Which of the following is not a dimensionless quantity?

  • [JEE MAIN 2021]
  • A

    Relative magnetic permeability $\left(\mu_{{r}}\right)$

  • B

    Power factor

  • C

    Permeability of free space $\left(\mu_{0}\right)$

  • D

    Quality factor

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  Column $-I$   Column $-II$
$(A)$ Electrical resistance $(p)$ $M{L^3}{T^{ - 3}}{A^{ - 2}}$
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$(D)$ Specific conductance $(s)$ None of these

In a particular system of units, a physical quantity can be expressed in terms of the electric charge $c$, electron mass $m_c$, Planck's constant $h$, and Coulomb's constant $k=\frac{1}{4 \pi \epsilon_0}$, where $\epsilon_0$ is the permittivity of vacuum. In terms of these physical constants, the dimension of the magnetic field is $[B]=[c]^\alpha\left[m_c\right]^\beta[h]^\gamma[k]^\delta$. The value of $\alpha+\beta+\gamma+\delta$ is. . . . .

  • [IIT 2022]

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