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MCQ (Single Correct Answer)

JEE Main 2024 (Online) 9th April Evening Shift
Five charges $$+q,+5 q,-2 q,+3 q$$ and $$-4 q$$ are situated as shown in the figure. The electric flux due to this configuration through the surface $...
JEE Main 2024 (Online) 4th April Evening Shift
A charge $$q$$ is placed at the center of one of the surface of a cube. The flux linked with the cube is:
JEE Main 2024 (Online) 4th April Morning Shift
An infinitely long positively charged straight thread has a linear charge density $$\lambda \mathrm{~Cm}^{-1}$$. An electron revolves along a circular...
JEE Main 2024 (Online) 1st February Evening Shift
$C_1$ and $C_2$ are two hollow concentric cubes enclosing charges $2 Q$ and $3 Q$ respectively as shown in figure. The ratio of electric flux passing ...
JEE Main 2024 (Online) 31st January Evening Shift
Force between two point charges $$q_1$$ and $$q_2$$ placed in vacuum at '$$r$$' cm apart is $$F$$. Force between them when placed in a medium having d...
JEE Main 2024 (Online) 31st January Morning Shift
Two charges $$q$$ and $$3 q$$ are separated by a distance '$$r$$' in air. At a distance $$x$$ from charge $$q$$, the resultant electric field is zero....
JEE Main 2024 (Online) 30th January Evening Shift
A particle of charge '$$-q$$' and mass '$$m$$' moves in a circle of radius '$$r$$' around an infinitely long line charge of linear charge density '$$+...
JEE Main 2024 (Online) 30th January Morning Shift
The electrostatic potential due to an electric dipole at a distance '$$r$$' varies as :
JEE Main 2024 (Online) 29th January Evening Shift
An electric field is given by $$(6 \hat{i}+5 \hat{j}+3 \hat{k}) \mathrm{N} / \mathrm{C}$$. The electric flux through a surface area $$30 \hat{i} \math...
JEE Main 2024 (Online) 29th January Morning Shift
Two charges of $$5 Q$$ and $$-2 Q$$ are situated at the points $$(3 a, 0)$$ and $$(-5 a, 0)$$ respectively. The electric flux through a sphere of radi...
JEE Main 2024 (Online) 27th January Evening Shift
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Work done by electric field...
JEE Main 2024 (Online) 27th January Morning Shift
An electric charge $$10^{-6} \mu \mathrm{C}$$ is placed at origin $$(0,0)$$ $$\mathrm{m}$$ of $$\mathrm{X}-\mathrm{Y}$$ co-ordinate system. Two points...
JEE Main 2023 (Online) 15th April Morning Shift
The electric field due to a short electric dipole at a large distance $(r)$ from center of dipole on the equatorial plane varies with distance as :
JEE Main 2023 (Online) 13th April Evening Shift
A $$10 ~\mu \mathrm{C}$$ charge is divided into two parts and placed at $$1 \mathrm{~cm}$$ distance so that the repulsive force between them is maximu...
JEE Main 2023 (Online) 13th April Morning Shift
Two charges each of magnitude $$0.01 ~\mathrm{C}$$ and separated by a distance of $$0.4 \mathrm{~mm}$$ constitute an electric dipole. If the dipole is...
JEE Main 2023 (Online) 12th April Morning Shift
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : If an electric dipole of dipole mom...
JEE Main 2023 (Online) 10th April Evening Shift
In a metallic conductor, under the effect of applied electric field, the free electrons of the conductor
JEE Main 2023 (Online) 8th April Evening Shift
Electric potential at a point '$$\mathrm{P}$$' due to a point charge of $$5 \times 10^{-9} \mathrm{C}$$ is $$50 \mathrm{~V}$$. The distance of '$$\mat...
JEE Main 2023 (Online) 8th April Morning Shift
Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius $$\mathrm{R}$$, with distance $$r$$ from the centre...
JEE Main 2023 (Online) 6th April Evening Shift
A dipole comprises of two charged particles of identical magnitude $$q$$ and opposite in nature. The mass 'm' of the positive charged particle is half...
JEE Main 2023 (Online) 6th April Morning Shift
For a uniformly charged thin spherical shell, the electric potential (V) radially away from the centre (O) of shell can be graphically represented as ...
JEE Main 2023 (Online) 1st February Morning Shift
Let $$\sigma$$ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different re...
JEE Main 2023 (Online) 31st January Evening Shift
Considering a group of positive charges, which of the following statements is correct ?
JEE Main 2023 (Online) 31st January Morning Shift
Which of the following correctly represents the variation of electric potential $$(\mathrm{V})$$ of a charged spherical conductor of radius $$(\mathrm...
