Two resistors A and B have resistances RA and RB- respectively- and RA-Bb -A-Bc -A-Bd The information is not sufficient to find the relation between -A and -B-

(d) The information is not sufficient to find the relation between rho;A and rho;B. The resistance R of a conductor depends on its resistivity rho;, l ...

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Byju's Answer

Standard XII

Chemistry

Resistance and Resistivity

Two resistors...

Question

Two resistors A and B have resistances R_Aand R_B, respectively, and R_A < R_B. The resistivities of their materials are ρ_A and ρ_B.
(a) ρ_A> ρ_B
(b) ρ_A= ρ_B
(c) ρ_A< ρ_B
(d) The information is not sufficient to find the relation between ρ_Aand ρ_B.

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Solution

(d) The information is not sufficient to find the relation between ρ_Aand ρ_B.

The resistance R of a conductor depends on its resistivity ρ, length l and cross-sectional area A. Thus,

$R = ρ \frac{l}{A}$
From the given comparison of resistances, we cannot derive the correct relation between the resistances. We also need to know the cross-sectional areas and the lengths of both the conductors before concluding about their resistivities. Only then can the relation between the resistivities be found.

The information is not sufficient to find the relation between ρ_Aand ρ_B.

Hence, the correct option is (d)

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Two resistors A and B have resistances RA and RB, respectively, and RA < RB. The resistivities of their materials are ρA and ρB. (a) ρA > ρB (b) ρA = ρB (c) ρA < ρB (d) The information is not sufficient to find the relation between ρA and ρB.

Two resistors A and B have resistances R_Aand R_B, respectively, and R_A < R_B. The resistivities of their materials are ρ_A and ρ_B.
(a) ρ_A> ρ_B
(b) ρ_A= ρ_B
(c) ρ_A< ρ_B
(d) The information is not sufficient to find the relation between ρ_Aand ρ_B.