iii)

D

(i), (ii) and (iii)

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given ranges of conductivity for conductors, insulators, and semiconductors is correct, we need to analyze each option based on the known ranges of conductivity for these materials. ### Step-by-Step Solution: 1. **Understanding Conductivity Ranges**: - **Conductors**: Typically have high conductivity values. The range is generally from \(10^4\) to \(10^7 \, \text{ohm}^{-1} \text{m}^{-1}\). - **Insulators**: Have very low conductivity values. The range is usually from \(10^{-10}\) to \(10^{-6} \, \text{ohm}^{-1} \text{m}^{-1}\). - **Semiconductors**: Have conductivity values that fall between conductors and insulators. The range is typically from \(10^{-6}\) to \(10^4 \, \text{ohm}^{-1} \text{m}^{-1}\). 2. **Analyzing the Given Options**: - (i) Conductors: \(10^4\) to \(10^7 \, \text{ohm}^{-1} \text{m}^{-1}\) - This is correct. - (ii) Insulators: \(10^{-6}\) to \(10^4 \, \text{ohm}^{-1} \text{m}^{-1}\) - This is incorrect; insulators should have lower conductivity than this range. - (iii) Semiconductors: \(10^{-10}\) to \(10^{-6} \, \text{ohm}^{-1} \text{m}^{-1}\) - This is incorrect; semiconductors should have higher conductivity than this range. 3. **Conclusion**: - The only correct range is for conductors. Therefore, the correct answer is that only the first option is correct. ### Final Answer: The correct answer is **(i) Conductors: \(10^4\) to \(10^7 \, \text{ohm}^{-1} \text{m}^{-1}\)**. ---

To determine which of the given ranges of conductivity for conductors, insulators, and semiconductors is correct, we need to analyze each option based on the known ranges of conductivity for these materials. ### Step-by-Step Solution: 1. **Understanding Conductivity Ranges**: - **Conductors**: Typically have high conductivity values. The range is generally from \(10^4\) to \(10^7 \, \text{ohm}^{-1} \text{m}^{-1}\). - **Insulators**: Have very low conductivity values. The range is usually from \(10^{-10}\) to \(10^{-6} \, \text{ohm}^{-1} \text{m}^{-1}\). - **Semiconductors**: Have conductivity values that fall between conductors and insulators. The range is typically from \(10^{-6}\) to \(10^4 \, \text{ohm}^{-1} \text{m}^{-1}\). ...
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