Question:

If the length of a uniform metallic wire is halved and its radius is doubled, its resistivity is

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Do not confuse resistance with resistivity. \[ R=\rho\frac{L}{A} \] Changing length and area changes \(R\), not \(\rho\).
Updated On: Apr 27, 2026
  • halved
  • unchanged
  • doubled
  • tripled
  • quadrupled
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The Correct Option is B

Solution and Explanation

Resistivity is a property of the material itself. It depends on:
  • nature of the material,
  • temperature.
It does not depend on:
  • length of the wire,
  • radius of the wire.
So even if the length is halved and radius is doubled, resistivity remains unchanged.
Hence, the correct answer is: \[ \boxed{(B)\ \text{unchanged}} \]
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