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

  • [AIIMS 2003]
  • [AIPMT 1991]
  • A

    ${A^{ - 2}}{M^1}{L^1}{T^{ - 2}}$

  • B

    $ML{T^{ - 2}}$

  • C

    $M{L^0}{T^{ - 1}}$

  • D

    ${A^{ - 1}}ML{T^2}$

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  • [NEET 2021]

The potential energy of a particle varies with distance $x$ from a fixed origin as $U\, = \,\frac{{A\sqrt x }}{{{x^2} + B}}$ Where $A$ and $B$ are dimensional constants then find the dimensional formula for $A/B$