Question 1: Palette 1/75

NEET 2026 MCQ

Which of the following statements are correct?

A. Inside a conductor, the electrostatic field is zero.

B. Electric field at the surface of a charged conductor does not depend on its surface charge density.

C. The interior of a charged conductor can have no excess charge in the static situation.

D. At the surface of a charged conductor, the electrostatic field must be normal to the surface at every point.

E. The electrostatic potential is zero everywhere inside a charged conductor.

Choose the correct answer from the options given below:

A

A, B and D only

B

A, C and E only

C

A, C and D only

D

C, D and E only

Question 2: Palette 2/75

NEET 2026 MCQ

A unit positive point charge is taken slowly through an infinitesimally thin tube that is inside a charged dielectric sphere of radius $R$, having uniform positive charge density $\rho$, as shown in the figure. The initial and final positions of the charge are marked by $A$ and $B$ at distance $2 R$ and $3 R$ respectively, from the centre of the sphere. In this process, the magnitude of the total work done on the point charge is $\frac{\rho R^2}{n \varepsilon_0}$. The value of $n$ is : ( $\varepsilon_0$ is the permittivity of vacuum)

A

18

B

2

C

6

D

9

Question 3: Palette 3/75

NEET 2026 MCQ

Consider a fixed uniformly charged insulating sphere with radius $R$ and total charge $+Q$. A point charge $-q$ ( $q \ll Q$ ) with mass $m$ is released from rest at a distance of $3 R$ from the centre of the charged sphere. When the point charge reaches the surface of the sphere, its speed is:

( $\varepsilon_0$ is the permittivity of vacuum, neglect gravitational forces).

A

$\sqrt{\frac{Q q}{4 \pi \varepsilon_0 m R}}$

B

$\sqrt{\frac{3 Q q}{4 \pi \varepsilon_0 m R}}$

C

$\sqrt{\frac{2 Q q}{3 \pi \varepsilon_0 m R}}$

D

$\sqrt{\frac{Q q}{3 \pi \varepsilon_0 m R}}$

Question 4: Palette 4/75

NEET 2026 MCQ

A point charge $Q$ is placed inside a cavity within a solid isolated conducting sphere. Consider points $A, B$ and $C$ as shown in the figure, where the magnitudes of the electric fields are $E_A, E_B, E_C$, respectively. The points $B$ and $C$ are at the same distance from the center of the solid sphere. The correct option is :

A

$E_A \neq 0, E_B< E_C$

B

$E_A=0, E_B=E_C$

C

$E_A \neq 0, E_B=E_C$

D

$E_A=0, E_B>E_C$

Question 5: Palette 5/75

NEET 2025 MCQ

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:

A

1.2 J

B

1.5 J

C

0.8 J

D

1.0 J

Question 6: Palette 6/75

NEET 2025 MCQ

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:

A

$\frac{F}{2}$

B

$\frac{3 F}{8}$

C

$\frac{3 F}{5}$

D

$\frac{2 F}{3}$

Question 7: Palette 7/75

NEET 2024 MCQ

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

A

$0.125 \times 10^{-3} \mathrm{C} \mathrm{m}^{-2}$

B

$0.25 \times 10^{-3} \mathrm{C} \mathrm{m}^{-2}$

C

$4 \times 10^{-3} \mathrm{C} \mathrm{m}^{-2}$

D

$0.4 \times 10^{-3} \mathrm{C} \mathrm{m}^{-2}$

Question 8: Palette 8/75

NEET 2024 MCQ

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

A

$4 \times 10^2 \mathrm{~V}$

B

$44.4 \mathrm{~V}$

C

$4.4 \times 10^5 \mathrm{~V}$

D

$4 \times 10^4 \mathrm{~V}$

Question 9: Palette 9/75

NEET 2024 MCQ

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)

A

$3 \times 10^5$

B

$1 \times 10^5$

C

$0.5 \times 10^5$

D

Zero

Question 10: Palette 10/75

NEET 2024 MCQ

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:

A

Both A and R are true and R is the correct explanation of A.

