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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. $$\frac{2\lambda}{\epsilon_0 a}$$
2. $$\frac{\lambda\pi}{\epsilon_0 a}$$
3. $$\frac{\lambda}{2\pi \epsilon_0 a}$$
4. $$\frac{\lambda}{\pi \epsilon_0 a}$$

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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The unit of permittivity of free space $$\varepsilon_0$$ is:
 1 Newton metre2 / Coulomb2 2 Coulomb2 /Newton metre2 3 Coulomb2/ (Newton metre)2 4 Coulomb/Newton metre

Subtopic:  Coulomb's Law |
72%
From NCERT
AIPMT - 2004
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In Millikan oil drop experiment, a charged drop falls with a terminal velocity $$v$$. If an electric field $$E$$ is applied vertically upwards it moves with terminal velocity $$2v$$ in upward direction. If electric field reduces to $$\frac{E}{2}$$ then its terminal velocity will be:
1. $$\frac{v}{2}$$
2. $$v$$
3. $$\frac{3v}{2}$$
4. $$2v$$

Subtopic:  Electric Field |
From NCERT
AIPMT - 1999
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