The charge on 500 cc of water due to protons will be: 

1.	6.0 × 1027 C	2.	2.67 × 107 C
3.	6 × 1023 C	4.	1.67 × 1023 C

Two-point charges, +q and –q are held fixed at (–d, 0) and (d, 0) respectively of an (x, y) coordinate system. Then: 

Two identical conductors of copper and aluminium are placed in an identical electric field. The magnitude of induced charge in the aluminium will be:

1. zero.

2. greater than in copper.

3. equal to that in copper.

4. less than in copper.

Three charges are placed at the vertices of an equilateral triangle of side \(a\) as shown in the following figure. The force experienced by the charge placed at the vertex A in a direction normal to BC is: 

1. $Q^2/\left(4\pi {\epsilon }_0{a}^2\right)$

2. $-Q^2/\left(4\pi {\epsilon }_0{a}^2\right)$

3. zero

4. $Q^2/\left(2\pi {\epsilon }_0{a}^2\right)$

X and Y are large, parallel conducting plates close to each other. Each face has an area A. X is given a charge Q. Y is without any charge. Points A, B, and C are as shown in the figure. The incorrect option is:

The net dipole moment of the system is of the magnitude:
         

1.  q $\times$ 2a

2.  2q $\times$ 2a

3.  q $\times$ a

4.  2 $\times$ (2q $\times$ 2a)

Two charges 2 $\mathrm{\mu C}$ and 8 $\mathrm{\mu C}$ are separated by 6 cm. The neutral point is at:

The ratio of the electric flux linked with shell \(A\) and shell \(B\) in the diagram shown below is:

An electric dipole is kept at the origin as shown in the diagram. The point A, B, C are on a circular arc with the centre of curvature at the origin. If the electric fields at A, B and C respectively are $\overrightarrow{E_1},$ $\overrightarrow{E_2},$ $\overrightarrow{E_3}$ , then which of the following is incorrect? \(\left ( d\gg l \right )\)

                
1.  $\overrightarrow{E_1}$ $=$ $-\overrightarrow{E_3}$
2.  $\overrightarrow{E_1}$ $=$ $-2\overrightarrow{E_2}$
3.  $\overrightarrow{E_1}$ $=$ $\overrightarrow{E_3}$
4.  $\overrightarrow{E_3}$ $=$ $-\overrightarrow{2E_2}$

A large non-conducting sheet S is given a uniform charge density. Two uncharged small, metal rods A and B are placed near the sheet as shown in the following diagram. Choose the incorrect option:

1.  S attracts A.

2.  S attracts B.

3.  A attracts B.

4.  S repels A.