Question

Which among the following statements is true for conductivity?

• A. It is inversely proportional to resistivity.
• B. It is inversely proportional to molar conductivity.
• C. It is directly proportional to resistivity.
• D. It is directly proportional to resistance.

Hint:

Remember these definitions as pairs to avoid confusion: Conductance ($G$) is the mathematical inverse of Resistance ($R$). Conductivity ($\kappa$) is the mathematical inverse of Resistivity ($\rho$).

Answer 1

The Correct Option is A

Step 1: Define conductivity.
Conductivity tells how well a material lets current flow. Resistivity tells how strongly it blocks current.

Step 2: Write the relation.
One is the flip of the other: $\kappa = \dfrac{1}{\rho}$.

Step 3: Read the meaning.
Because $\kappa$ equals one over $\rho$, conductivity is inversely proportional to resistivity. When blocking goes up, flow goes down.
\[ \boxed{\kappa \propto \tfrac{1}{\rho}} \]