Question

# Which one of the following has the same dimension as that of time, if $$R$$ is resistance, $$L$$ inductance and $$C$$ is capacitance?

A
RC
B
LC
C
LR
D
All of the above

Solution

## The correct option is D All of the aboveA) $$RC=ML^2T^{-3}I^{-2}.M^{-1}L^{-2}T^4I^2=T$$B) $$\sqrt {LC}=\sqrt{ML^2T^{-2}I^{-2}.M^{-1}L^{-2}T^4I^2}=\sqrt {T^2}=T$$C) $$\dfrac {L}{R}=\dfrac {ML^2T^{-2}I^{-2}}{ML^2T^{-3}I^{-2}}=T$$Physics

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