A wire 100 cm long and 2.0 mm diameter has a resistance of …

Physics Current Electricity Specific, Equivalent, Electric Resistance and Resistivity Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: September 12, 2026

A wire 100 cm long and 2.0 mm diameter has a resistance of 0.7 ohm , the electrical resistivity of the material is

$4.4 \times 10^{-6} \text{ ohm} \times m$

$2.2 \times 10^{-6} ohm \times m$

$1.1 \times 10^{-6} \text{ ohm } \times \text{ m}$

$0.22 \times 10^{-6} \text{ ohm} \times m$

Text Solution

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The correct answer is:

( b) $R = \frac{\rho L}{A} \Rightarrow 0.7 = \frac{\rho \times 1}{\frac{22}{7} (1 \times 10^{-3})^2}$

$\rho = 2.2 \times 10^{-6} \text{ ohm-m}$

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