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

1. $0$
2. $4~\mu\text{C}$
3. $16~\mu\text{C}$
4. $8~\mu\text{C}$

 
Which of the following is a correct statement?

The figure shows some equipotential lines distributed in space. A charged object is moved from point $A$ to point $B$.

Choose the correct option:

Equipotentials at a great distance from a collection of charges whose total sum is not zero are approximately:
1. spheres
2. planes
3. paraboloids
4. ellipsoids

 A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness $d_1$ and dielectric constant $K_1$ and the other has thickness $d_2$ and dielectric constant $K_2,$ as shown in the figure. This arrangement can be thought as a dielectric slab of thickness $d=(d_1+d_2),$ and effective dielectric constant $K.$ The value of $K$ is:
        

Consider a uniform electric field in the $z\text-$direction. The potential is a constant:

 
Choose the correct from the given options:

Choose the correct option:

In a region of constant potential:

Choose the correct option:

In the circuit shown in the figure initially, key $K_1$ is closed and key $K_2$ is open. Then $K_1$ is opened and $K_2$ is closed (order is important).
(Take $Q_1$ and $Q_2$ as charges on $C_1$ and $C_2$ and $V_1$ and $V_2$ as voltage respectively.)

Choose the correct option:
1. (a), (d)
2. (a), (b), (c)
3. (b), (d)
4. (a), (b), (c), (d)

If a conductor has a potential $V\neq 0$  and there are no charges anywhere else outside, then:

Choose the correct option:
1. (a), (d)
2. (a), (b), (c)
3. (a), (b)
4. (a), (b), (c), (d)