Physics

Physics

Problem

A student records the following values of resistivity (ρ)(\rho) and conductivity (σ)(\sigma) for four metallic samples: Sample A: ρ=2.0×10−8 Ω m,  σ=5.0×107 S m−1\rho = 2.0\times 10^{-8}\,\Omega\,\text{m},\; \sigma = 5.0\times 10^{7}\,\text{S m}^{-1} Sample B: ρ=5.0×10−7 Ω m,  σ=2.0×106 S m−1\rho = 5.0\times 10^{-7}\,\Omega\,\text{m},\; \sigma = 2.0\times 10^{6}\,\text{S m}^{-1} Sample C: ρ=1.0×10−6 Ω m,  σ=1.0×106 S m−1\rho = 1.0\times 10^{-6}\,\Omega\,\text{m},\; \sigma = 1.0\times 10^{6}\,\text{S m}^{-1} Sample D: ρ=3.3×10−8 Ω m,  σ=3.0×107 S m−1\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 ρ\rho and σ\sigma mutually inconsistent? a) Sample B b) Sample C c) Sample A d) Sample D

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