Which of the following is not a dimensionless quantity?

Which of the following is not a dimensionless quantity?
  1. Power factor
  2. Quality factor
  3. Permeability of free space μ0
  4. Relative magnetic permeability μr

Solution

The power factor is defined as,cosϕ which is dimensionless, the formula of quality factor, Q=1RLC, which is also dimensionless, and the permeability in free space, μr=μμ0, but permeability in free space is defined as,  μ0=c2ε0, here c is the speed of light in vacuum and ε0 is the permittivity in free space so this having dimension.

Asked in: JEE Main 2021 (27 Aug Shift 1)

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