Question

Assertion (A): If ρ1 and ρ2 be the resistivity of the materials of two resistors of resistances R1 and R2 respectively and R1 > R2.
Reason (R): The resistance R = ρ l/A, ρ1 > ρ2, if R1 > R2​

Answer 1

Answer:

Assertion is correct but Reason is incorrect.

Explanation:

see the above picture for your verification.

Answer 2

The Assertion (A) is true, and the Reason (R) is also true beacause $R_1 > R_2$ suggests that the resistivity of the material in resistor 1 is larger than that in resistor 2 So, we can say that reason (R) is the correct explanation of Assertion (A).

The resistance of a conductor is determined by the equation R = l/A, where l is the conductor's length and A is its cross-sectional area, and is the material's resistivity.

$R_1 > R_2$ suggests that the resistivity of the material in resistor 1 is larger than that in resistor 2, or that 1 > 2. If 1 and 2 are the resistivity of the materials of two resistors with resistances $R_1 \:and\: R_2$, respectively, and $R_1 > R_2$, then this implies that 1 > 2.

When the lengths and cross-sectional areas of the resistors, $l_1, A_1$, and $l_2$, respectively, are used to calculate their resistances,

$R_1 = l_1/A_1$ and $R_2 = l_2/A_2$, respectively.

As a result, if $R_1 > R_2$, then $l_1/A_1 > l_2/A_2$ , indicating that $l_1 > l_2$ if $R_1 > R_2.$

Hence, the Assertion (A) is true, and the Reason (R) is also true, and it is the correct explanation of Assertion (A).

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