The resistivity of iron is `1xx10^(-7)` ohm-m. The resistance of a iron wire of particular length and thickness is 1 ohm. If the length and the diameter of wire both are doubled, then the resistivity in ohm-m will be

Options

A. `1xx10^(-7)`
B. `2xx10^(-7)`
C. `4xx10^(-7)`
D. `8xx10^(-7)`

Explanation

To solve the problem, we need to understand the relationship between resistance, resistivity, length, and cross-sectional area of a wire. The formula for resistance \( R \) is given by:

\[ R = \frac{\rho L}{A} \]

where:
- \( R \) is the resistance,
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