An electric dipole is placed at an angle of $$30^\circ$$ with an electric field of intensity $$2\times 10^5 ~\text{NC}^{-1}$$. It experiences a torque equal to $$4~\text{N-m}$$. Calculate the magnitude of charge on the dipole if the dipole length is $$2~\text{cm}$$.
 1 $$2~\text{mC}$$ 2 $$8~\text{mC}$$ 3 $$6~\text{mC}$$ 4 $$4~\text{mC}$$
Subtopic:  Electric Dipole |
71%
From NCERT
NEET - 2023
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Two point charges $${-q}$$ and $${+q}$$ are placed at a distance of $${L},$$ as shown in the figure.

The magnitude of electric field intensity at a distance $${R}~({R}>>{L})$$ varies as:
 1 $$\frac{1}{{R}^{6}}$$ 2 $$\frac{1}{{R}^{2}}$$ 3 $$\frac{1}{{R}^{3}}$$ 4 $$\frac{1}{{R}^{4}}$$
Subtopic:  Electric Dipole |
70%
From NCERT
NEET - 2022
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Polar molecules are the molecules:

 1 that acquires a dipole moment only when the magnetic field is absent. 2 has a permanent electric dipole moment. 3 has zero dipole moment. 4 that acquire a dipole moment only in the presence of an electric field due to displacement of charges.
Subtopic:  Electric Dipole |
64%
From NCERT
NEET - 2021
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A dipole is placed in an electric field as shown. In which direction will it move?

 1 towards the left as its potential energy will decrease. 2 towards the right as its potential energy will increase. 3 towards the left as its potential energy will increase. 4 towards the right as its potential energy will decrease.
Subtopic:  Electric Dipole |
From NCERT
NEET - 2021
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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 $\stackrel{}{}$$$\overrightarrow{P}$$ is given by:
($$r\gg$$ separation of two charges forming the dipole, $$\epsilon_{0} =$$ permittivity of free space)
1. $$\overrightarrow{E}=\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{3}}$$

2. $$\overrightarrow{E}=\frac{2\overrightarrow{P}}{\pi \epsilon _{0}r^{3}}$$

3. $$\overrightarrow{E}=-\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{2}}$$

4. $$\overrightarrow{E}=-\frac{\overrightarrow{P}}{4\pi \epsilon _{0}r^{3}}$$

Subtopic:  Electric Dipole |
62%
From NCERT
NEET - 2020
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An electric dipole is placed at an angle of $$30^\circ$$ with an electric field intensity $$2\times10^5~ \text{N/C}$$. It experiences a torque equal to $$4 ~\text{N-m}$$. The charge on the dipole, if the dipole length is $$2~ \text{cm}$$, is:

 1 $$8~\text{mC}$$ 2 $$2~\text{mC}$$ 3 $$5~\text{mC}$$ 4 $$7~\mu \text{C}$$
Subtopic:  Electric Dipole |
87%
From NCERT
NEET - 2016
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Three-point charges + q, -2q and +q are placed at points (x=0, y=a, z=0), (x=0, y=0, z=0) and (x=a, y=0, z=0), respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are:

 1 $\sqrt{2}$qa along +y direction 2 $\sqrt{2}$qa along the line joining points (x=0, y= 0, z=0) and (x=a, y=a, z=0) 3 qa along the line joining points (x=0, y=0, z=0) and (x=a, y=a, z=0) 4 $\sqrt{2}$qa along +x direction
Subtopic:  Electric Dipole |
84%
From NCERT
AIPMT - 2007
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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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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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