Three identical plates are kept as shown. Plate 1 is given -5Q charge and plate 3 is given Q charge. Electric field intensity at point x is

1.  $\frac{3Q}{A{\epsilon }_0}down$

2.  $\frac{3Q}{2A{\epsilon }_0}down$

3.  $\frac{3Q}{2A{\epsilon }_0}upward$

4.  $\frac{3Q}{A{\epsilon }_0}upward$

The equation of trajectory of a charged particle moving in xy plane in a uniform electric field maybe 

1.  y = 2x + 8

2.  x = $y^2$ + 4

3.  y = 2$x^2$ + 6

4.  All of these

A short electric dipole having dipole moment $p\hat{i}$ is placed at origin and a point charge +q is placed at point (0, r). The force on dipole due to charge is in:

1.  +x-direction

2.  -x-direction

3.  +y-direction

4.  -y-direction

A point charge \(q\) is placed at the center of the open face of a hemispherical surface as shown in the figure. The flux linked with the surface is:

1. zero
2. \(\frac{q}{2\varepsilon_0}\)
3. \(\frac{q}{\varepsilon_0}\)
4. \(q \pi r^2\)

Order of q/m ratio of the proton, $\alpha$-particle and electron is

1.  e > p > $\alpha$

2.  p > $\alpha$ > e

3.  e > $\alpha$ > p

4.  p > e > $\alpha$

A body can be negatively charged by

1.  Giving excess of electrons to it

2.  Removing some electrons from it

3.  Giving some protons to it

4.  Removing some neutrons from it

An electric field in space is given by $\left(10\hat{i}<mspace\; width="1em"></mspace>+<mspace\; width="1em"></mspace>3\hat{j}<mspace\; width="1em"></mspace>+<mspace\; width="1em"></mspace>4\hat{k}\right)$ unit, then electric flux through a surface of area 1 unit lying in yz plane is

1.  10 units

2.  17 units

3.  30 units

4.  40 units

When a positive charge inside a metallic shell of thickness t is moved, then induced surface charge density

1 On inner surface will same and on the outer surface will change

2 On inner surface will change and on the outer surface will same

3 On the inner and outer surface will the same

4 On the inner and outer surface will change

Charge distribution at three vertices of an equilateral of side is shown in the figure. The net electric dipole moment of the system is

1.  $2\sqrt{3}qa\hat{j}$

2.  $-2\sqrt{3}qa\hat{j}$

3.  $2\sqrt{3}qa\hat{j}+2\sqrt{3}qa\hat{j}$

4.  $-2\sqrt{3}qa\hat{j}-2\sqrt{3}qa\hat{j}$

A circular plate subtends a solid angle $\mathrm{\pi }$ steradian at a point where a point charge 2Q is kept. The total electric flux through the circular plate is

1$\frac{Q}{4{\epsilon }_0}$

2 $\frac{Q}{2{\epsilon }_0}$

3 $\frac{2Q}{3{\epsilon }_0}$

4 $\frac{2Q}{{\epsilon }_0}$