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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 |
75%
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 ε0 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 E/2 then its terminal velocity will be:
1. v/2
2. v
3. 3v/2
4. 2v

Subtopic:  Electric Field |
From NCERT
AIPMT - 1999
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If a charge Q µC is placed at the centre of the cube, the flux (In SI unit) coming out from any surface will be:

1.  $\frac{Q}{6{\epsilon }_{0}}$ $×$ ${10}^{-6}$

2.  $\frac{Q}{6{\epsilon }_{0}}$ $×$ ${10}^{-3}$

3.  $\frac{Q}{2{\epsilon }_{0}}$ 

4. $\frac{Q}{8{\epsilon }_{0}}$ 

Subtopic:  Gauss's Law |
86%
From NCERT
AIPMT - 2001
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A dipole of moment $\stackrel{\to }{p}$ is placed in uniform electric field $\stackrel{\to }{E}$. The torque acting on it is given by:
1. $$\vec{\tau }=\vec{p}.\vec{E}$$
2. $$\vec{\tau }=\vec{p} \times\vec{E}$$
3. $$\vec{\tau }=\vec{p}+\vec{E}$$
4. $$\vec{\tau }=\vec{p}-\vec{E}$$

Subtopic:  Electric Dipole |
90%
From NCERT
AIPMT - 2001
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