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The electric field at a point on the equatorial plane at a distance $$r$$ from the centre of a dipole having dipole moment $$\overrightarrow{P}$$ is given by: ($$r\gg$$ separation of two charges forming the dipole, $$\varepsilon_{0} =$$ permittivity of free space)  1. $$\overrightarrow{E}=\dfrac{\overrightarrow{P}}{4\pi \varepsilon _{0}r^{3}}$$ 2. $$\overrightarrow{E}=\dfrac{2\overrightarrow{P}}{\pi \varepsilon _{0}r^{3}}$$ 3. $$\overrightarrow{E}=-\dfrac{\overrightarrow{P}}{4\pi \varepsilon _{0}r^{2}}$$ 4. $$\overrightarrow{E}=-\dfrac{\overrightarrow{P}}{4\pi \varepsilon _{0}r^{3}}$$

Subtopic:  Electric Dipole |
62%
From NCERT
NEET - 2020
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The acceleration of an electron due to the mutual attraction between the electron and a proton when they are $$1.6~\mathring{A}$$ apart is:
$$\left(\dfrac{1}{4 \pi \varepsilon_0}=9 \times 10^9~ \text{Nm}^2 \text{C}^{-2}\right)$$

 1 $$10^{24} ~\text{m/s}^2$$ 2 $$10^{23} ~\text{m/s}^2$$ 3 $$10^{22}~\text{m/s}^2$$ 4 $$10^{25} ~\text{m/s}^2$$
Subtopic:  Coulomb's Law |
75%
From NCERT
NEET - 2020
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The electric field at a distance $$\frac{3R}{2}$$ from the centre of a charged conducting spherical shell of radius $$R$$ is $$E$$. The electric field at a distance $$\frac{R}{2}$$ from the centre of the sphere is:
1. $$E$$
2. $$\frac{E}{2}$$
3. $$\frac{E}{3}$$
4. zero

Subtopic:  Gauss's Law |
84%
From NCERT
AIPMT - 2010
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A hollow conducting sphere of radius $$1~\text{m}$$ is given a positive charge of $$10~\mu\text{C}$$. The electric field at the centre of the hollow sphere will be:
 1 $$60\times10^{3}~\text{Vm}^{-1}$$ 2 $$90\times10^{3}~\text{Vm}^{-1}$$ 3 zero 4 infinite
Subtopic:  Gauss's Law |
93%
From NCERT
AIPMT - 1998
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The electric field at centre $$O$$ of a semicircle of radius $$a$$ having linear charge density $$\lambda$$ is given by:

 1 $$\dfrac{2\lambda}{\epsilon_0 a}$$ 2 $$\dfrac{\lambda\pi}{\epsilon_0 a}$$ 3 $$\dfrac{\lambda}{2\pi \epsilon_0 a}$$ 4 $$\dfrac{\lambda}{\pi \epsilon_0 a}$$
Subtopic:  Electric Field |
82%
From NCERT
AIPMT - 2000
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If a charge $$Q$$ is situated at the corner of a cube, the electric flux passing through all six faces of the cube is:

 1 $$\frac{Q}{6\varepsilon_0}$$ 2 $$\frac{Q}{8\varepsilon_0}$$ 3 $$\frac{Q}{\varepsilon_0}$$ 4 $$\frac{Q}{2\varepsilon_0}$$

Subtopic:  Gauss's Law |
67%
From NCERT
AIPMT - 2000
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Who evaluated the mass of electron indirectly with help of charge:
1. Thomson
2. Millikan
3. Rutherford
4. Newton

Subtopic:  Electric Charge |
77%
From NCERT
AIPMT - 2000
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A charge $$q$$ is placed in a uniform electric field $$E.$$ If it is released, then the kinetic energy of the charge after travelling distance $$y$$ will be:

 1 $$qEy$$ 2 $$2qEy$$ 3 $\frac{qEy}{2}$ 4 $\sqrt{qEy}$
Subtopic:  Electric Field |
76%
From NCERT
AIPMT - 1998
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The electric field at the equator of a dipole is $$E.$$ If the strength of the dipole and distance are now doubled, then the electric field will be:

 1 $$E/2$$ 2 $$E/8$$ 3 $$E/4$$ 4 $$E$$
Subtopic:  Electric Dipole |
66%
From NCERT
AIPMT - 1998
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A point $$Q$$ lies on the perpendicular bisector of an electric dipole of dipole moment $$p.$$ If the distance of $$Q$$ from the dipole is $$r$$ (much larger than the size of the dipole), then the electric field at $$Q$$ is proportional to:
1. $$p^{2}$$ and $$r^{-3}$$
2. $$p$$ and $$r^{-2}$$
3. $$p^{-1}$$ and $$r^{-2}$$
4. $$p$$ and $$r^{-3}$$

Subtopic:  Electric Dipole |
86%
From NCERT
AIPMT - 1998
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