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. $\sqrt{LC}$
• C. $\frac{L}{R}$
• D. All of the above

Answer 1

The correct option is D All of the above

A) $RC=M{L}^2{T}^{-3}{I}^{-2}.M^{-1}{L}^{-2}{T}^4{I}^2=T$
B) $\sqrt{LC}=\sqrt{M{L}^2{T}^{-2}{I}^{-2}.M^{-1}{L}^{-2}{T}^4{I}^2}=\sqrt{T^2}=T$
C) $\frac{L}{R}=\frac{M{L}^2{T}^{-2}{I}^{-2}}{M{L}^2{T}^{-3}{I}^{-2}}=T$