B

Both A and R are true and R is NOT the correct explanation of A.

C

A is true but R is false.

D

A is false but R is true.

Question 11: Palette 11/75

NEET 2023 MCQ

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

A

the area of the surface

B

the quantity of charges enclosed by the surface

C

the shape of the surface

D

the volume enclosed by the surface

Question 12: Palette 12/75

NEET 2023 MCQ

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) :

A

$\frac{Q}{\epsilon_0} \times 10^{-6}$

B

$\frac{2 \mathrm{Q}}{3 \epsilon_0} \times 10^{-3}$

C

$\frac{\mathrm{Q}}{6 \epsilon_0} \times 10^{-3}$

D

$\frac{\mathrm{Q}}{6 \epsilon_0} \times 10^{-6}$

Question 13: Palette 13/75

NEET 2023 MCQ

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)

A

$\frac{r V}{R^2}$

B

$\frac{R^2 V}{r^3}$

C

$\frac{R V}{r^2}$

D

$\frac{\mathrm{V}}{\mathrm{r}}$

Question 14: Palette 14/75

NEET 2023 MCQ

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 $2 \mathrm{~cm}$.

A

6 mC

B

4 mC

C

2 mC

D

8 mC

Question 15: Palette 15/75

NEET 2023 MCQ

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

A

the magnitude of electric field on the surface is constant.

B

all the charges must necessarily be inside the surface.

C

the electric field inside the surface is necessarily uniform.

D

the number of flux lines entering the surface must be equal to the number of flux lines leaving it.

Question 16: Palette 16/75

NEET 2023 MCQ

An electric dipole is placed as shown in the figure.

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) :

A

$\left(\frac{5}{8}\right) \mathrm{qK}$

B

$\left(\frac{8}{5}\right) \mathrm{qK}$

C

$\left(\frac{8}{3}\right) \mathrm{qK}$

D

$\left(\frac{3}{8}\right) \mathrm{qK}$

Question 17: Palette 17/75

NEET 2022 MCQ

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)

A

${{ - {q^2}} \over {4\pi {\varepsilon _0}d}}\left( {6 - {1 \over {\sqrt 2 }}} \right)$

B

Zero

C

${{ - {q^2}} \over {4\pi {\varepsilon _0}d}}$

D

${{ - {q^2}} \over {4\pi {\varepsilon _0}d}}\left( {3 - {1 \over {\sqrt 2 }}} \right)$

Question 18: Palette 18/75

NEET 2022 MCQ

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

A

0$^\circ$

B

45$^\circ$

C

90$^\circ$

D

180$^\circ$

Question 19: Palette 19/75

NEET 2022 MCQ

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

A

More on bigger sphere

B

More on smaller sphere

C

Equal on both the spheres

D

Dependent on the material property of the sphere

Question 20: Palette 20/75

NEET 2022 MCQ

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:

A

${1 \over {{R^2}}}$

B

${1 \over {{R^3}}}$

C

${1 \over {{R^4}}}$

D

${1 \over {{R^6}}}$

Question 21: Palette 21/75

NEET 2021 MCQ

Polar molecules are the molecules :

A

having a permanent electric dipole moment

B

having zero dipole moment

C

acquire a dipole moment only in the presence of electric field due to displacement of charges

D

acquire a dipole moment only when magnetic field is absent

Question 22: Palette 22/75

NEET 2021 MCQ

A dipole is placed in an electric field as shown. In which direction will it move?

A

towards the right as its potential energy will increase.

B

towards the left as its potential energy will increase.

C

towards the right as its potential energy will decrease.

D

towards the left as its potential energy will decrease.

Question 23: Palette 23/75

NEET 2021 MCQ

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 :

A

${{R_1^2} \over {R_2^2}}$

B

${{R_1^{}} \over {R_2^{}}}$

C

${{R_2^{}} \over {R_1^{}}}$

D

$\sqrt {\left( {{{{R_1}} \over {{R_2}}}} \right)} $

Question 24: Palette 24/75

NEET 2021 MCQ

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.

