Verified Solution • 2025–26 Session moderate

QJEEM21Phbc93: JEE Main 2021 Physics - Class 11 JEEM21Phbc93 Solution: Which of the following is not a dimensionless quantity?

Which of the following is not a dimensionless quantity?

Multiple Choice Options

  • A Permeability of free space ( μ\mu 0)
  • B Relative magnetic permeability ( μ\mu r)
  • C Power factor
  • D Quality factor

Step-by-Step Verified Solution

[ μ\mu r] = 1 as μ\mu r = μμm{\mu \over {{\mu _m}}}

[power factor (cos ϕ\phi )] = 1

μ0=B0H{\mu _0} = {{{B_0}} \over H} (unit = NA −- 2) : Not dimensionless

[ μ\mu 0] = [MLT −- 2A −- 2]

quality factor (Q)=Energy storedEnergy dissipated per cycle(Q) = {{Energy\,stored} \over {Energy\,dissipated\,per\,cycle}}

So Q is unitless & dimensionless.

Related Learning Resources & Exam Preparation