If the flux of the electric field through a closed surface is zero,

(a) the electric field must be zero everywhere on the surface

(b) the electric field may be zero everywhere on the surface

(c) the charge inside the surface must be zero

(d) the charge in the vicinity of the surface must be zero.

Choose the correct option 

1. (a) , (b) 

2. (b) , (c) 

3. (d) only

4. (a) , (d) 

An electric dipole is placed at the centre of a sphere. Mark the correct options:

Choose the correct option: 

1. (a), (c) 

2. (b), (c) 

3. (d) only

4. (a), (d) 

(a) A
(b) B
(c) C
(d) D

Choose the correct option 

1. (a), (c)

2. (b), (c)

3. (d) only

4. (a), (d)

(a) is increased
(b) is decreased
(c) remains unchanged
(d) remains zero

Choose the correct option 

1. (a), (b) 

2. (b), (c) 

3. (d) only

4. (c), (d) 

The figure shows a closed surface which intersects a conducting sphere. If a positive charged is placed at the point P, the flux of the electric field through the closed surface

(a) will remain zero
(b) will become positive
(c) will become negative
(d) will become undefined

Choose the correct option 

1. (a), (b) 

2. (b), (c) 

3. (b) only

4. (a), (d)

Two metal spheres of capacitances \(C_1\) and \(C_2\) carry some charges. They are put in contact and then separated. The final charges \(Q_1\) and \(Q_2\) on them will satisfy;
1.  \(\dfrac{{Q}_{1}}{{Q}_{2}}<\dfrac{{C}_{1}}{{C}_{2}}\)
2.  \(\dfrac{{Q}_{1}}{{Q}_{2}}=\dfrac{{C}_{1}}{{C}_{2}}\)

3.  \(\dfrac{{Q}_{1}}{{Q}_{2}}>\dfrac{{C}_{1}}{{C}_{2}}\)

4.  \(\dfrac{{Q}_{1}}{{Q}_{2}}<\dfrac{{C}_{2}}{\mathrm{C}_{1}}\)

A large nonconducting sheet M is given a uniform charge density. Two uncharged small metal rods A and B are placed near the sheet as shown in the figure.

(a) M attracts A
(b) M attracts B
(c) A attracts B
(d) B attracts A

Choose the correct option 

1. (a) , (b) 

2. (c) , (d)

3. (a) , (d)

4. All of the above

A positive point charge \(Q\) is brought near an isolated metal cube.

Choose the correct option from the given ones:

Given below are four statements:

Choose the correct option:

1. zero

2. \(\dfrac{q}{\varepsilon_0}\)

3. \(\dfrac{q}{2\varepsilon_0}\)

4. \(\dfrac{2q}{\varepsilon_0}\)