A

1980 V

B

660 V

C

1320 V

D

1520 V

Question 25: Palette 25/75

NEET 2020 MCQ

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 :

$\left( {{1 \over {4\pi {\varepsilon _0}}} = 9 \times {{10}^9}N{m^2}/{C^2}} \right)$

A

200 V

B

400 V

C

zero

D

50 V

Question 26: Palette 26/75

NEET 2020 MCQ

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 :

A

0.5 N/C

B

1 N/C

C

5 N/C

D

zero

Question 27: Palette 27/75

NEET 2020 MCQ

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?
$\left( {{1 \over {4\pi {\varepsilon _0}}} = 9 \times {{10}^9}N{m^2}/{c^2}} \right)$

A

1.28 $ \times $ 10⁵ N/C

B

1.28 $ \times $ 10⁶ N/C

C

1.28 $ \times $ 10⁷ N/C

D

1.28 $ \times $ 10⁴ N/C

Question 28: Palette 28/75

NEET 2019 MCQ

A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre :

A

zero as r increases for r < R, decreases as r increases for r > R

B

zero as r increases for r < R, increases as r increases for r > R.

C

decreases as r increases for r < R and for r > R.

D

increases as r increases for r < R and for r > R.

Question 29: Palette 29/75

NEET 2019 MCQ

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 :

A

F

B

${{16F} \over 9}$

C

${{9F} \over {16}}$

D

${{4F} \over 3}$

Question 30: Palette 30/75

NEET 2019 MCQ

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?

A

${{2\lambda } \over {\pi {\varepsilon _0}R}}$ N/C

B

zero

C

${\lambda \over {\pi {\varepsilon _0}R}}$ N/C

D

${\lambda \over {2\pi {\varepsilon _0}R}}$ N/C

Question 31: Palette 31/75

NEET 2018 MCQ

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

A

2 m s^–1, 4 m s^–1

B

1 m s^–1, 3 m s^–1

C

1 m s^–1, 3.5 m s^–1

D

1.5 m s^–1, 3 m s^–1

Question 32: Palette 32/75

NEET 2018 MCQ

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

A

smaller

B

5 times greater

C

10 times greater

D

equal

Question 33: Palette 33/75

NEET 2017 MCQ

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 m_h = 1.67 $ \times $ 10$-$²⁷ kg]

A

10^$-$23 C

B

10^$-$37 C

C

10^$-$47 C

D

10^$-$20 C

Question 34: Palette 34/75

NEET 2017 MCQ

The diagrams below show regions of equipotentials.


A positive charge is moved from A to B in each diagram.

A

In all the four cases the work done is the same.

B

Minimum work is required to move q in figure(I).

C

Maximum work is required to move q in figure (II).

D

Maximum work is required to move q in figure (III)

Question 35: Palette 35/75

NEET 2016 MCQ

An electric dipole is placed at an angle of 30^o 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

A

8 mC

B

2 mC

C

5 mC

D

7 $\mu $C

Question 36: Palette 36/75

NEET 2016 MCQ

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

A

v $ \propto $ x^$-$1/2

B

v $ \propto $ x^$-$1

C

v $ \propto $ x^1/2

D

v $ \propto $ x

Question 37: Palette 37/75

NEET 2015 MCQ

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

A

$ - \left( {2\widehat i + 3\widehat j + \widehat k} \right)$

B

$ - \left( {6\widehat i + 9\widehat j + \widehat k} \right)$

C

$ - \left( {3\widehat i + 5\widehat j + 3\widehat k} \right)$

D

$ - \left( {6\widehat i + 5\widehat j + 2\widehat k} \right)$

Question 38: Palette 38/75

NEET 2015 MCQ

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

A

$4\pi {\varepsilon _0}A{a^3}$

B

${\varepsilon _0}A{a^3}$

C

$4\pi {\varepsilon _0}A{a^2}$

D

$A{\varepsilon _0}{a^2}$

Question 39: Palette 39/75

NEET 2014 MCQ

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

A

$6\sqrt 5 $ N

B

30 N

C

24 N

D

$4\sqrt {35} $ N

Question 40: Palette 40/75

NEET 2014 MCQ

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

A

zero and ${Q \over {4\pi {\varepsilon _0}{R^2}}}$

B

${Q \over {4\pi {\varepsilon _0}R}}$ and zero

C

${Q \over {4\pi {\varepsilon _0}R}}$ and ${Q \over {4\pi {\varepsilon _0}{R^2}}}$

