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Paper 1 · November 2004 · Units and Measurement

The unit for μo\mu_o, the permeability of a vacuum is kgms−2^{-2} and that for εo\varepsilon_o, the permittivity of a vacuum is kg−1^{-1}m−3^{-3}s4^4. If C is the speed of light in a vacuum, which of the following has units of μoεo\mu_o \varepsilon_o?

AC−2C^{-2}
BC−1C^{-1}
CCC
DC2C^2

Explanation

Units of μoεo\mu_o\varepsilon_o = kgms−2^{-2} × kg−1^{-1}m−3^{-3}s4^4 = m−2^{-2}s2^2 = (m/s)−2^{-2} = C−2C^{-2}.

ZIMSEC Physics Paper 1, November 2004, Q1

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