L, C and R represent physical quantities inductance, capacit... | PHYSICS - AC VOLTAGE APPLIED TO A SERIES LCR CIRCUIT | SolveeIt | Solveeit

Today, August 19

Question

L, C and R represent physical quantities inductance, capacitance and resistance respectively. The combination representing dimension of frequency is

A

LC

B

$(LC)^{- 1/2}$

C

$\left( \frac{L}{C} \right)^{- 1/2}$

D

$\frac{C}{L}$

Answer

$(LC)^{- 1/2}$

Explanation

Solution

Frequency $= \frac{1}{2\pi\sqrt{LC}}$

So the combination which represents dimension of frequency is $\frac{1}{\sqrt{LC}} = (LC)^{- 1/2}$