JEE Advanced 2017 Paper 2

Paragraph for next 2 questions Consider a simple RC circuit as shown in Figure 1.Process 1 :In the circuit the switch S is closed at t = 0 and the capacitor is fully charged to voltage $V_0$ (i.e., chargingcontinues for time T > > RC). In the process some dissipation $(E_D)$ occurs across the resistance R. The amount of energy finally stored in the fully charged capacitor is $E_C$Process 2 In a different process the voltage is first set to $\frac{V_0}{3}$ and maintained for a charging time T > > RC. Then the voltage is raised to $\frac{2V_0}{3}$ without discharging the capacitor and again maintained for a time T > > RC. The process is repeated one more time by raising the voltage to $V_0$ and the capacitor is charged to the same final voltage $V_0$ as in Process 1.These two processes are depicted in Figure 2.