Electrical circuit analyses: coil and capacitor in series
Given the frequency and the initial condition left one parameter missing in the LC circuit.

The standard LC curcuit initial condition and oscilating frequency parameters are, here assuming the initial current is zero, and the voltage is maximum:
$$
\omega_0=\sqrt{\frac{1}{LC}}\\
I(0)=-I_0 cos(\phi)=0\\
V(0)=\omega_0 L I_0 sin(\phi)=\omega_0 L I_0
$$

Evaluating:
$$
\frac{\pi}{10^{-5}}&lt;\sqrt{\frac{1}{LC}}\\
\frac{\pi}{10^{-5}}LI_0&lt;\sqrt{\frac{1}{LC}}LI_0=200
$$

Hence, both the L and C values cannot be calculated for the equality case.