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Question: Which of the following represents the dimensions of Farad...

Which of the following represents the dimensions of Farad

A

M−1L−2T4A2M^{- 1}L^{- 2}T^{4}A^{2}

B

ML2T2A−2ML^{2}T^{2}A^{- 2}

C

ML2T2A−1ML^{2}T^{2}A^{- 1}

D

MT−2A−1MT^{- 2}A^{- 1}

Answer

M−1L−2T4A2M^{- 1}L^{- 2}T^{4}A^{2}

Explanation

Solution

C=QV=[AT][ML2T−3A−1]=[M−1L−2T4A2]C = \frac{Q}{V} = \frac{\lbrack AT\rbrack}{\lbrack ML^{2}T^{- 3}A^{- 1}\rbrack} = \lbrack M^{- 1}L^{- 2}T^{4}A^{2}\rbrack