Test on Electrostatic Potential and Capacitance-1

A battery of emf V volt, resistance R₁ and R₂, a capacitance C and switches S₁ and S₂ are connected in an electrical circuit as shown in figure. The capacitor C gets fully charged to V volt when -

In the circuit shown in figure, how does brightness of the bulb change with time after the switch S is closed ? Assume that the capacitance and it is initially uncharged -

When the key K is pressed at time t = 0 which of the following statements about the current I in the resistor AB of the given circuit is true-

In fig. shown, when switch S is closed, what will be the voltage across capacitor 2 µF and 1 µF capacitor. (consider steady state condition)

Two insulated conducting charged spheres placed far away of radii R₁ and R₂ having charges Q₁ and Q₂ respectively are connected to each other, then there is –