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The electrical conductivity of semicondu...

The electrical conductivity of semiconductor is

A

`10^(8)ohm^(-1)cm^(1)`

B

`10^(-22)ohm^(-1)cm^(1)`

C

In the range of `10^(-9)` to `10^(2) ohm^(-1)cm^(-1)`

D

None of the above

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To solve the question regarding the electrical conductivity of semiconductors, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Electrical Conductivity**: - Electrical conductivity (σ) is defined as the ability of a material to conduct electric current. It is the reciprocal of resistivity (ρ). - Mathematically, this can be expressed as: \[ \sigma = \frac{1}{\rho} \] 2. **Understanding Resistivity**: - Resistivity (ρ) can be derived from Ohm's Law, which states: \[ R = \frac{\rho L}{A} \] - Here, R is the resistance, L is the length of the conductor, and A is the cross-sectional area. - Rearranging this equation gives: \[ \rho = \frac{R A}{L} \] 3. **Units of Resistivity and Conductivity**: - The unit of resistance (R) is ohms (Ω). - The unit of area (A) is in square meters (m²) or square centimeters (cm²). - Therefore, the unit of resistivity (ρ) is ohm-centimeter (Ω·cm) when using centimeters. - Consequently, the unit of conductivity (σ) becomes: \[ \sigma = \frac{1}{\rho} \Rightarrow \text{Unit of conductivity} = \text{ohm}^{-1} \cdot \text{cm}^{-1} \] 4. **Conductivity Ranges**: - It is important to know the typical ranges of electrical conductivity for different materials: - **Insulators**: σ ≤ 10⁻⁶ S/cm - **Semiconductors**: σ is in the range of 10⁻⁹ to 10² S/cm - **Conductors**: σ ≥ 10² S/cm 5. **Identifying the Correct Option**: - Given the ranges above, we can see that the electrical conductivity of semiconductors falls between 10⁻⁹ S/cm and 10² S/cm. - Therefore, if the options provided include a range that fits this description, we can select that option as the correct answer. ### Conclusion: Based on the analysis, the electrical conductivity of semiconductors is in the range of \(10^{-9}\) to \(10^{2}\) S/cm. If option 3 states this range, it is the correct choice.

To solve the question regarding the electrical conductivity of semiconductors, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Electrical Conductivity**: - Electrical conductivity (σ) is defined as the ability of a material to conduct electric current. It is the reciprocal of resistivity (ρ). - Mathematically, this can be expressed as: \[ ...
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