A 4 μF capacitor and a resistance of 2.5 MΩ are in series with a 12 V battery. The time after which the potential difference across the capacitor is 3 times the potential difference across the resistor is: [Given ln(2)= 0.693] 

1. 13.86 s

2. 6.93 s

3. 7 s

4. 14 s

In the given figure each plate of capacitance C has partial value of charge equal to:

1. CE

2. $\frac{CE{R}_1}{R_2-r}$

3. $\frac{CE{R}_2}{R_2+r}$

4. $\frac{CE{R}_1}{R_1-r}$

A light bulb, a capacitor and a battery are connected together as shown below with the switch S initially open. When the switch S is closed, which one of the following is true?

1. The bulb will light up for an instant when
    the capacitor starts charging.
2. The bulb will light up when
    the capacitor is fully charged.
3. The bulb will not light up at all.
4. The bulb will light up and go off at regular intervals.

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

A capacitor of 4 $\mathrm{\mu F}$ is connected as shown in the circuit. The internal resistance of the battery is 0.5 $\mathrm{\Omega }$. The amount of charge on the capacitor plates will be:

1. 0 $\mathrm{\mu C}$

2. 4 $\mathrm{\mu C}$

3. 16 $\mathrm{\mu C}$

4. 8 $\mathrm{\mu C}$

In the figure below, what is the potential difference between the point A and B and between B and C, respectively, in steady state?

1. $V_{AB}=V_{BC}=100V$

2. $V_{AB}=75V,V_{BC}=25V$

3. $V_{AB}=25V,V_{BC}=75V$

4. $V_{AB}=V_{BC}=50V$