JEE Main 2023 (Online) 30th January Evening Shift
A point source of $100 \mathrm{~W}$ emits light with $5 \%$ efficiency. At a distance of $5 \mathrm{~m}$ from the source, the intensity produced by th...
JEE Main 2023 (Online) 30th January Evening Shift
As shown in the figure, a point charge $Q$ is placed at the centre of conducting spherical shell of inner radius $a$ and outer radius $b$. The electri...
JEE Main 2023 (Online) 30th January Morning Shift
Electric field in a certain region is given by $$\overrightarrow{\mathrm{E}}=\left(\frac{\mathrm{A}}{x^{2}} \hat{i}+\frac{\mathrm{B}}{y^{3}} \hat{j}\r...
JEE Main 2023 (Online) 30th January Morning Shift
Two isolated metallic solid spheres of radii $$\mathrm{R}$$ and $$2 \mathrm{R}$$ are charged such that both have same charge density $$\sigma$$. The s...
JEE Main 2023 (Online) 29th January Evening Shift
A point charge $$2\times10^{-2}~\mathrm{C}$$ is moved from P to S in a uniform electric field of $$30~\mathrm{NC^{-1}}$$ directed along positive x-axi...
JEE Main 2023 (Online) 29th January Morning Shift
In a cuboid of dimension $$2 \mathrm{~L} \times 2 \mathrm{~L} \times \mathrm{L}$$, a charge $$q$$ is placed at the center of the surface '$$\mathrm{S}...
JEE Main 2023 (Online) 25th January Evening Shift
A point charge of 10 $$\mu$$C is placed at the origin. At what location on the X-axis should a point charge of 40 $$\mu$$C be placed so that the net e...
JEE Main 2023 (Online) 24th January Evening Shift
The electric potential at the centre of two concentric half rings of radii R$$_1$$ and R$$_2$$, having same linear charge density $$\lambda$$ is : ...
JEE Main 2023 (Online) 24th January Morning Shift
If two charges q$$_1$$ and q$$_2$$ are separated with distance 'd' and placed in a medium of dielectric constant K. What will be the equivalent distan...
JEE Main 2022 (Online) 29th July Evening Shift
Two identical metallic spheres $$\mathrm{A}$$ and $$\mathrm{B}$$ when placed at certain distance in air repel each other with a force of $$\mathrm{F}$...
JEE Main 2022 (Online) 29th July Morning Shift
A spherically symmetric charge distribution is considered with charge density varying as $$\rho(r)= \begin{cases}\rho_{0}\left(\frac{3}{4}-\frac{r}{R}...
JEE Main 2022 (Online) 29th July Morning Shift
Given below are two statements. Statement I : Electric potential is constant within and at the surface of each conductor. Statement II : Electric fiel...
JEE Main 2022 (Online) 28th July Evening Shift
A uniform electric field $$\mathrm{E}=(8 \mathrm{~m} / \mathrm{e}) \,\mathrm{V} / \mathrm{m}$$ is created between two parallel plates of length $$1 \m...
JEE Main 2022 (Online) 27th July Evening Shift
A charge of $$4 \,\mu \mathrm{C}$$ is to be divided into two. The distance between the two divided charges is constant. The magnitude of the divided c...
JEE Main 2022 (Online) 27th July Morning Shift
Two identical positive charges $$Q$$ each are fixed at a distance of '2a' apart from each other. Another point charge $$q_{0}$$ with mass 'm' is place...
JEE Main 2022 (Online) 26th July Evening Shift
Two uniformly charged spherical conductors $$A$$ and $$B$$ of radii $$5 \mathrm{~mm}$$ and $$10 \mathrm{~mm}$$ are separated by a distance of $$2 \mat...
JEE Main 2022 (Online) 29th June Evening Shift
Two point charges Q each are placed at a distance d apart. A third point charge q is placed at a distance x from mid-point on the perpendicular bisect...
JEE Main 2022 (Online) 29th June Evening Shift
If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1, 0, 3) m will be :...
JEE Main 2022 (Online) 29th June Morning Shift
A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength 1 $$\times$$ 105 NC$$-$$1. If the charge ...
JEE Main 2022 (Online) 28th June Evening Shift
Two point charges A and B of magnitude +8 $$\times$$ 10$$-$$6 C and $$-$$8 $$\times$$ 10$$-$$6 C respectively are placed at a distance d apart. The el...
JEE Main 2022 (Online) 28th June Morning Shift
Given below are two statements : Statement I : A point charge is brought in an electric field. The value of electric field at a point near to the char...
JEE Main 2022 (Online) 28th June Morning Shift
The three charges q/2, q and q/2 are placed at the corners A, B and C of a square of side 'a' as shown in figure. The magnitude of electric field (E) ...
JEE Main 2022 (Online) 27th June Evening Shift
If a charge q is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be : ...
JEE Main 2022 (Online) 27th June Evening Shift
Three identical charged balls each of charge 2 C are suspended from a common point P by silk threads of 2 m each (as shown in figure). They form an eq...
JEE Main 2022 (Online) 26th June Evening Shift
Sixty four conducting drops each of radius 0.02 m and each carrying a charge of 5 $$\mu$$C are combined to form a bigger drop. The ratio of surface de...
JEE Main 2022 (Online) 26th June Morning Shift
Given below two statements : One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Non-polar materials do not have any...
JEE Main 2022 (Online) 25th June Morning Shift
In the figure, a very large plane sheet of positive charge is shown. P1 and P2 are two points at distance l and 2l from the charge distribution. If $$...
JEE Main 2022 (Online) 24th June Evening Shift
Two identical charged particles each having a mass 10 g and charge 2.0 $$\times$$ 10$$-$$7C are placed on a horizontal table with a separation of L b...
JEE Main 2022 (Online) 24th June Evening Shift
A long cylindrical volume contains a uniformly distributed charge of density $$\rho$$. The radius of cylindrical volume is R. A charge particle (q) re...
JEE Main 2022 (Online) 24th June Morning Shift
A vertical electric field of magnitude 4.9 $$\times$$ 105 N/C just prevents a water droplet of a mass 0.1 g from falling. The value of charge on the d...
JEE Main 2021 (Online) 1st September Evening Shift
A cube is placed inside an electric field, $$\overrightarrow E = 150{y^2}\widehat j$$. The side of the cube is 0.5 m and is placed in the field as sh...
JEE Main 2021 (Online) 31st August Evening Shift
Choose the incorrect statement :(1) The electric lines of force entering into a Gaussian surface provide negative flux.(2) A charge 'q' is placed at t...
JEE Main 2021 (Online) 31st August Morning Shift
Two particles A and B having charges 20$$\mu$$C and $$-$$5$$\mu$$C respectively are held fixed with a separation of 5 cm. At what position a third cha...
JEE Main 2021 (Online) 27th August Evening Shift
Figure shows a rod AB, which is bent in a 120$$^\circ$$ circular arc of radius R. A charge ($$-$$Q) is uniformly distributed over rod AB. What is the ...
JEE Main 2021 (Online) 27th August Morning Shift
A uniformly charged disc of radius R having surface charge density $$\sigma$$ is placed in the xy plane with its center at the origin. Find the electr...
JEE Main 2021 (Online) 26th August Evening Shift
The two thin coaxial rings, each of radius 'a' and having charges +Q and $$-$$Q respectively are separated by a distance of 's'. The potential differe...
JEE Main 2021 (Online) 26th August Morning Shift
A solid metal sphere of radius R having charge q is enclosed inside the concentric spherical shell of inner radius a and outer radius b as shown in th...
JEE Main 2021 (Online) 27th July Evening Shift
What will be the magnitude of electric field at point O as shown in the figure? Each side of the figure is l and perpendicular to each other?...
JEE Main 2021 (Online) 27th July Morning Shift
Two identical tennis balls each having mass 'm' and charge 'q' are suspended from a fixed point by threads of length 'l'. What is the equilibrium sepa...
JEE Main 2021 (Online) 25th July Evening Shift
Two ideal electric dipoles A and B, having their dipole moment p1 and p2 respectively are placed on a plane with their centres at O as shown in the fi...
JEE Main 2021 (Online) 22th July Evening Shift
An electric dipole is placed on x-axis in proximity to a line charge of linear charge density 3.0 $$\times$$ 10$$-$$6 C/m. Line charge is placed on z-...
JEE Main 2021 (Online) 20th July Morning Shift
A certain charge Q is divided into two parts q and (Q $$-$$ q). How should the charges Q and q be divided so that q and (Q $$-$$ q) placed at a certai...
JEE Main 2021 (Online) 18th March Morning Shift
An oil drop of radius 2 mm with a density 3g cm$$-$$3 is held stationary under a constant electric field 3.55 $$\times$$ 105 V m$$-$$1 in the Millikan...
JEE Main 2021 (Online) 16th March Evening Shift
Find out the surface charge density at the intersection of point x = 3 m plane and x-axis, in the region of uniform line charge of 8 nC/m lying along ...
JEE Main 2021 (Online) 26th February Evening Shift
Given below are two statements: Statement I : An electric dipole is placed at the center of a hollow sphere. The flux of the electric field through th...
JEE Main 2021 (Online) 26th February Evening Shift
An inclined plane making an angle of 30$$^\circ$$ with the horizontal is placed in a uniform horizontal electric field $$200{N \over C}$$ as shown in ...
JEE Main 2021 (Online) 26th February Morning Shift
Find the electric field at point P (as shown in figure) on the perpendicular bisector of a uniformly charged thin wire of length L carrying a charge Q...
JEE Main 2021 (Online) 25th February Evening Shift
A charge 'q' is placed at one corner of a cube as shown in figure. The flux of electrostatic field $$\overrightarrow E $$ through the shaded area is :...
JEE Main 2021 (Online) 24th February Evening Shift
Two electrons each are fixed at a distance '2d'. A third charge proton placed at the midpoint is displaced slightly by a distance x (x << d) per...
JEE Main 2021 (Online) 24th February Morning Shift
A cube of side 'a' has point charges +Q located at each of its vertices except at the origin where the charge is $$-$$Q. The electric field at the cen...
JEE Main 2020 (Online) 6th September Evening Slot
Two identical electric point dipoles have dipole moments $${\overrightarrow p _1} = p\widehat i$$ and $${\overrightarrow p _2} = - p\widehat i$$ and ...
JEE Main 2020 (Online) 6th September Evening Slot
Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying charge Q distributed uniformly over it. Which one...
JEE Main 2020 (Online) 6th September Morning Slot
Charges Q1 and Q2 are at points A and B of a right angle triangle OAB (see figure). The resultant electric field at point O is perpendicular to the ...
JEE Main 2020 (Online) 5th September Evening Slot
Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges. Alternate charges 1, ...
JEE Main 2020 (Online) 5th September Morning Slot
A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume. A very small point like piece of it of mass m gets detached f...
JEE Main 2020 (Online) 4th September Evening Slot
A particle of charge q and mass m is subjected to an electric field E = E0 (1 – $$a$$x2) in the x-direction, where $$a$$ and E0 are constants. Initi...
JEE Main 2020 (Online) 4th September Morning Slot
Two charged thin infinite plane sheets of uniform surface charge density $${\sigma _ + }$$ and $${\sigma _ - }$$, where |$${\sigma _ + }$$| > |$${\...
JEE Main 2020 (Online) 4th September Morning Slot
A two point charges 4q and -q are fixed on the x-axis at x = $$ - {d \over 2}$$ and x = $${d \over 2}$$ respectively. If a third point charge 'q' is t...
JEE Main 2020 (Online) 3rd September Evening Slot
Concentric metallic hollow spheres of radii R and 4R hold charges Q1 and Q2 respectively. Given that surface charge densities of the concentric sphe...
JEE Main 2020 (Online) 3rd September Morning Slot
Two isolated conducting spheres S1 and S2 of radius $${2 \over 3}R$$ and $${1 \over 3}R$$ have 12 $$\mu $$C and –3 $$\mu $$C charges, respectively, an...
JEE Main 2020 (Online) 2nd September Evening Slot
A small point mass carrying some positive charge on it, is released from the edge of a table. There is a uniform electric field in this region in the ...
JEE Main 2020 (Online) 2nd September Evening Slot
A charge Q is distributed over two concentric conducting thin spherical shells radii r and R (R > r). If the surface charge densities on the two sh...
JEE Main 2020 (Online) 2nd September Morning Slot
A charged particle (mass m and charge q) moves along X-axis with velocity V0. When it passes through the origin it enters a region having uniform elec...
JEE Main 2020 (Online) 9th January Morning Slot
Consider a sphere of radius R which carries a uniform charge density $$\rho $$. If a sphere of radius $${{R \over 2}}$$ is carved out of it, as shown,...
JEE Main 2020 (Online) 9th January Morning Slot
An electric dipole of moment $$\overrightarrow p = \left( { - \widehat i - 3\widehat j + 2\widehat k} \right) \times {10^{ - 29}} $$ C.m is at the or...
JEE Main 2020 (Online) 8th January Evening Slot
A particle of mass m and charge q is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its...
JEE Main 2020 (Online) 8th January Evening Slot
Consider two charged metallic spheres S1 and S2 of radii R1 and R2, respectively. The electric fields E1 (on S1) and E2 (on S2) on their surfaces are ...
JEE Main 2020 (Online) 8th January Morning Slot
In finding the electric field using Gauss Law the formula $$\left| {\overrightarrow E } \right| = {{{q_{enc}}} \over {{\varepsilon _0}\left| A \right|...
JEE Main 2020 (Online) 8th January Morning Slot
Three charged particle A, B and C with charges –4q, 2q and –2q are present on the circumference of a circle of radius d. the charged particles A, C an...
JEE Main 2020 (Online) 7th January Morning Slot
Two infinite planes each with uniform surface charge density to are kept in such a way that the angle between them is 30o. The electric field in the r...
JEE Main 2019 (Online) 12th April Evening Slot
Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by $$\rho $$(r) = kr, where r is the distance from the cen...
JEE Main 2019 (Online) 12th April Morning Slot
Shown in the figure is a shell made of a conductor. It has inner radius a and outer radius b, and carries charge Q. At its centre is a dipole $$\overr...
JEE Main 2019 (Online) 12th April Morning Slot
A point dipole $$\overrightarrow p = - {p_0}\widehat x$$ is kept at the origin. The potential and electric field due to this dipole on the y-axis at...
JEE Main 2019 (Online) 10th April Evening Slot
In free space, a particle A of charge 1$$\mu $$C is held fixed at a point P. Another particle B of the same charge and mass 4$$\mu $$g is kept at a di...
JEE Main 2019 (Online) 10th April Morning Slot
A uniformly charged ring of radius 3a and total charge q is placed in xy-plane centred at origin. A point charge q is moving towards the ring along th...
JEE Main 2019 (Online) 9th April Evening Slot
Four point charges –q, +q, +q and –q are placed on y-axis at y = –2d, y = –d, y = +d and y = +2d, respectively. The magnitude of the electric field E ...
JEE Main 2019 (Online) 9th April Morning Slot
A system of three charges are placed as shown in the figure : If D >> d, the potential energy of the system is best given by : ...
JEE Main 2019 (Online) 8th April Evening Slot
The electric field in a region is given by $$\mathop E\limits^ \to = \left( {Ax + B} \right)\mathop i\limits^ \wedge $$ , where E is in NC–1 and x ...
JEE Main 2019 (Online) 8th April Evening Slot
A positive point charge is released from rest at a distance r0 from a positive line charge with uniform density. The speed (v) of the point charge, as...
JEE Main 2019 (Online) 8th April Morning Slot
The bob of a simple pendulum has mass 2g and a charge of 5.0 μC. It is at rest in a uniform horizontal electric field of intensity 2000 V/m. At equili...
JEE Main 2019 (Online) 8th April Morning Slot
A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the potential difference between th...
JEE Main 2019 (Online) 12th January Morning Slot
Determine the electric dipole moment of the system of the three charges, placed on the vertices of an equilateral triangle, as shown in the figure : ...
JEE Main 2019 (Online) 12th January Morning Slot
There is a uniform spherically symmetric surface charge density at a distance R0 from the origin. The charge distribution is initially at rest and sta...
JEE Main 2019 (Online) 11th January Evening Slot
An electric field of 1000 V/m is applied to an electric dipole at angle of 45o. The value of electric dipole moment is 10–29 C.m. What is the potentia...
JEE Main 2019 (Online) 11th January Morning Slot
Three charges Q, + q and + q are placed at the vertices of a right-angle isosceles triangle as shown below. The net electrostatic energy of the config...
JEE Main 2019 (Online) 11th January Morning Slot
The given graph shows variation (with distance r form centre) of : ...
JEE Main 2019 (Online) 10th January Evening Slot
Four equal point charges Q each are placed in the xy plane at (0, 2), (4, 2), (4, –2) and (0, –2). The work required to put a fifth charge Q at the or...
JEE Main 2019 (Online) 10th January Evening Slot
Charges –q and +q located at A and B, respectively, constitude an electric dipole. Distance AB = 2a, O is the mid point of the dipole and OP is perpen...
JEE Main 2019 (Online) 10th January Morning Slot
A charge Q is distributed over three concentric spherical shells of radii a, b, c (a < b < c) such that their surface charge densities are equal...
JEE Main 2019 (Online) 10th January Morning Slot
Two electric dipoles, A, B with respective dipole moments $${\overrightarrow d _A} = - 4qai$$ and $${\overrightarrow d _B} = - 2qai$$ are placed on ...
JEE Main 2019 (Online) 9th January Evening Slot
Two point charges q1$$\left( {\sqrt {10} \mu C} \right)$$ and q2($$-$$ 25 $$\mu $$C) are placed on the x-axis at x = 1 m and x = 4 m respectively. The...
