Determine the natural frequency of an ideal circuit if the maximum voltage on the plates of its capacitor with a capacity

Determine the natural frequency of an ideal circuit if the maximum voltage on the plates of its capacitor with a capacity of C = 0.5μF is Um = 100V, and the maximum value of the current in the circuit is Im = 50mA. (160Hz)

L = CU ^ 2 / I ^ 2 = 0.5 * 10 ^ -6 * 100 ^ 2/50 ^ 2 * (10 ^ -3) ^ 2 = 2 (H)
w = 1 / √ LC = 1 / √ (2 * 0.5 * 10 ^ -6) = 1 * 10 ^ 3 rad / s
V (nu) = 1 * 10 ^ 3/2 * 3.14 = 0.160 * 10 ^ 3 = 160 Hz