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