Question

The range of electrical conductivity \( \sigma \) and resistivity \( \rho \) for metals, among the following, is:

• A. \( \rho = 10^{-3} - 10^{8} \, \Omega \, \text{m}, \, \sigma = 10^{-2} - 10^{5} \, \Omega^{-1} \, \text{m}^{-1} \)
• B. \( \rho = 10^{-6} - 10^{3} \, \Omega \, \text{m}, \, \sigma = 10^{2} - 10^{5} \, \Omega^{-1} \, \text{m}^{-1} \)
• C. \( \rho = 10^{-6} - 10^{3} \, \Omega \, \text{m}, \, \sigma = 10^{-10} - 10^{5} \, \Omega^{-1} \, \text{m}^{-1} \)
• D. \( \rho = 10^{-10} - 10^{6} \, \Omega \, \text{m}, \, \sigma = 10^{-10} - 10^{6} \, \Omega^{-1} \, \text{m}^{-1} \)

Hint:

For metals, conductivity and resistivity are inversely related. Higher conductivity means lower resistivity and vice versa.

Answer 1

The Correct Option is A

For metals, the electrical conductivity (\( \sigma \)) typically ranges from \( 10^{2} \) to \( 10^{5} \, \Omega^{-1} \, \text{m}^{-1} \) and the resistivity (\( \rho \)) is in the range of \( 10^{-3} \) to \( 10^{8} \, \Omega \, \text{m} \). This corresponds to option (1).