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MCQ (Single Correct Answer)

1

An electric dipole with dipole moment $5 \times 10^{-6} \mathrm{Cm}$ is aligned with the direction of a uniform electric field of magnitude $4 \times 10^5 \mathrm{~N} / \mathrm{C}$. The dipole is then rotated through an angle of $60^{\circ}$ with respect to the electric field. The change in the potential energy of the dipole is:

NEET 2025
2

Two identical charged conducting spheres $A$ and $B$ have their centres separated by a certain distance. Charge on each sphere is $q$ and the force of repulsion between them is $F$. A third identical uncharged conducting sphere is brought in contact with sphere $A$ first and then with $B$ and finally removed from both. New force of repulsion between spheres $A$ and $B$ (Radii of $A$ and $B$ are negligible compared to the distance of separation so that for calculating force between them they can be considered as point charges) is best given as:

NEET 2025
3

A metal cube of side $$5 \mathrm{~cm}$$ is charged with $$6 \mu \mathrm{C}$$. The surface charge density on the cube is

NEET 2024 (Re-Examination)
4

The value of electric potential at a distance of $$9 \mathrm{~cm}$$ from the point charge $$4 \times 10^{-7} \mathrm{C}$$ is [Given $$\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{~N} \mathrm{~m}^2 \mathrm{C}^{-2}$$] :

NEET 2024 (Re-Examination)
5

A thin spherical shell is charged by some source. The potential difference between the two points $$C$$ and $$P$$ (in V) shown in the figure is:

(Take $$\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9$$ SI units)

NEET 2024 Physics - Electrostatics Question 5 English

NEET 2024
6

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: The potential (V) at any axial point, at $$2 \mathrm{~m}$$ distance $$(r)$$ from the centre of the dipole of dipole moment vector $$\vec{P}$$ of magnitude, $$4 \times 10^{-6} \mathrm{C} \mathrm{m}$$, is $$\pm 9 \times 10^3 \mathrm{~V}$$.

(Take $$\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 \mathrm{SI}$$ units)

Reason R: $$V= \pm \frac{2 P}{4 \pi \epsilon_0 r^2}$$, where $$r$$ is the distance of any axial point, situated at $$2 \mathrm{~m}$$ from the centre of the dipole.

In the light of the above statements, choose the correct answer from the options given below:

NEET 2024
7

According to Gauss law of electrostatics, electric flux through a closed surface depends on :

NEET 2023 Manipur
8

A charge $$\mathrm{Q} ~\mu \mathrm{C}$$ is placed at the centre of a cube. The flux coming out from any one of its faces will be (in SI unit) :

NEET 2023 Manipur
9

If a conducting sphere of radius $$\mathrm{R}$$ is charged. Then the electric field at a distance $$\mathrm{r}(\mathrm{r} > \mathrm{R})$$ from the centre of the sphere would be, $$(\mathrm{V}=$$ potential on the surface of the sphere)

NEET 2023 Manipur
10

An electric dipole is placed at an angle of $$30^{\circ}$$ with an electric field of intensity $$2 \times 10^{5} \mathrm{NC}^{-1}$$. It experiences a torque equal to $$4 ~\mathrm{N~m}$$. Calculate the magnitude of charge on the dipole, if the dipole length is $$2 \mathrm{~cm}$$.

NEET 2023
11

If $$\oint_\limits{s} \vec{E} \cdot \overrightarrow{d S}=0$$ over a surface, then:

NEET 2023
12

An electric dipole is placed as shown in the figure.

NEET 2023 Physics - Electrostatics Question 12 English

The electric potential (in 102 V) at point P due to the dipole is ($$\in_0$$ = permittivity of free space and $$\frac{1}{4 \pi \epsilon_{0}}$$ = K) :

NEET 2023
13

Six charges +q, $$-$$q, +q, $$-$$q, +q, and $$-$$q are fixed at the corners of a hexagon of side d as shown in the figure. The work done in bringing a charge q0 to the centre of the hexagon from infinity is

($${\varepsilon _0}$$ - permittivity of free space)

NEET 2022 Phase 2 Physics - Electrostatics Question 13 English

NEET 2022 Phase 2
14

The angle between the electric lines of force and the equipotential surface is

NEET 2022 Phase 1
15

Two hollow conducting spheres of radii R1 and R2 (R1 >> R2) have equal charges. The potential would be

NEET 2022 Phase 1
16

Two point charges $$-$$q and +q are placed at a distance of L, as shown in the figure.

NEET 2022 Phase 1 Physics - Electrostatics Question 15 English

The magnitude of electric field intensity at a distance R(R >> L) varies as:

NEET 2022 Phase 1
17
Polar molecules are the molecules :
NEET 2021
18
A dipole is placed in an electric field as shown. In which direction will it move?

