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Question

The unit of specific resistance is:

A

Ohm / cm2^2

B

Ohm / cm

C

Ohm cm

D

(Ohm cm)−1^{-1}

Step-by-Step Solution

  1. Definition: Specific resistance (or resistivity, denoted by ρ\rho) is defined by the relationship between the resistance (RR) of a conductor, its length (ll), and its cross-sectional area (AA): R=ρlAR = \rho \frac{l}{A} .
  2. Rearrangement: To find the unit of ρ\rho, rearrange the formula: ρ=RAl\rho = R \frac{A}{l}.
  3. Dimensional Analysis:
  • The unit of Resistance (RR) is Ohm (Ω\Omega).
  • The unit of Area (AA) in the CGS system is cm2^2.
  • The unit of Length (ll) is cm.
  1. Calculation: Substituting these units gives: Unit of ρ=Ohm×cm2cm=Ohm⋅cm\text{Unit of } \rho = \frac{\text{Ohm} \times \text{cm}^2}{\text{cm}} = \text{Ohm} \cdot \text{cm}
  2. Note: The SI unit is Ohm metre (Ω\Omega m), but Ohm centimetre (Ω\Omega cm) is a commonly used submultiple .

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from UNITS AND MEASUREMENTS. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSUNITS AND MEASUREMENTSspecificresistance

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