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Which of the following is NOT dimensionless?

  1. A
    Specific resistance
  2. B
    Refractive index
  3. C
    Angle of friction
  4. D
    Specific gravity

Solution & Step-by-step Explanation

Let us analyze the dimensional nature of each option:Specific resistance (Resistivity, ): It is defined from , which gives . Its unit is and its dimensional formula is . Thus, it is not dimensionless.Refractive index (): It is the ratio of the speed of light in a vacuum to the speed of light in a medium (). Being a ratio of similar quantities, it is dimensionless.Angle of friction (): Angles are defined as , which is a ratio of lengths, making it dimensionless.Specific gravity: It is the ratio of the density of a substance to the density of a reference substance (usually water). Being a ratio of identical quantities, it is dimensionless.

Practice this question

Try it yourself before checking the explanation above.

Which of the following is NOT dimensionless?
A
Specific resistance
B
Refractive index
C
Angle of friction
D
Specific gravity

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