D

both are zero

Question 41: Palette 41/75

NEET 2013 MCQ

An electric dipole of dipole moment p is aligned parallel to a uniform electric field E. The energy required to rotate the dipole by 90^o is

A

p² E

B

pE

C

infinity

D

pE²

Question 42: Palette 42/75

NEET 2013 MCQ

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

A

$-$Q/4

B

Q/4

C

$-$Q/2

D

Q/2

Question 43: Palette 43/75

NEET 2013 MCQ

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

A

$\left( {{{2r} \over {\sqrt 3 }}} \right)$

B

$\left( {{{2r} \over 3}} \right)$

C

${\left( {{1 \over {\sqrt 2 }}} \right)^2}$

D

$\left( {{r \over {\root 3 \of 2 }}} \right)$

Question 44: Palette 44/75

NEET 2013 MCQ

A, B and C are three points in a uniform electric field. The electric potential is

A

maximum at C

B

same at all the three points A, B and C

C

maximum at A

D

maximum at B

Question 45: Palette 45/75

NEET 2012 MCQ

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

A

2 $ \times $ 10^$-$2 C

B

3 $ \times $ 10^$-$2 C

C

4 $ \times $ 10^$-$2 C

D

1 $ \times $ 10^$-$2 C

Question 46: Palette 46/75

NEET 2012 MCQ

What is the flux through a cube of side $a$ if a point charge of q is at one of its corner?

A

${{2q} \over {{\varepsilon _0}}}$

B

${q \over {8{\varepsilon _0}}}$

C

${q \over {{\varepsilon _0}}}$

D

${q \over {2{\varepsilon _0}}}6{a^2}$

Question 47: Palette 47/75

NEET 2012 MCQ

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

A

Q = $-$q

B

Q = $ - {1 \over q}$

C

Q = q

D

Q = ${1 \over q}$

Question 48: Palette 48/75

NEET 2012 MCQ

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 $ = 90^o, the torque and the potential energy of the dipole will respectively be

A

pEsin$\theta $,  $-$pEcos$\theta $

B

pEsin$\theta $,  $-$2pEcos$\theta $

C

pEsin$\theta $, 2pEcos$\theta $

D

pEcos$\theta $,  $-$pEsin$\theta $

Question 49: Palette 49/75

NEET 2011 MCQ

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

A

${{3qQ} \over {4\pi {\varepsilon _0}a}}$

B

${{3qQ} \over {8\pi {\varepsilon _0}a}}$

C

${{qQ} \over {4\pi {\varepsilon _0}a}}$

D

zero

Question 50: Palette 50/75

NEET 2011 MCQ

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

A

8 along negative X-axis

B

8 along positive X-axis

C

16 along negative X-axis

D

16 along positive X-axis

Question 51: Palette 51/75

NEET 2011 MCQ

A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will

A

increase four times

B

be reduced to half

C

remain the same

D

be doubled

Question 52: Palette 52/75

NEET 2011 MCQ

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

A

${1 \over {4\pi {\varepsilon _0}}}{{2q} \over L}\left( {1 + \sqrt 5 } \right)$

B

${1 \over {4\pi {\varepsilon _0}}}{{2q} \over L}\left( {1 + {1 \over {\sqrt 5 }}} \right)$

C

${1 \over {4\pi {\varepsilon _0}}}{{2q} \over L}\left( {1 - {1 \over {\sqrt 5 }}} \right)$

D

zero

Question 53: Palette 53/75

NEET 2010 MCQ

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

A

zero

B

E

C

${E \over 2}$

D

${E \over 3}$

Question 54: Palette 54/75

NEET 2010 MCQ

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)

A

${{4\pi {\varepsilon _0}F{d^2}} \over {{e^2}}}$

B

$\sqrt {{{4\pi {\varepsilon _0}F{e^2}} \over {{d^2}}}} $

C

$\sqrt {{{4\pi {\varepsilon _0}F{d^2}} \over {{e^2}}}} $

D

${{4\pi {\varepsilon _0}F{d^2}} \over {{q^2}}}$

Question 55: Palette 55/75

NEET 2010 MCQ

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.