NEET 2021 Physics - Electrostatics Question 17 English
NEET 2021
19
Two charged spherical conductors of radius R1 and R2 are connected by a wire. Then the ratio of surface charge densities of the spheres ($$\sigma$$1 / $$\sigma$$2) is :
NEET 2021
20
Twenty seven drops of same size are charged at 220V each. They combine to form a bigger drop. Calculate the potential of the bigger drop.
NEET 2021
21
A short electric dipole has a dipole moment of 16 $$ \times $$ 10-9 Cm. The electric potential due to the dipole at a point at a distance of 0.6 m from the centre of the dipole, situated on a line making an angle of $$60^\circ $$ with the dipole axis is :

$$\left( {{1 \over {4\pi {\varepsilon _0}}} = 9 \times {{10}^9}N{m^2}/{C^2}} \right)$$
NEET 2020 Phase 1
22
In a certain region of space with volume 0.2 m3, the electric potential is found to be 5 V throughout. The magnitude of electric field in this region is :
NEET 2020 Phase 1
23
A spherical conductor of radius 10 cm has a charge of 3.2 $$ \times $$ 10-7 C distributed uniformly. That is the magnetude of electric field at a point 15 cm from the centre of the sphere?
$$\left( {{1 \over {4\pi {\varepsilon _0}}} = 9 \times {{10}^9}N{m^2}/{c^2}} \right)$$
NEET 2020 Phase 1
24
A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre :
NEET 2019
25
Two point charges A and B, having charges +Q and – Q respectively, are placed at certain distance apart and force acting between them is F. If 25% charge of A is transferred to B, then force between the charges becomes :
NEET 2019
26
Two parallel infinite line charges with linear charge densities +$$\lambda $$ C/m and -$$\lambda $$ C/m are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges?
NEET 2019
27
An electron falls from rest through a vertical distance h in a uniform and vertically upward directed electric field E. The direction of electric field is now reversed, keeping its magnitude the same. A proton is allowed to fall from rest in it through the same vertical distance h. The time of fall of the electron, in comparison to the time of fall of the proton is
NEET 2018
28
A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field $$\overrightarrow E $$ . Due to the force q$$\overrightarrow E $$ , its velocity increases from 0 to 6 m s–1 in 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
NEET 2018
29
The diagrams below show regions of equipotentials.

NEET 2017 Physics - Electrostatics Question 70 English
A positive charge is moved from A to B in each diagram.
NEET 2017
30
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 (musch greater than atomic size) apart is zero, then $$\Delta $$e is of the order of
[Given : mass of hydrogen mh = 1.67 $$ \times $$ 10$$-$$27 kg]
NEET 2017
31
An electric dipole is placed at an angle of 30o with an electric field intensity 2 $$ \times $$ 105 N C$$-$$1. It experiences a torque equal to 4 N m. The charge on the dipole, if the dipole length is 2 cm, is
NEET 2016 Phase 2
32
Two identical charged spheres suspended from a common point by two massless strings of lengths $$l$$, are initially at a distance d(d < < $$l$$) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as
NEET 2016 Phase 1
33
If potential (in volts) in a region is expressed as V(x, y, z) = 6xy $$-$$ y + 2yz, the electric field (in N/C) at point (1, 1, 0) is
AIPMT 2015
34
The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius 'a' centred at the origin of the field, will be given by
AIPMT 2015 Cancelled Paper
35
In a region, the potential is represented by V(x, y, z) = 6x $$-$$ 8xy $$-$$ 8y + 6yz,   where $$V$$ is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is
AIPMT 2014
36
A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere rrespectively are
AIPMT 2014
37
An electric dipole of dipole moment p is aligned parallel to a uniform electric field E. The energy required to rotate the dipole by 90o is
NEET 2013 (Karnataka)
38
A charge q is placed at the centre of the line joining two equal charges Q. The system of the three charges will be in equilibrium if q is equal to
NEET 2013 (Karnataka)
39
Two pith balls carrying equal charges are suspended from a common point by strings of equal length, the equilibrium separation between them is r. Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now become

NEET 2013 Physics - Electrostatics Question 62 English
NEET 2013
40
A, B and C are three points in a uniform electric field. The electric potential is

NEET 2013 Physics - Electrostatics Question 63 English
NEET 2013
41
Two metallic spheres of radii 1 cm and 3 cm are given charges of $$-$$1 $$ \times $$ 10$$-$$2 C and 5 $$ \times $$ 10$$-$$2 C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is
AIPMT 2012 Mains
42
Four point charges $$-$$Q, $$-$$q, 2q and 2Q are placed, one at each corner of the square. The relation between Q and q for which the potential at the centre of the square is zero is
AIPMT 2012 Prelims
43
What is the flux through a cube of side $$a$$ if a point charge of q is at one of its corner?
AIPMT 2012 Prelims
44
An electric dipole of moment p is placed in an electric field of intensity E. The dipole acquires a position such that the axis of the dipole makes an angle $$\theta $$ with the direction of the field. Assuming that the potential energy of the dipole to be zero when $$\theta $$ = 90o, the torque and the potential energy of the dipole will respectively be
AIPMT 2012 Prelims
45
Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC, 2$$a$$. D and E are the mid points of BC and CA. The work done in taking a charge Q from D to E is

