\(\therefore \) Resonant frequency \(\omega=\frac{1}{\sqrt{L C}}\)

\(\therefore \) \(\omega^{2}=\frac{1}{L C} \quad\) or, \(\quad L=\frac{1}{\omega^{2} C}\)

Given \(\omega=1000\, \mathrm{s}^{-1}\) and \(C=10\, \mu \mathrm{F}\)

\(\therefore L=\frac{1}{1000 \times 1000 \times 10 \times 10^{-6}}=0.1 \,\mathrm{H}=100\, \mathrm{mH}\)