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# Suppose the charge of a proton and an electron differ slightly. One of them is $$-e$$, the other is ($$e+\Delta e$$). If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance $$d$$ (much greater than atomic size) apart is zero, then $$\Delta e$$ is of the order of? (Given mass of hydrogen ${\mathrm{}}_{}$$$m_h = 1.67\times 10^{-27}~\text{kg}$$) 1. $$10^{-23}~\text{C}$$ 2. $$10^{-37}~\text{C}$$ 3. $$10^{-47}~\text{C}$$ 4. $$10^{-20}~\text{C}$$

Subtopic:  Coulomb's Law |
65%
From NCERT
NEET - 2017
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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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A toy car with charge $$q$$ moves on a frictionless horizontal plane surface under the influence of a uniform electric field $$\vec E.$$Due to the force $$q\vec E,$$ its velocity increases from $$0$$ to $$6~\text{m/s}$$ in a one-second duration. At that instant, the direction of the field is reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between $$0$$ to $$3$$ seconds are respectively:
1. $$2~\text{m/s}, ~4~\text{m/s}$$
2. $$1~\text{m/s}, ~3~\text{m/s}$$
3. $$1~\text{m/s}, ~3.5~\text{m/s}$$
4. $$1.5~\text{m/s},~ 3~\text{m/s}$$

Subtopic:  Electric Field |
63%
From NCERT
NEET - 2018
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What is the flux through a cube of side $$a,$$ if a point charge of $$q$$ is placed at one of its corners?
1. $$\frac{2q}{\varepsilon_0}$$
2. $$\frac{q}{8\varepsilon_0}$$
3. $$\frac{q}{\varepsilon_0}$$
4. $$\frac{q}{2\varepsilon_0}$$

Subtopic:  Gauss's Law |
88%
From NCERT
AIPMT - 2012
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A charge $$Q$$ is enclosed by a Gaussian spherical surface of radius $$R$$. If the radius is doubled, then the outward electric flux will:
 1 be reduced to half 2 remain the same 3 be doubled 4 increase four times
Subtopic:  Gauss's Law |
88%
From NCERT
AIPMT - 2011
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A thin conducting ring of radius $$R$$ is given a charge $$+Q.$$ The electric field at the centre $$O$$ of the ring due to the charge on the part $$AKB$$ of the ring is $$E.$$ The electric field at the centre due to the charge on the part $$ACDB$$ of the ring is:

1. $$3E$$ along $$KO$$
2. $$E$$ along $$OK$$
3. $$E$$ along $$KO$$
4. $$3E$$ along $$OK$$

Subtopic:  Electric Field |
75%
From NCERT
AIPMT - 2008
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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 hollow cylinder has a charge $$q$$ coulomb within it (at the geometrical centre). If $$\phi$$ is the electric flux in units of Volt-meter associated with the curved surface $$B,$$ the flux linked with the plane surface $$A$$ in units of volt-meter will be:

1. $$\frac{1}{2}\left(\frac{q}{\varepsilon_0}-\phi\right)$$
2. $$\frac{q}{2\varepsilon_0}$$
3. $$\frac{\phi}{3}$$
4. $$\frac{q}{\varepsilon_0}-\phi$$

Subtopic:  Gauss's Law |
74%
From NCERT
AIPMT - 2007
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A square surface of side $$L$$ (m) is in the plane of the paper. A uniform electric field $$\vec{E}$$ (V/m), also in the plane of the paper, is limited only to the lower half of the square surface, (see figure). The electric flux in SI units associated with the surface is:

 1 $$EL^2/ ( 2ε_0 )$$ 2 $$EL^2 / 2$$ 3 zero 4 $$EL^2$$
Subtopic:  Gauss's Law |
81%
From NCERT
AIPMT - 2006
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Two-point charges $$+8q$$ and $$-2q$$ are located at $$x=0$$ and $$x=L$$ respectively. The location of a point on the $$x\text-$$axis at which the net electric field due to these two point charges is zero is:
1. $$8L$$
2. $$4L$$
3. $$2L$$
4. $$\frac{L}{4}$$

Subtopic:  Electric Field |
73%
From NCERT
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