The electrostatic potential on the surface of a charged conducting sphere is \(100~\text{V}\). Two statements are made in this regard.

Statement I:	At any point inside the sphere, electric intensity is zero.
Statement II:	At any point inside the sphere, the electrostatic potential is \(100~\text{V}\).

Which of the following is a correct statement?

1.	Statement I is true but Statement II is false.
2.	Both Statement I and Statement II are false.
3.	Statement I is true, Statement II is also true and Statement I is the cause of Statement II.
4.	Statement I is true, Statement II is also true but the statements are independent.

 

Equipotential at a great distance from a collection of charges whose total sum is not zero are approximately:

A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness d₁ and dielectric constant K₁ and the other has thickness d₂ and dielectric constant K₂, as shown in the figure. This arrangement can be thought of as a dielectric slab of thickness d = d₁ + d₂ and effective dielectric constant K. K is:  

Consider a uniform electric field in the Z-direction. The potential is constant:

1.  (a, b, c)
2.  (a, c, d)
3.  (b, c, d)
4.  (c, d)

Equipotential surfaces:

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

3 Figure shows some equipotential lines distributed in space. A charged object is moved from point A to point B.

(a) The work done in Fig. (i) is the greatest

(b) The work done in Fig. (ii) is least

(c) The work done is the same in Fig. (i), Fig. (ii) and Fig. (iii)

(d) The work done in Fig. (iii) is greater than Fig. (ii) but equal to that in Fig. (i)

                    (i) Fig.         (ii) Fig.              Fig(iii)

2. A positively charged particle is released from rest in a uniform electric field. The electric potential energy of the charge:

(a) remains constant because the electric field is uniform.

(b) increases because the charge moves along the electric field.

(c) decreases because the charge moves along the electric field.

(d) decreases because the charge moves opposite to the electric field.

A parallel plate capacitor is connected to a battery as shown in the figure. Consider two situations.

Choose the correct option(s):

1. a and b
2. a and d
3. b and c
4. c and d

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

(a) there must be charges on the surface or inside itself

(b) there cannot be any charge in the body of the conductor

(c) there must be charges only on the surface

(d) there must be charges inside the surface

(1) (a, c)

(2) (a, d)

(3) (a, b)

(4) (c, d)

In the circuit shown in the figure initially key K₁ is closed and key K₂ is open. Then K₁ is opened and K₂ is closed (order is important).
[Take Q₁ and Q₂ as charges on C₁ and C₂ and V₁ and V₂ as voltage respectively.]
     
Then,

Choose the correct statement(s)
1. a and c
2. a and d
3. b and c
4. c and d