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The resistance of a conductor depends on...

The resistance of a conductor depends on its

A

Material of conductor

B

Length of conductor

C

Area of cross-section of conductor

D

All of these

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The correct Answer is:
To determine how the resistance of a conductor depends on various factors, we can analyze the formula for resistance: ### Step-by-Step Solution: 1. **Understanding the Formula for Resistance**: The resistance \( R \) of a conductor is given by the formula: \[ R = \rho \frac{L}{A} \] where: - \( R \) = resistance - \( \rho \) = resistivity of the material - \( L \) = length of the conductor - \( A \) = area of cross-section of the conductor 2. **Identifying the Factors**: From the formula, we can identify the factors that affect resistance: - **Resistivity (\( \rho \))**: This is a property of the material itself. Different materials have different resistivities, which affect how easily current can flow through them. - **Length (\( L \))**: The longer the conductor, the greater the resistance. This is because electrons have to travel a longer distance, encountering more collisions with atoms in the material. - **Area of Cross-Section (\( A \))**: The larger the cross-sectional area, the lower the resistance. A larger area allows more electrons to flow simultaneously, reducing the overall resistance. 3. **Conclusion**: Therefore, we can conclude that the resistance of a conductor depends on: - The resistivity of the material (which is a property of the material) - The length of the conductor - The area of the cross-section of the conductor ### Final Answer: The resistance of a conductor depends on its resistivity, length, and area of cross-section.
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Knowledge Check

  • The electrical resistance of a conductor depends upon

    A
    size of conductor
    B
    temperature of conductor
    C
    geometry of conductor
    D
    all of these
  • Assertion: The resistance of a conductor decreases with increase in cross sectional area. Reason: On increasing the cross sectional area of a conductor, more current will flow through the conductor.

    A
    If both assertion and reason are true and reason is the correct explantion of assertion.
    B
    If both assertion and reason are true and reason is not the correct explantion of assertion.
    C
    If assertion is false but reason is true.
    D
    If assertion is true but reason is false.
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