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# The net dipole moment of the system is of the magnitude:            1. $$q\times 2a$$ 2. $$2q \times 2a$$ 3. $$q\times a$$ 4. $$2\times (2q\times 2a)$$

Subtopic:  Electric Dipole |
73%
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Two charges $$2~\mu\text{C}$$ and $$8~\mu\text{C}$$ are separated by $$6$$ cm. The neutral point is at:
 1 $$4$$ cm from $$2~\mu\text{C}$$. 2 $$2$$ cm from $$2~\mu\text{C}$$. 3 $$2$$ cm from $$8~\mu\text{C}$$. 4 $$3$$ cm from $$8~\mu\text{C}$$.
Subtopic:  Coulomb's Law |
78%
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The ratio of the electric flux linked with shell $$A$$ and shell $$B$$ in the diagram shown below is:

 1 $$1: 1$$ 2 $$1: 2$$ 3 $$1: 4$$ 4 $$4: 2$$
Subtopic:  Gauss's Law |
88%
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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 $$\vec E_1,\vec E_2,\vec E_3,$$ then which of the following is incorrect? $$\left ( d\gg l \right )$$

1. $$\vec E_1=-\vec E_3$$
2. $$\vec E_1=-2\vec E_2$$
3. $$\vec E_1=\vec E_3$$
4. $$\vec E_3=-2\vec E_2$$

Subtopic:  Electric Dipole |
50%
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An electric dipole is placed at the centre of a sphere. Which of the following statements is correct?

 1 The electric flux through the sphere is zero. 2 The electric field is zero at every point on the sphere. 3 The electric field is zero at every point inside the sphere. 4 The electric field is uniform inside the sphere.
Subtopic:  Electric Dipole |
69%
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A charged particle q of mass m is released on the $$y\text-$$axis at $$y=a$$ in an electric field $$\vec E = -4y \hat{j}.$$ The speed of particle on reaching the origin will be:
1. $$\sqrt{\frac{2 a}{m q}}$$
2. $$\frac{a}{\sqrt{m q}}$$
3. $$2 a \sqrt{\frac{q}{m}}$$
4. $$2 \sqrt{\frac{a}{m q}}$$

Subtopic:  Electric Field |
73%
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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. $$q \pi r^2$$

Subtopic:  Gauss's Law |
73%
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Four charges are arranged at the corners of a square $$ABCD$$ as shown in the figure. The force on a positive charge kept at the center of the square is:

 1 zero 2 along diagonal $$AC$$ 3 along diagonal $$BD$$ 4 perpendicular to the side $$AB$$

Subtopic:  Coulomb's Law |
68%
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Two-point charges, $$+q$$ and $$-q$$ are held fixed at $$(-d,0)$$ and $$(d,0)$$ respectively of an $$(x,y)$$ coordinate system. Then:
 1 $$E$$ at all points on the $$y\text-$$axis is along $$\hat i.$$ 2 The electric field $$\vec E$$ at all points on the $$x\text-$$axis has the same direction. 3 Dipole moment is $$2qd$$ directed along $$\hat i.$$ 4 Work has to be done in bringing a test charge from infinity to the origin.
Subtopic:  Electric Dipole |
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The charge on $$500~\text{cc}$$ of water due to protons will be:

 1 $$6.0\times 10^{27}~\text{C}$$ 2 $$2.67\times 10^{7}~\text{C}$$ 3 $$6\times 10^{23}~\text{C}$$ 4 $$1.67\times 10^{23}~\text{C}$$
Subtopic:  Electric Charge |
59%
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