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The product of resistivity and conductivity of a conductor depends on the material of the conductor.Reason : Because each of resistivity and conductivity depends on the material of the conduct

Question

The product of resistivity and conductivity of a conductor depends on the material of the conductor.Reason : Because each of resistivity and conductivity depends on the material of the conduct

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Solution

The statement is correct. The product of resistivity and conductivity of a conductor does depend on the material of the conductor. This is because both resistivity and conductivity are properties that are specific to the material of the conductor.

To understand this, let's break it down step by step:

  1. Resistivity: Resistivity is a measure of how strongly a material opposes the flow of electric current. It is an intrinsic property of the material and is denoted by the symbol ρ (rho). Different materials have different resistivities, which means they offer different levels of resistance to the flow of current.

  2. Conductivity: Conductivity is the opposite of resistivity. It is a measure of how easily a material allows electric current to flow through it. It is denoted by the symbol σ (sigma). Materials with high conductivity allow current to flow easily, while materials with low conductivity offer more resistance to the flow of current.

  3. Relationship to material: Both resistivity and conductivity are dependent on the material of the conductor. Different materials have different atomic structures, which affect the movement of electrons and the flow of current. Therefore, the resistivity and conductivity values will vary from material to material.

  4. Product of resistivity and conductivity: The product of resistivity (ρ) and conductivity (σ) is a constant value for a given material. This constant is known as the electrical conductivity (σ) and is a measure of how well a material conducts electricity. It is calculated as σ = 1/ρ.

In conclusion, the product of resistivity and conductivity of a conductor depends on the material of the conductor because both resistivity and conductivity are intrinsic properties that vary from material to material.

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