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Question

Question: Dimensional formula of capacitance is...

Dimensional formula of capacitance is

A

c2g0p−2c^{2}g^{0}p^{- 2}

B

ML2T4A−2ML^{2}T^{4}A^{- 2}

C

MLT−4A2MLT^{- 4}A^{2}

D

M−1L−2T−4A−2M^{- 1}L^{- 2}T^{- 4}A^{- 2}

Answer

c2g0p−2c^{2}g^{0}p^{- 2}

Explanation

Solution

[C] = (QV)=(Q2W)=[A2T2ML2T−2]=[M−1L−2T4A2]\left( \frac{Q}{V} \right) = \left( \frac{Q^{2}}{W} \right) = \left\lbrack \frac{A^{2}T^{2}}{ML^{2}T^{- 2}} \right\rbrack = \lbrack M^{- 1}L^{- 2}T^{4}A^{2}\rbrack