Given: The inductance in the circuit is $$27 mH$$. The capacitance in the circuit is $$30mu F$$. To find: The angular frequency of free oscillations. The resonant frequency is given by $$omega _{r}=dfrac{1}{sqrt{LC}}\\=dfrac{1}{sqrt{27 imes10^{-3} imes 30 imes 10^{-6}}}$$ $$Rightarrow1111.11rad/s$$    or  $$Rightarrow1.11 imes10^3 rad/s$$