Fundamental Dimensions

Rarely Tested

The seven base dimensions in SI system:

  • Mass: $$[M]$$
  • Length: $$[L]$$
  • Time: $$[T]$$
  • Electric current: $$[A]$$
  • Temperature: $$[K]$$
  • Amount of substance: $$[\mathrm{mol}]$$
  • Luminous intensity: $$[\mathrm{cd}]$$
Question 1

In a new system of units, the units of mass, length, time and current are $$5\,\mathrm{kg}$$, $$5\,\mathrm{m}$$, $$5\,\mathrm{s}$$ and $$5\,\mathrm{A}$$, respectively. If $$\mu_0$$ and $$\epsilon_0$$ are the permeability and permittivity of free space, respectively, then in this new system of units, the magnitude of one SI unit of $$\sqrt{\mu_0/\epsilon_0}$$, is:

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