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Wire of radius 0.01 cm: find its length or resistivity

The same question, asked 3 times: 2022*, 2025*, 2026. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2022

    12 (a)
    (a) List the factors on which the resistance of a uniform cylindrical conductor of a given material depends. (b) The resistance of a wire of 0.01 cm radius is 10 Ω10\,\Omega. If the resistivity of the wire is 50×10−8 Ω50 \times 10^{-8}\,\Omega m, find the length of this wire.
  2. Question 2

    2025

    32
    The resistance of a wire of 0.01 cm radius is 7 ohms. If the resistivity of the material of the wire is 44×10−644 \times 10^{-6} ohm meter, calculate the length of the wire.
  3. Question 3

    2025

    27
    (a) Define one ampere. (b) The resistance of a wire of 0⋅010{\cdot}01 cm radius is 14 Ω14\,\Omega. If the resistivity of the material of the wire is 44×10−8 Ω m44 \times 10^{-8}\,\Omega\,\mathrm{m}, find the length of the wire. (Given π=227\pi = \dfrac{22}{7})
  4. Question 4

    2026

    34 (a)
    The resistance of a wire of 0.01 cm radius and 1.0 cm length is 7 Ω7\,\Omega. Calculate its resistivity.