JEE Main 2019 (Online) 9th January Evening Slot
Charge is distributed within a sphere of radius R with a volume charge density $$\rho \left( r \right) = {A \over {{r^2}}}{e^{ - {{2r} \over s}}},$$ w...
JEE Main 2019 (Online) 9th January Morning Slot
Three charges + Q, q, + Q are placed respectively, at distance, 0, d/2 and d from the origin, on the x-axis. If the net force experienced by + Q, pla...
JEE Main 2019 (Online) 9th January Morning Slot
For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a distance h from its center. Then value of h i...
JEE Main 2018 (Online) 16th April Morning Slot
Two identical conducting spheres A and B, carry equal charge. They are separated by a distance much larger than their diameters, and the force betwe...
JEE Main 2018 (Offline)
Three concentric metal shells A, B and C of respective radii a, b and c (a < b < c) have surface charge densities $$ + \sigma $$, $$ - \sigma $$...
JEE Main 2018 (Online) 15th April Evening Slot
A solid ball of radius R has a charge density $$\rho $$ given by $$\rho $$ = $$\rho $$o (1 $$-$$ $${\raise0.5ex\hbox{$\scriptstyle r$} \kern-0.1em/\...
JEE Main 2018 (Online) 15th April Morning Slot
A body of mass $$M$$ and charge $$q$$ is connected to spring of spring constant $$k.$$ It is oscillating along $$x$$-direction about its equilibrium ...
JEE Main 2018 (Online) 15th April Morning Slot
A charge $$Q$$ is placed at a distance $$a/2$$ above the center of the square surface of edge a as shown in the figure. The electric flux through the ...
JEE Main 2017 (Online) 9th April Morning Slot
Four closed surfaces and corresponding charge distributions are shown below. Let the respective electric fluxes through the surfaces be $${\Phi _1},$...
JEE Main 2017 (Online) 8th April Morning Slot
There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at $$P,$$ in the region, is found to var...
JEE Main 2017 (Offline)
An electric dipole has a fixed dipole moment $$\overrightarrow p $$, which makes angle $$\theta$$ with respect to x-axis. When subjected to an electri...
JEE Main 2016 (Online) 10th April Morning Slot
Within a spherical charge distribution of charge density $$\rho $$(r), N equipotential surfaces of potential V0, V0 + $$\Delta $$V, V0 + 2$$\Delta $$V...
JEE Main 2016 (Online) 9th April Morning Slot
The potential (in volts) of a charge distribution is given by. V(z) = 30 $$-$$ 5x2 for $$\left| z \right|$$ $$ \le $$ 1 m. V(z) = 35 $$-$$ 10 $$\left|...
JEE Main 2016 (Offline)
The region between two concentric spheres of radii $$'a'$$ and $$'b',$$ respectively (see figure), have volume charge density $$\rho = {A \over r},$$...
JEE Main 2015 (Offline)
A long cylindrical shell carries positives surfaces change $$\sigma $$ in the upper half and negative surface charge - $$\sigma $$ in the lower half. ...
JEE Main 2014 (Offline)
Assume that an electric field $$\overrightarrow E = 30{x^2}\widehat i$$ exists in space. Then the potential difference $${V_A} - {V_O},$$ where $${V_...
JEE Main 2013 (Offline)
Two charges, each equals to $$q,$$ are kept at $$x=-a$$ and $$x=a$$ on the $$x$$-axis. A particle of mass $$m$$ and charge $${q_0} = {q \over 2}$$ is ...
JEE Main 2013 (Offline)
A charge $$Q$$ is uniformly distributed over a long rod $$AB$$ of length $$L$$ as shown in the figure. The electric potential at the point $$O$$ lying...
AIEEE 2012
This question has statement- $$1$$ and statement- $$2.$$ Of the four choices given after the statements, choose the one that best describe the two sta...
AIEEE 2012
In a uniformly charged sphere of total charge $$Q$$ and radius $$R,$$ the electric field $$E$$ is plotted as function of distance from the center. The...
AIEEE 2011
The electrostatic potential inside a charged spherical ball is given by $$\phi = a{r^2} + b$$ where $$r$$ is the distance from the center and $$a,b$$...
AIEEE 2011
Two identical charged spheres suspended from a common point by two massless strings of length $$l$$ are initially a distance $$d\left( {d < < 1...
AIEEE 2010
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of $${30^ \circ }$$ with each other. When suspended...
AIEEE 2010
Let there be a spherically symmetric charge distribution with charge density varying as $$\rho \left( r \right) = {\rho _0}\left( {{5 \over 4} - {r \o...
AIEEE 2010
A thin semi-circular ring of radius $$r$$ has a positive charges $$q$$ distributed uniformly over it. The net field $$\overrightarrow E $$ at the cent...
AIEEE 2009
Let $$P\left( r \right) = {Q \over {\pi {R^4}}}r$$ be the change density distribution for a solid sphere of radius $$R$$ and total charge $$Q$$. For a...
AIEEE 2009
(This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statem...
AIEEE 2009
Two points $$P$$ and $$Q$$ are maintained at the potentials of $$10$$ $$V$$ and $$-4$$ $$V$$, respectively. The work done in moving $$100$$ electrons ...
AIEEE 2009
A charge $$Q$$ is placed at each of the opposite corners of a square. A charge $$q$$ is placed at each of the other two corners. If the net electrica...
AIEEE 2008
A thin spherical shell of radius $$R$$ has charge $$Q$$ spread uniformly over its surface. Which of the following graphs most closely represents the e...
AIEEE 2007
An electric charge $${10^{ - 3}}\,\,\mu \,C$$ is placed at the origin $$(0,0)$$ of $$X-Y$$ co-ordinate system. Two points $$A$$ and $$B$$ are situated...
AIEEE 2007
Charges are placed on the vertices of a square as shown. Let $$\overrightarrow E $$ be the electric field and $$V$$ the potential at the center. If th...
AIEEE 2007
The potential at a point $$x$$ (measured in $$\mu \,m$$) due to some charges situated on the $$x$$-axis is given by $$V\left( x \right) = 20/\left( {{...
AIEEE 2006
An electric dipole is placed at an angle of $${30^ \circ }$$ to a non-uniform electric field. The dipole will experience
AIEEE 2006
Two spherical conductors $$A$$ and $$B$$ of radii $$1$$ $$mm$$ and $$2$$ $$mm$$ are separated by a distance of $$5$$ $$cm$$ and are uniformly charged....
AIEEE 2006
Two insulating plates are both uniformly charged in such a way that the potential difference between them is $${V_2} - {V_1} = 20\,V.$$ (i.e., plate $...
AIEEE 2005
Two point charges $$+8q$$ and $$-2q$$ are located at $$x=0$$ and $$x=L$$ respectively. The location of a point on the $$x$$ axis at which the net elec...
AIEEE 2005
Two thin wire rings each having a radius $$R$$ are placed at a distance $$d$$ apart with their axes coinciding. The charges on the two rings are $$+q$...
AIEEE 2005
A charged ball $$B$$ hangs from a silk thread $$S,$$ which makes angle $$\theta $$ with a large charged conducting sheet $$P,$$ as shown in the figure...
AIEEE 2004
Two spherical conductors $$B$$ and $$C$$ having equal radii and carrying equal charges on them repel each other with a force $$F$$ when kept apart at ...
AIEEE 2004
A charge particle $$'q'$$ is shot towards another charged particle $$'Q'$$ which is fixed, with a speed $$'v'$$. It approaches $$'Q'$$ upto a closest ...
AIEEE 2004
Four charges equal to -$$Q$$ are placed at the four corners of a square and a charge $$q$$ is at its center. If the system is in equilibrium the valu...
AIEEE 2004
A charged oil drop is suspended in a uniform field of $$3 \times {10^4}$$ $$v/m$$ so that it neither falls nor rises. The charge on the drop will be ...
AIEEE 2003
If the electric flux entering and leaving an enclosed surface respectively is $${\phi _1}$$ and $${\phi _2},$$ the electric charge inside the surface ...
AIEEE 2003
A thin spherical conducting shell of radius $$R$$ has a charge $$q.$$ Another charge $$Q$$ is placed at the center of the shell. The electrostatic pot...
AIEEE 2003
Three charges $$ - {q_1}, + {q_2}$$ and $$ - {q_3}$$ are placed as shown in the figure. The $$x$$-component of the force on $$ - {q_1}$$ is proportion...
AIEEE 2002
On moving a charge of $$20$$ coulomb by $$2$$ $$cm,$$ $$2$$ $$J$$ of work is done, then the potential differences between the points is
AIEEE 2002
A charged particle $$q$$ is placed at the centre $$O$$ of cube of length $$L(ABCDEFGH).$$ Another same charge $$q$$ is placed at a distance $$L$$ from...
AIEEE 2002
If a charge $$q$$ is placed at the center of the line joining two equal charges $$Q$$ such that the system is in equilibrium then the value of $$q$$ i...

Numerical

JEE Main 2024 (Online) 9th April Evening Shift
An electric field $$\vec{E}=(2 x \hat{i}) N C^{-1}$$ exists in space. A cube of side $$2 \mathrm{~m}$$ is placed in the space as per figure given belo...
