\(L =27 \,mH 27 \times 10^{-3}\)

Angular frequency of free oscillations \(\omega_{ r }=\frac{1}{\sqrt{L C}}\)

\(\frac{1}{\sqrt{27 \times 10^{-3} \times 30 \times 10^{-6}}}=\frac{1}{9 \times 10^{-4}}\)\(=1.11 \times 10^{3}\, rad / s\)

Hence, the angular frequency of free oscillations of the circuit is \(1.11 \times 10^{3}\; rad / s\)