One Farad (F) is defined as one Coulomb per Volt

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

One Farad (F) is defined as one Coulomb per Volt. Given

1\,\text{C}=1\,\text{A s}

and

1\,\text{V}=1\,\text{kg m}^{2}\text{s}^{-3}\text{A}^{-1}

, which of the following represents the SI base units of one Farad? (a)

\text{kg}^{-1}\text{m}^{-2}\text{s}^{4}\text{A}

(b)

\text{kg}^{-1}\text{m}^{-2}\text{s}^{4}\text{A}^{2}

(c)

\text{kg m}^{2}\text{s}^{-3}\text{A}^{-2}

(d)

\text{kg}^{-1}\text{m}^{-2}\text{s}^{3}\text{A}^{2}