A student records the following values of resistivity and conductivity for four…

PHYSICS · Single correct · CBSE · Physics · Current Electricity · Current Electricity

Problem

A student records the following values of resistivity

(\rho)

and conductivity

(\sigma)

for four metallic samples: Sample A:

\rho = 2.0\times 10^{-8}\,\Omega\,\text{m},\; \sigma = 5.0\times 10^{7}\,\text{S m}^{-1}

Sample B:

\rho = 5.0\times 10^{-7}\,\Omega\,\text{m},\; \sigma = 2.0\times 10^{6}\,\text{S m}^{-1}

Sample C:

\rho = 1.0\times 10^{-6}\,\Omega\,\text{m},\; \sigma = 1.0\times 10^{6}\,\text{S m}^{-1}

Sample D:

\rho = 3.3\times 10^{-8}\,\Omega\,\text{m},\; \sigma = 3.0\times 10^{7}\,\text{S m}^{-1}

For which sample are the tabulated values of

\rho

and

\sigma

mutually inconsistent? (a) Sample B (b) Sample C (c) Sample A (d) Sample D