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Question: If L and R denote inductance and resistance, respectively, then the dimension of L/R is –...

If L and R denote inductance and resistance, respectively, then the dimension of L/R is –

A

M0L0T

B

M0L0T0

C

M2L0T2

D

MLT2

Answer

M0L0T

Explanation

Solution

[LR]=[LR]=[M1L2T2A2][ML2T3A2]=[T]\left\lbrack \frac{L}{R} \right\rbrack = \left\lbrack \frac{L}{R} \right\rbrack = \frac{\lbrack M^{1}L^{2}T^{- 2}A^{- 2}\rbrack}{\lbrack ML^{2}T^{- 3}A^{- 2}\rbrack} = \lbrack T\rbrack