Question

$L, C$ and $R$ represent the physical quantities inductance, capacitance and resistance respectively. The combinations which have the dimensions of frequency are

• A. $\frac{1}{RC}$
• B. $\frac{ R}{L}$
• C. $\frac{1}{ \sqrt{ LC}}$
• D. $\frac{C}{L}$

Answer 1

Answer: (C)

$\frac{1}{ \sqrt{ LC}}$

Answer 2

CR and $\frac{L}{R}$ both are time constants. Their unit is second.
$\therefore \frac{1}{CR} \, and \, \frac{R}{L}$ have the SI unit (second $)^{ - 1}$. Further.
resonance frequency $\omega = \frac{1}{ \sqrt{ LC}}$