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Question: The dimensions of resistivity in terms of \(M,L,T\) and \(Q\) where \(Q\) stands for the dimensions ...

The dimensions of resistivity in terms of M,L,TM,L,T and QQ where QQ stands for the dimensions of charge, is

A

ML3T−1Q−2ML^{3}T^{- 1}Q^{- 2}

B

ML3T−2Q−1ML^{3}T^{- 2}Q^{- 1}

C

ML2T−1Q−1ML^{2}T^{- 1}Q^{- 1}

D

MLT−1Q−1MLT^{- 1}Q^{- 1}

Answer

ML3T−1Q−2ML^{3}T^{- 1}Q^{- 2}

Explanation

Solution

ρ=RAl\rho = \frac{RA}{l}i.e. dimension of resistivity is