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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

For a cylindrical conductor, the product of its resistivity and...

For a cylindrical conductor, the product of its resistivity and conductivity depends upon

Options

  1. Amaterial
  2. Bcross-sectional area
  3. Ctemperature
  4. Dno physical parameters, being identically equal to 11

Correct answer

D. no physical parameters, being identically equal to 11

Step-by-step solution

Resistivity is denoted by ρ\rho and conductivity is denoted by σ\sigma.

By definition, conductivity is the reciprocal of resistivity, i.e., σ=1ρ\sigma = \dfrac{1}{\rho}.

The product of resistivity and conductivity is ρ×σ=ρ×1ρ=1\rho \times \sigma = \rho \times \dfrac{1}{\rho} = 1.

Since the product is a dimensionless constant equal to 11, it does not depend on any physical parameters such as material, cross-sectional area, or temperature.
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