Question map
Not attempted Correct Incorrect Bookmarked
Loading…
Q20 (CDS-I/2020) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Electricity and magnetism Answer Verified

The resistivity p of a material may be expressed in units of

Result
Your answer:  ·  Correct: C
Explanation

The electrical resistivity (ρ) of a material is a fundamental property that quantifies how strongly it opposes electric current. According to the resistance formula, R = ρ(l/A), where R is resistance, l is length, and A is the cross-sectional area [4]. Rearranging this gives ρ = RA/l. In the SI system, the unit is ohm-meter (Ω·m) [5]. However, when lengths are measured in centimeters (cm) and area in square centimeters (cm²), the unit becomes (ohm × cm²) / cm, which simplifies to ohm-centimeter (Ω·cm) [5]. This unit is commonly used in semiconductor physics and material science to express volume resistance. While 'ohm' is the unit for resistance [2], and 'ohm/cm' or 'ohm-cm²' are incorrect dimensional representations, 'ohm-cm' is a standard and widely accepted unit for resistivity [5].

Sources

  1. [4] https://www.epa.gov/environmental-geophysics/electrical-conductivity-and-resistivity
  2. [1] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > What you have learnt > p. 192
  3. [5] https://www.britannica.com/science/resistivity
  4. [2] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > Figure 11.3 > p. 176
How others answered
Each bar shows the % of students who chose that option. Green bar = correct answer, blue outline = your choice.
Community Performance
Out of everyone who attempted this question.
50%
got it right
✓ Thank you! We'll review this.

SIMILAR QUESTIONS

NDA-II · 2015 · Q43 Relevance score: 0.61

The resistance of a wire of length / and area of cross-section a is x ohm. If the wire is stretched to double its length, its resistance would become:

NDA-I · 2022 · Q15 Relevance score: 0.55

Which one of the following correctly represents the SI unit of resistivity?

NDA-II · 2015 · Q37 Relevance score: 0.42

Which one of the following is the SI unit of the thermal conductivity of a material?

NDA-I · 2025 · Q148 Relevance score: 0.01

If three resistors of 1 Ohm each connect in parallel to each other the resultant resistance is

NDA-II · 2015 · Q24 Relevance score: -0.34

Three equal resistances when combined in series are equivalent to 90 ohm. Their equivalent resistance when combined in parallel will be: