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

Correct Answer is : ρ→10−2−10−8Ωm\; arrow 10^{-2}-10^{-8} {m}ρ→10−2−10−8Ωm σ→102−108Sm−1\; arrow 10²-10^8 {Sm}^{-1}σ→102−108Sm−1

\; arrow 10^{-5}-10^{-6} {m} \; arrow 10^5-10^{-6} {Sm}^{-1}

\; arrow 10¹1}-10¹9} {m} \; arrow 10^{-11}-10^{-19} {Sm}^{-1}

\; arrow 10²-10^8 {m} \; arrow 10^{-2}-10^{-8} {Sm}^{-1}

\; arrow 10^{-2}-10^{-8} {m} \; arrow 10²-10^8 {Sm}^{-1}

Correct Answer is : ρ→10−2−10−8Ωm\; arrow 10^{-2}-10^{-8} {m}ρ→10−2−10−8Ωm σ→102−108Sm−1\; arrow 10²-10^8 {Sm}^{-1}σ→102−108Sm−1

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KCET 2025 Physics Paper

Question : 51 of 60

Marks: +1, -0

\sigma

\rho

) for metals, among the following, is

$\;\rho \rightarrow 10^{-5}-10^{-6} \Omega \mathrm{m}$
$\;\sigma \rightarrow 10^5-10^{-6} \mathrm{Sm}^{-1}$
$\;\rho \rightarrow 10^{11}-10^{19} \Omega \mathrm{m}$
$\;\sigma \rightarrow 10^{-11}-10^{-19} \mathrm{Sm}^{-1}$
$\;\rho \rightarrow 10^2-10^8 \Omega \mathrm{m}$
$\;\sigma \rightarrow 10^{-2}-10^{-8} \mathrm{Sm}^{-1}$
$\;\rho \rightarrow 10^{-2}-10^{-8} \Omega \mathrm{m}$
$\;\sigma \rightarrow 10^2-10^8 \mathrm{Sm}^{-1}$

Solution:

Option D

Explanation:

- Metals have very low resistivity, on the order of

\rho \approx 10^{-8}-10^{-6} \Omega \cdot \mathrm{m}

(for example, copper is about

1.7 \times 10^{-8} \Omega \cdot \mathrm{m}

- Their conductivity is the reciprocal,

\sigma=\;\frac{1}{\rho} \approx 10^6-10^8 \mathrm{S/m}

Option D's intervals

\rho: 10^{-2}-10^{-8} \Omega \mathrm{m}, \;\; \sigma: 10^2-10^8 \mathrm{S/m}

clearly include the true metallic range at the low-

\rho /

high

-\sigma

end.

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