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Question

Question: If \(C\) and \(R\) represent capacitance and resistance respectively, then the dimensions of \(RC\) ...

If CC and RR represent capacitance and resistance respectively, then the dimensions of RCRC are –

A

M0L0T2M^{0}L^{0}T^{2}

B

M0L0TM^{0}L^{0}T

C

ML1ML^{- 1}

D

None of the above

Answer

M0L0TM^{0}L^{0}T

Explanation

Solution

RC=TRC = T

[R]=[ML2T3I2]\lbrack R\rbrack = \lbrack ML^{2}T^{- 3}I^{- 2}\rbrack and [C]=[M1L2T4I2]\lbrack C\rbrack = \lbrack M^{- 1}L^{- 2}T^{4}I^{2}\rbrack