AIIMS 2018 Physics Capacitors MCQ Question

When the energy stored in a capacitor is equally divided between the electric field and the magnetic field, the relationship $\frac{q^2}{2C} = \frac{1}{2} \frac{Q^2}{2C}$ leads to the conclusion that $q = \frac{Q}{\sqrt{2}}$. This indicates that the charge $q$ on the capacitor is reduced to $\frac{Q}{\sqrt{2}}$ when the energy is balanced, confirming option B as correct. Other options are not applicable or relevant to this specific relationship, as they do not provide valid alternatives or additional information regarding the energy distribution in the capacitor and inductor system.