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Question

Question: \(ML^{3}T^{- 1}Q^{- 2}\) is dimension of...

ML3T1Q2ML^{3}T^{- 1}Q^{- 2} is dimension of

A

Resistivity

B

Conductivity

C

Resistance

D

None of these

Answer

Resistivity

Explanation

Solution

Resistivity

[ρ]=[R].[A][l]where [R]=[ML2T1Q2]\lbrack\rho\rbrack = \frac{\lbrack R\rbrack.\lbrack A\rbrack}{\lbrack l\rbrack}\text{where }\lbrack R\rbrack = \lbrack ML^{2}T^{- 1}Q^{- 2}\rbrack

\therefore [ρ]=[ML3T1Q2]\lbrack\rho\rbrack = \lbrack ML^{3}T^{- 1}Q^{- 2}\rbrack