Capacitor C₁ of capacitance 1 F and capacitor C₂ of capacitance 2 F are separately charged fully by a common battery. The two capacitors are then separately allowed to discharged through equal resistors at time t=0

Step-by-step solution

Here, V₀ and R in the two C R circuits are same, hence the currents in the two discharging circuits at t=0 (V₀ / R ) will be same. We know that, time constant of a resistance and capacitance circuit is C R . Here, time constant of first circuit (capacity C₁=1 F ) is half of the time constant of second circuit (capacity C₂=2 F ). Hence, C₁ loses 50 % its initial charge sooner.