${\mu _0}$ and ${\varepsilon _0}$ denote the permeability and permittivity of free space, the dimensions of ${\mu _0}{\varepsilon _0}$ are

  • A
    $L{T^{ - 1}}$
  • B
    ${L^{ - 2}}{T^2}$
  • C
    ${M^{ - 1}}{L^{ - 3}}{Q^2}{T^2}$
  • D
    ${M^{ - 1}}{L^{ - 3}}{I^2}{T^2}$

Similar Questions

Match List $I$ with List $II$ :
List $I$ (Physical Quantity) List $II$ (Dimensional Formula)
$(A)$ Pressure gradient $(I)$ $\left[ M ^0 L ^2 T ^{-2}\right]$
$(B)$ Energy density $(II)$ $\left[ M ^1 L ^{-1} T ^{-2}\right]$
$(C)$ Electric Field $(III)$ $\left[ M ^1 L ^{-2} T ^{-2}\right]$
$(D)$ Latent heat $(IV)$ $\left[ M ^1 L ^1 T ^{-3} A ^{-1}\right]$
Choose the correct answer from the options given below:

  • [JEE MAIN 2023]

Which physical quantities have the same dimension

The pair having the same dimensions is

The dimensional formula of permeability of free space $\mu_0$ is

  • [AIPMT 1991]

The de-Broglie wavelength associated with a particle of mass $m$ and energy $E$ is $\mathrm{h} / \sqrt{2 m E}$ The dimensional formula for Planck's constant is:

  • [JEE MAIN 2024]