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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 |
58%
From NCERT
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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-axis is along $\stackrel{^}{i}$. 2 The electric field $\stackrel{\to }{E}$ at all points on the x-axis has the same direction. 3 Dipole moment is 2qd directed along $\stackrel{^}{i}$. 4 Work has to be done in bringing a test charge from infinity to the origin.
Subtopic:  Electric Dipole |
From NCERT
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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. ${Q}^{2}/\left(2\pi {\epsilon }_{0}{a}^{2}\right)$

Subtopic:  Coulomb's Law |
63%
From NCERT
AIIMS - 2003
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The net dipole moment of the system is of the magnitude:

1.  q $×$ 2a

2.  2q $×$ 2a

3.  q $×$ a

4.  2 $×$ (2q $×$ 2a)

Subtopic:  Electric Dipole |
73%
From NCERT
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Two charges 2 $\mathrm{\mu C}$ and 8 $\mathrm{\mu C}$ are separated by 6 cm. The neutral point is at:

 1 4 cm from 2  μC. 2 2 cm from 2  μC . 3 2 cm from 8  μC . 4 3 cm from 8  μC .

Subtopic:  Coulomb's Law |
78%
From NCERT
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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%
From NCERT
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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 $\stackrel{\to }{{E}_{1}},$ $\stackrel{\to }{{E}_{2}},$ $\stackrel{\to }{{E}_{3}}$ , then which of the following is incorrect? $$\left ( d\gg l \right )$$

1.  $\stackrel{\to }{{E}_{1}}$ $=$ $-\stackrel{\to }{{E}_{3}}$
2.  $\stackrel{\to }{{E}_{1}}$ $=$ $-2\stackrel{\to }{{E}_{2}}$
3.  $\stackrel{\to }{{E}_{1}}$ $=$ $\stackrel{\to }{{E}_{3}}$
4.  $\stackrel{\to }{{E}_{3}}$ $=$ $-\stackrel{\to }{2{E}_{2}}$

Subtopic:  Electric Dipole |
From NCERT
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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%
From NCERT
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The figure shows the electric lines of force emerging from a charged body. If the electric field at $$A$$ and $$B$$ are $$E_A$$ and $$E_B$$ respectively and if the displacement between $$A$$ and $$B$$ is $$r,$$ then:

1. $$E_A>E_B$$

2. $$E_A<E_B$$

3. ${E}_{A}=\frac{{E}_{B}}{r}$

4. ${E}_{A}=\frac{{E}_{B}}{{r}^{2}}$

Subtopic:  Electric Field |
89%
From NCERT
PMT - 1986
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Which of the following graphs shows the variation of electric field $$E$$ due to a hollow spherical conductor of radius $$R$$ as a function of distance from the centre of the sphere?

 1 2 3 4
Subtopic:  Gauss's Law |
85%
From NCERT
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