Question:

If R is the resistance of a conductor of length l, then

Updated On: Apr 26, 2025
  • \(R∝\frac 1l\)
  • \(R∝l\)
  • \(R∝\sqrt l\)
  • \(R\) is independent of \(l\)
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The Correct Option is B

Solution and Explanation

The resistance (R) of a conductor is directly proportional to its length (l) and inversely proportional to its cross-sectional area (A). 

$$R = \rho \frac{l}{A}$$ where $\rho$ is the resistivity of the material. 

Therefore, $R \propto l$. 

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