The electric flux linked to the surface, in units of volt m is

A

EL²

B

EL²cos$\theta $

C

EL²sin$\theta $

D

zero

Question 56: Palette 56/75

NEET 2009 MCQ

The electric potential at a point (x, y, z) is given by V = $-$x²y $-$ xz³ + 4

The electric field at that point is

A

$\overrightarrow E = \widehat i2xy + \widehat j\left( {{x^2} + {y^2}} \right) + \widehat k\left( {3xz - {y^2}} \right)$

B

$\overrightarrow E = \widehat i{z^3} + \widehat jxyz + \widehat k{z^2}$

C

$\overrightarrow E = \widehat i\left( {2xy - {z^3}} \right) + \widehat jx{y^2} + \widehat k3{z^2}x$

D

$\overrightarrow E = \widehat i\left( {2xy + {z^3}} \right) + \widehat j{x^2} + \widehat k3x{z^2}$

Question 57: Palette 57/75

NEET 2009 MCQ

Three concentric spherical shells have radii a, b and c (a < b < c) anf have surface charge densities $\sigma $, $-$$\sigma $ and $\sigma $ respectively. If V_A, V_B and V_C denote the potentials of the three shells, then, for c = a + b, we have

A

V_C = V_B $ \ne $ V_A

B

V_C $ \ne $ V_B $ \ne $ V_A

C

V_C = V_B = V_A

D

V_C = V_A $ \ne $ V_B

Question 58: Palette 58/75

NEET 2008 MCQ

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

A

E along KO

B

3E along OK

C

3E along KO

D

E along OK

Question 59: Palette 59/75

NEET 2008 MCQ

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

A

$4\pi {\varepsilon _0}Q \times {10^{20}}$ volt/m

B

12$\pi $₀Q $ \times $ 10²² volt/m

C

$4\pi {\varepsilon _0}Q \times {10^{22}}$ volt/m

D

$12\pi {\varepsilon _0}Q \times {10^{20}}$ volt/m

Question 60: Palette 60/75

NEET 2007 MCQ

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

A

${{qQ} \over {2\pi {\varepsilon _0}L}}$

B

${{qQ} \over {6\pi {\varepsilon _0}L}}$

C

$-$ ${{qQ} \over {6\pi {\varepsilon _0}L}}$

D

${{qQ} \over {4\pi {\varepsilon _0}L}}$

Question 61: Palette 61/75

NEET 2007 MCQ

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

A

${q \over {2{\varepsilon _0}}}$

B

${\phi \over 3}$

C

${q \over {{\varepsilon _0}}} - \phi $

D

${1 \over 2}\left( {{q \over {{\varepsilon _0}}} - \phi } \right)$

Question 62: Palette 62/75

NEET 2007 MCQ

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

A

$\sqrt 2 qa$ along the line joining points (x = 0, y = 0, z = 0) and (x = $a$, y = a, z = 0)

B

q$a$ along the line joining points (x = 0, y = 0, z = 0) and (x = $a$, y = a, z = 0)

C

$\sqrt 2 qa$ along +x direction

D

$\sqrt 2 qa$ along +y direction.

