Answer :

capacitor is connected to a battery at t = 0. We have to consider two points. Point A is on the connecting wires and B is in between the plates. The current flows through the battery up to the capacitor is fully charged. So there is a current through point A as long as the charging is not complete.

Capacitor has no dielectric. Without a medium, how can a current flows through the plates of a capacitor. So there is no current flow through the point B.

Conclusion : A capacitor with no dielectric is connected to a battery at t = 0, no current will pass through capacitor plates and there is only current pass through connecting wire which is used to connect the capacitor with battery up to capacitor is fully charged. So option B and C are correct.

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