An LC circuit a $20\;mH$ inductor and a $50 \mu F$ capacitor with an initial charge of $10\;mc$ The resistance of the circuit is negligible. Let the instant the circuit is closed be $t=0$, At what time is the total energy should equally between the inductor and the capacitor?

Question

$\begin{array}{1 1} t= \frac{T}{4}, \frac{3T}{4},\frac{5T}{4}....... \\ t= \frac{T}{8}, \frac{3T}{8},\frac{5T}{8}...... \\ t= \frac{T}{2}, \frac{3T}{2},\frac{5T}{2} \\ t= T,3T,5T \end{array} $