Physics Current Electricity DUHS 2022
PMDC Verified Question 71 of 112
A conducting wire of resistivity '\(\rho\)' is cut into two equal parts. The resistivity of each part will be:
A
The same
B
One fourth
C
\( \sqrt{2} \) times
D
Halved
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: The same
Concept:

Resistivity (\(\rho\)) is an intrinsic property of the material and its temperature. It is strictly independent of physical dimensions like length or area.

Solution:

  • Cutting the wire halves its Resistance (\(R\)), because resistance depends on length.


  • However, since both pieces are made of the exact same material and are at the same temperature, their Resistivity remains exactly the same.


Why other options are incorrect:

  • Opt B, C, D, E: All incorrectly assume resistivity scales with physical dimensions.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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