If L, C and R represent inductance, capacitance and resistance respectively, then which of the following have dimensions of time? (a) L/R (b) CR (c) $\sqrt{LC}$ (d) LC/R

a, b a, b, c, d a, b, c None of these

a, b, c

The correct answer is Option (3) → a, b, c $\frac{L}{R}=\frac{ML^2T^{-2}A^{-2}}{ML^2T^{-3}A^{-2}}=T$ $CR=(M^{-1}L^{-2}T^4A^2)×(ML^2T^{-3}A^{-2})=T$ $\sqrt{LC}=[(ML^2T^{-2}A^{-2})×(M^{-1}L^{-2}T^4A^2)]^{1/2}=T$