Paper 1 · units and dimensions

The unit for $\mu_o$ , the permeability of a vacuum is kgms $^{-2}$ and that for $\varepsilon_o$ , the permittivity of a vacuum is kg $^{-1}$ m $^{-3}$ s $^4$ . If C is the speed of light in a vacuum, which of the following has units of $\mu_o \varepsilon_o$ ?

C^{-2}

C^{-1}

C

C^2

Explanation: Units of

\mu_o\varepsilon_o

= kgms

^{-2}

× kg

^{-1}

^{-3}

^4

= m

^{-2}

^2

= (m/s)

^{-2}

C^{-2}

ZIMSEC Physics Paper 1, November 2004, Q1

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