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Units & Dimensions

JEE Main level, single correct, medium

101 of 149

Question 101 of 149

Which of the following is not a dimensionless quantity?

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Answer: (C) Permeability of free space $\left({\mu }_{0}\right)$

The power factor is defined as,

\cos \phi

which is dimensionless, the formula of quality factor,

Q=\dfrac{1}{R}\sqrt{\dfrac{L}{C}}

, which is also dimensionless, and the permeability in free space,

{\mu }_{r}=\dfrac{\mu }{{\mu }_{0}}

, but permeability in free space is defined as,

{\mu }_{0}=\dfrac{{c}^{2}}{{\epsilon }_{0}}

, here

c

is the speed of light in vacuum and

{\epsilon }_{0}

is the permittivity in free space so this having dimension.

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JEE Main 2025 Apr 2 Shift 1 question paper

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