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. $(L/C)^{-1/2}$
• D. $C/L$

Answer 1

Answer: (B)

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

Answer 2

Resonance frequency of $L-C-R$ circuit is $f=\frac{1}{2 \pi \sqrt{L C}}$ $\therefore$ Dimensions of frequency $=$ dimensions of $\frac{1}{\sqrt{L C}}$ $=$ dimensions of $(L C)^{-\frac{1}{2}}$