Question

Find the dimensions of $\frac{1}{\sqrt{LC}}$ (L = Inductance, C = Capacitance).

• A. $T^{-1}$
• B. $T^{-2}$
• C. $T$
• D. $L$

Answer 1

The correct option is A $T^{-1}$

$\frac{1}{\sqrt{LC}}$ = angular frequency of L - C oscillation

$\left[\frac{1}{\sqrt{LC}}\right]=\left[\omega \right]=\frac{1}{T}=T^{-1}$