AIPMT 2011 Mains Physics - Electrostatics Question 53 English
AIPMT 2011 Mains
46
The electric potential V at any point (x, y, z), all in metres in space is given by V = 4x2 volt. The electric field at the point (1, 0, 2) in volt/meter, is
AIPMT 2011 Mains
47
A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will
AIPMT 2011 Prelims
48
Four electric charges +q, +q, $$-$$ q and $$-$$ q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, midway between the two charges + q and +q, is

AIPMT 2011 Prelims Physics - Electrostatics Question 54 English
AIPMT 2011 Prelims
49
The electric field at a distance $${{3R} \over 2}$$ from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance $${R \over 2}$$ from the centre of the sphere is
AIPMT 2010 Mains
50
Two positives ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be (e being the charge on an electron)
AIPMT 2010 Prelims
51
A square surface of side L meter in the plane of the paper is placed in a uniform electric field $$E$$(volt/m) acting along the same plane at an angle $$\theta $$ with the horizontal side of the square as shown in figurre.

AIPMT 2010 Prelims Physics - Electrostatics Question 50 English
The electric flux linked to the surface, in units of volt m is
AIPMT 2010 Prelims
52
The electric potential at a point (x, y, z) is given by V = $$-$$x2y $$-$$ xz3 + 4

The electric field at that point is
AIPMT 2009
53
Three concentric spherical shells have radii a, b and c (a < b < c) anf have surface charge densities $$\sigma $$, $$-$$$$\sigma $$ and $$\sigma $$ respectively. If VA, VB and VC denote the potentials of the three shells, then, for c = a + b, we have
AIPMT 2009
54
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

AIPMT 2008 Physics - Electrostatics Question 46 English
AIPMT 2008
55
The electric potential at a point in free space due to charge Q coulomb is Q $$ \times $$ 1011 volts. The electric field at that point is
AIPMT 2008
56
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
AIPMT 2007
57
A hollow cylinder has a charge q coulomb within it. If $$f$$ is the electric flux in units of voltmeter associated with the curved surface B, the flux linked with the plane surface A in units of V-m will be

AIPMT 2007 Physics - Electrostatics Question 44 English
AIPMT 2007
58
Charges +q and $$-$$q are placed at points A and B respectively which are a distance 2L apart, C is the midnight between A and B. The work done in moving a charge + Q along the semicircle CRD is

AIPMT 2007 Physics - Electrostatics Question 43 English
AIPMT 2007
59
A square surface of side L metres is in the plane of the paper. A uniform electric field $$\overrightarrow E $$ (volt/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 inits associated with the surface is

AIPMT 2006 Physics - Electrostatics Question 40 English
AIPMT 2006
60
An electric dipole of moment $$\overrightarrow p $$ is lying along a uniform electric field $$\overrightarrow E $$. The work done in rotating the dipole by 90o is
AIPMT 2006
61
As per the diagram a point charge +q is placed at the origin O. Work done in taking another point charge $$-$$Q from the point A [coordinates (0, $$a$$)] to another point B

AIPMT 2005 Physics - Electrostatics Question 39 English
AIPMT 2005
62
Two charges q1 and q2 are placed 30 cm apart, as shown in the figure. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to D.

The change in the potential energy of the system is $${{{q_3}} \over {4\pi {\varepsilon _0}}}$$ where k is

AIPMT 2005 Physics - Electrostatics Question 38 English
AIPMT 2005
63
An electric dipole has the magnitude of its charge as q and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, the force on it and its potential energy are respectively
AIPMT 2004
64
A bullet of mass 2 g is having a charge of 2 $$\mu $$C. Through what potential difference must it be accelerated, starting from rst, to acquire a speed of 10 m/s ?
AIPMT 2004
65
A charge q is located at the centre of a cube. The electric flux through any face is
AIPMT 2003
66
Some charge is being given to a conductor. Then its potential is
AIPMT 2002
67
Identical charges ($$-$$q) are placed at each corners of cube of side b then electrostatic potential energy of charge (+q) which is placed at centre of cube will be
AIPMT 2002
68
A charge Q$$\mu $$C is placed at the centre of a cube, the flux coming out from each face will be
AIPMT 2001
69
A dipole of dipole moment $$\overrightarrow p $$ is placed in uniform electric field $$\overrightarrow E $$ then torque acting on it is given by
AIPMT 2001
70
Electric field at centre O of semicircle of radius $$a$$ having linear charge density $$\lambda $$ given as

AIPMT 2000 Physics - Electrostatics Question 29 English
AIPMT 2000
71
A charge Q is situated at the corner of a cube, the electric flux passed through all the six faces of the cube is
AIPMT 2000
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