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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 |
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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.  $\frac{q}{2{\epsilon }_{0}}$

3.  $\frac{q}{{\epsilon }_{0}}$

4.  $q\pi {r}^{2}$

Subtopic:  Gauss's Law |
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A charged particle q of mass m is released on the y-axis at y = a in an electric field $\stackrel{\to }{E}=-4y\stackrel{^}{j}$. The speed of particle on reaching the origin will be:

1.  $\sqrt{\frac{2a}{mq}}$

2.  $\frac{a}{\sqrt{mq}}$

3.  $2a\sqrt{\frac{q}{m}}$

4.  $2\sqrt{\frac{a}{mq}}$

Subtopic:  Electric Field |
73%
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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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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 |
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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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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 |
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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 |
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A spherical conductor of radius $$10~\text{cm}$$ has a charge of $$3.2 \times 10^{-7}~\text{C}$$ distributed uniformly. What is the magnitude of the electric field at a point $$15~\text{cm}$$ from the center of the sphere? $$\frac{1}{4\pi \varepsilon _0} = 9\times 10^9~\text{N-m}^2/\text{C}^2$$
1. $$1.28\times 10^{5}~\text{N/C}$$
2. $$1.28\times 10^{6}~\text{N/C}$$
3. $$1.28\times 10^{7}~\text{N/C}$$
4. $$1.28\times 10^{4}~\text{N/C}$$

Subtopic:  Electric Field |
64%
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NEET - 2020
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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 |
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