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Question

Which factor does NOT affect the resistivity of a material?

The correct answer is

Length of the conductor

In the context of resistivity, it is crucial to understand the intrinsic factors that affect it. Resistivity is a material property that indicates how strongly a material opposes the flow of electric current. It is primarily influenced by:

  • Atomic structure: The arrangement and type of atoms in a material inherently affect its resistivity. Materials with tightly bound electrons in full outer shells, for example, resist electron flow more than those with free electrons in their atomic structure.
  • Material type: Different materials have different inherent electrical properties. Conductors (like copper) have low resistivity, while insulators (like rubber) have high resistivity due to differing atomic structures and electron mobility.
  • Temperature: Temperature variations can affect how easily electrons can move through a material. Generally, the resistivity of a conductor increases with temperature.

However, the length of the conductor is not a factor that affects the resistivity itself. Instead, resistivity is a property independent of the physical dimensions of the material. The length of the conductor affects resistance, not resistivity. Resistance is calculated using the formula:

R = ρ × (L/A)

where R is resistance, ρ is resistivity, L is the length of the conductor, and A is the cross-sectional area. Thus, while length is integral to calculating resistance, it does not alter the inherent resistivity of the material.

Therefore, the correct answer to the question of which factor does NOT affect resistivity is the Length of the conductor.

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Important Questions from Resistance and Resistivity

  1. If the length of a conductor is doubled, then the resistance of the conductor will be: (other parameters are kept same)

  2. Based on the English alphabetical order, three of the following four letter-clusters are alike in a certain way and thus form a group. Which letter-cluster does not belong to that group?

    (Note: The odd one out is not based on the number of consonants/vowels or their position in the letter-cluster.)

  3. In a circuit, a 10-volt battery and three resistors ( R1 = 2 Ω ), ( R2 = 3 Ω), and ( R3 = 6 Ω) are connected in parallel to each other. Which of the following is the correct value of effective resistance ( Re ) and current I flowing through the circuit?

  4. A uniform wire of resistance 9Ω is bent in the form of an equilateral triangle. Find the effective resistance across a side of the triangle.

  5. A potential difference of 10V is applied across a conductor of conductance 5Ω-1. The current through the conductor is :

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