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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Electric Current in Conductors

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Electric Current in Conductors

Two resistors, labeled A and B , have resistances R_A and R_B...

Two resistors, labeled AA and BB, have resistances RAR_A and RBR_B respectively, where RA<RBR_A < R_B. The materials of these resistors have resistivities hoAho_A and hoBho_B.

Options

  1. AThe provided information is insufficient to establish a relation between ρA\rho_A and ρB\rho_B.
  2. BρA<ρB\rho_A < \rho_B
  3. CρA>ρB\rho_A > \rho_B
  4. DρA=ρB\rho_A = \rho_B

Correct answer

A. The provided information is insufficient to establish a relation between ρA\rho_A and ρB\rho_B.

Step-by-step solution

The resistance of a conductor is given by R=ρlAR = \rho \dfrac{l}{A}

where ρ\rho is the resistivity of the material, ll is the length, and AA is the cross-sectional area.

Given RA<RBR_A < R_B, we have ρAlAAA<ρBlBAB\rho_A \dfrac{l_A}{A_A} < \rho_B \dfrac{l_B}{A_B}

Since the dimensions (ll and AA) of the two resistors are not provided, we cannot compare the resistivities ρA\rho_A and ρB\rho_B.

The provided information is insufficient to establish a relation between ρA\rho_A and ρB\rho_B.
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