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Question

The unit of permittivity of free space, ϵ0 is

A
coulomb/newtonmetre
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B
newtonmetre2/coulomb2
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C
coulomb2/newtonmetre2
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D
coulomb2/(newtonmetre)2
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Solution

The correct option is B coulomb2/newtonmetre2
We know that Force, F=14πϵ0Q1Q2r2
Thus, Newton=[ϵ0]1.(Coulomb)2(metre)2
or, [ϵ0]=(Coulomb)2Newton(metre)2

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