Assertion :If $ρ_{1}$ and $ρ_{2}$ be the resistivity of the materials of two resistors of resistances $R_{1}$ and $R_{2}$ respectively and $R_{1} > R_{2}, t h e n ρ_{1} > ρ_{2}$ . Reason: The resistance $R = ρ \frac{ı}{A} \Rightarrow ρ_{1} > ρ_{2}$ If $R_{1} > R_{2}$

Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

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Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion

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Assertion is correct but Reason is incorrect.

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Assertion is incorrect and Reason is incorrect

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Solution

The correct option is D Assertion is incorrect and Reason is incorrect
Both incorrect.
$ρ$ is the characteristic of the material of resistors. It does not depend on the length and cross-sectional area of resistors. But R depends on the length and the cross-sectional are of the resistor. So, $R_{1}$ may be greater than $R_{2}$ even when $ρ_{1} < ρ_{2}$

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Assertion :If ρ1 and ρ2 be the resistivity of the materials of two resistors of resistances R1 and R2 respectively and R1>R2,thenρ1>ρ2. Reason: The resistance R=ρıA⇒ρ1>ρ2 If R1>R2

Assertion :If $ρ_{1}$ and $ρ_{2}$ be the resistivity of the materials of two resistors of resistances $R_{1}$ and $R_{2}$ respectively and $R_{1} > R_{2}, t h e n ρ_{1} > ρ_{2}$ . Reason: The resistance $R = ρ \frac{ı}{A} \Rightarrow ρ_{1} > ρ_{2}$ If $R_{1} > R_{2}$