Question 63: Palette 63/75

NEET 2006 MCQ

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

A

EL²

B

EL²/2$\varepsilon $₀

C

EL²/2

D

zero

Question 64: Palette 64/75

NEET 2006 MCQ

An electric dipole of moment $\overrightarrow p $ is lying along a uniform electric field $\overrightarrow E $. The work done in rotating the dipole by 90^o is

A

pE

B

$\sqrt 2 pE$

C

pE/2

D

2pE

Question 65: Palette 65/75

NEET 2005 MCQ

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

A

zero

B

$\left( {{{qQ} \over {4\pi {\varepsilon _0}}}{1 \over {{a^2}}}} \right).\sqrt 2 a$

C

$\left( {{{ - qQ} \over {4\pi {\varepsilon _0}}}{1 \over {{a^2}}}} \right).\sqrt 2 a$

D

$\left( {{{qQ} \over {4\pi {\varepsilon _0}}}{1 \over {{a^2}}}} \right).{a \over {\sqrt 2 }}$

Question 66: Palette 66/75

NEET 2005 MCQ

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

A

8q₁

B

6q₁

C

8q₂

D

6q₂

Question 67: Palette 67/75

NEET 2004 MCQ

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 ?

A

5 kV

B

50 kV

C

5 V

D

50 V

Question 68: Palette 68/75

NEET 2004 MCQ

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

A

2q.E and minimum

B

q.E and p.E

C

zero and minimum

D

q.E and maximum

Question 69: Palette 69/75

NEET 2003 MCQ

A charge q is located at the centre of a cube. The electric flux through any face is

A

${{2\pi q} \over {6\left( {4\pi {\varepsilon _0}} \right)}}$

B

${{4\pi q} \over {6\left( {4\pi {\varepsilon _0}} \right)}}$

C

${{\pi q} \over {6\left( {4\pi {\varepsilon _0}} \right)}}$

D

${q \over {6\left( {4\pi {\varepsilon _0}} \right)}}$

Question 70: Palette 70/75

NEET 2002 MCQ

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

A

${{ - 4\sqrt 2 {q^2}} \over {\pi {\varepsilon _0}b}}$

B

${{ - 8\sqrt 2 {q^2}} \over {\pi {\varepsilon _0}b}}$

C

${{ - 4\,{q^2}} \over {\sqrt 3 \,\pi {\varepsilon _0}b}}$

D

${{8\sqrt 2 \,{q^2}} \over {4\,\pi {\varepsilon _0}b}}$

Question 71: Palette 71/75

NEET 2002 MCQ

Some charge is being given to a conductor. Then its potential is

A

maximum at surface

B

maximum at centre

C

remain same throughout the conductor

D

maximum somewhere between surface and centre.

Question 72: Palette 72/75

NEET 2001 MCQ

A charge Q$\mu $C is placed at the centre of a cube, the flux coming out from each face will be

A

${Q \over {6{\varepsilon _0}}} \times {10^{ - 6}}$

B

${Q \over {6{\varepsilon _0}}} \times {10^{ - 3}}$

C

${Q \over {24{\varepsilon _0}}}$

D

${Q \over {8{\varepsilon _0}}}$

Question 73: Palette 73/75

NEET 2001 MCQ

A dipole of dipole moment $\overrightarrow p $ is placed in uniform electric field $\overrightarrow E $ then torque acting on it is given by

A

$\overrightarrow \tau = \overrightarrow p .\overrightarrow E $

B

$\overrightarrow \tau = \overrightarrow p \times \overrightarrow E $

C

$\overrightarrow \tau = \overrightarrow p + \overrightarrow E $

D

$\overrightarrow \tau = \overrightarrow p - \overrightarrow E $

Question 74: Palette 74/75

NEET 2000 MCQ

A charge Q is situated at the corner of a cube, the electric flux passed through all the six faces of the cube is

A

${Q \over {6{\varepsilon _0}}}$

B

${Q \over {8{\varepsilon _0}}}$

C

${Q \over {{\varepsilon _0}}}$

D

${Q \over {2{\varepsilon _0}}}$

Question 75: Palette 75/75

NEET 2000 MCQ

Electric field at centre O of semicircle of radius $a$ having linear charge density $\lambda $ given as

A

${{2\lambda } \over {{\varepsilon _0}a}}$

B

${{\lambda \pi } \over {{\varepsilon _0}a}}$

C

${\lambda \over {2\pi {\varepsilon _0}a}}$

D

${\lambda \over {\pi {\varepsilon _0}a}}$