Q171 / 180 · KCET 2025 · Physics

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

  • A
    $\begin{aligned} & \rho \rightarrow 10^{-5}-10^{-6} \Omega \mathrm{~m} \\ & \sigma \rightarrow 10^5-10^{-6} \mathrm{Sm}^{-1}\end{aligned}$
  • B
    $\begin{aligned} & \rho \rightarrow 10^{11}-10^{19} \Omega \mathrm{~m} \\ & \sigma \rightarrow 10^{-11}-10^{-19} \mathrm{Sm}^{-1}\end{aligned}$
  • C
    $\begin{aligned} & \rho \rightarrow 10^2-10^8 \Omega \mathrm{~m} \\ & \sigma \rightarrow 10^{-2}-10^{-8} \mathrm{Sm}^{-1}\end{aligned}$
  • Correct answer
    D
    $\begin{aligned} & \rho \rightarrow 10^{-2}-10^{-8} \Omega \mathrm{~m} \\ & \sigma \rightarrow 10^2-10^8 \mathrm{Sm}^{-1}\end{aligned}$

Solution

The electrical conductivity \((\sigma)\) for metals typically ranges from \(10^2\) to \(10^8 \Omega^{-1} \mathrm{~m}^{-1}\) and the resistivity (\(\rho\)) is in the range of \(10^{-2}\) to \(10^8 \Omega\) m.

Hence, the correct answer is option: 'D'.

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