The speed of light in vaccum (c), depends on two fundamental constants, the permeability of free space (μ0) and permittivity of free space (ϵ0). The speed of light is given by c=1√μ0ϵ0. The units of ϵ0 are N−1C2m−2. The units for μ0 are
A
kg−1m−1C2
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B
kg m C−2
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C
kg−1mC2
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D
kg−1s−1C2
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Solution
The correct option is Bkg m C−2 Given relation is c=1√μ0ϵ0 ⇒μ0=1ϵ0c2 ∴ units of μ0=1units of ϵ0c2 ⇒1(N−1C2m−2)(ms−1)2=Ns2C−2 ⇒(kg m s−2)s2C−2=kg m C−2