JEE Main 2024 (Online) 9th April Morning Shift
At the centre of a half ring of radius $$\mathrm{R}=10 \mathrm{~cm}$$ and linear charge density $$4 \mathrm{n} \mathrm{~C} \mathrm{~m}^{-1}$$, the pot...
JEE Main 2024 (Online) 4th April Morning Shift
An infinite plane sheet of charge having uniform surface charge density $$+\sigma_{\mathrm{s}} \mathrm{C} / \mathrm{m}^2$$ is placed on $$x$$-$$y$$ pl...
JEE Main 2024 (Online) 1st February Evening Shift
Suppose a uniformly charged wall provides a uniform electric field of $2 \times 10^4 \mathrm{~N} / \mathrm{C}$ normally. A charged particle of mass $2...
JEE Main 2024 (Online) 1st February Morning Shift
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle $\theta$ with each other. When suspended in water t...
JEE Main 2024 (Online) 31st January Evening Shift
The distance between charges $$+q$$ and $$-q$$ is $$2 l$$ and between $$+2 q$$ and $$-2 q$$ is $$4 l$$. The electrostatic potential at point $$P$$ at ...
JEE Main 2024 (Online) 30th January Evening Shift
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of $$37^{\circ}$$ with each other. When suspended i...
JEE Main 2024 (Online) 29th January Morning Shift
An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet $$\mathrm{S}$$ having surface charge densi...
JEE Main 2024 (Online) 27th January Evening Shift
Two charges of $$-4 \mu \mathrm{C}$$ and $$+4 \mu \mathrm{C}$$ are placed at the points $$\mathrm{A}(1,0,4) \mathrm{m}$$ and $$\mathrm{B}(2,-1,5) \mat...
JEE Main 2024 (Online) 27th January Evening Shift
The electric potential at the surface of an atomic nucleus $$(z=50)$$ of radius $$9 \times 10^{-13} \mathrm{~cm}$$ is __________ $$\times 10^6 \mathrm...
JEE Main 2024 (Online) 27th January Morning Shift
A thin metallic wire having cross sectional area of $$10^{-4} \mathrm{~m}^2$$ is used to make a ring of radius $$30 \mathrm{~cm}$$. A positive charge ...
JEE Main 2023 (Online) 13th April Evening Shift
Three point charges $$\mathrm{q},-2 \mathrm{q}$$ and $$2 \mathrm{q}$$ are placed on $x$-axis at a distance $$x=0, x=\frac{3}{4} R$$ and $$x=R$$ respec...
JEE Main 2023 (Online) 13th April Morning Shift
A thin infinite sheet charge and an infinite line charge of respective charge densities $$+\sigma$$ and $$+\lambda$$ are placed parallel at $$5 \mathr...
JEE Main 2023 (Online) 12th April Morning Shift
64 identical drops each charged upto potential of $$10 ~\mathrm{mV}$$ are combined to form a bigger drop. The potential of the bigger drop will be ___...
JEE Main 2023 (Online) 11th April Morning Shift
As shown in the figure, a configuration of two equal point charges $$\left(q_{0}=+2 \mu \mathrm{C}\right)$$ is placed on an inclined plane. Mass of ea...
JEE Main 2023 (Online) 10th April Evening Shift
An electron revolves around an infinite cylindrical wire having uniform linear charge density $$2 \times 10^{-8} \mathrm{C} \mathrm{m}^{-1}$$ in circu...
JEE Main 2023 (Online) 10th April Morning Shift
Three concentric spherical metallic shells X, Y and Z of radius a, b and c respectively [a ...
JEE Main 2023 (Online) 8th April Morning Shift
An electric dipole of dipole moment is $$6.0 \times 10^{-6} ~\mathrm{C m}$$ placed in a uniform electric field of $$1.5 \times 10^{3} ~\mathrm{NC}^{-1...
JEE Main 2023 (Online) 1st February Evening Shift
A cubical volume is bounded by the surfaces $$\mathrm{x}=0, x=\mathrm{a}, y=0, y=\mathrm{a}, \mathrm{z}=0, z=\mathrm{a}$$. The electric field in the r...
JEE Main 2023 (Online) 1st February Morning Shift
Two equal positive point charges are separated by a distance $$2 a$$. The distance of a point from the centre of the line joining two charges on the e...
JEE Main 2023 (Online) 31st January Morning Shift
Expression for an electric field is given by $$\overrightarrow{\mathrm{E}}=4000 x^{2} \hat{i} \frac{\mathrm{V}}{\mathrm{m}}$$. The electric flux throu...
JEE Main 2023 (Online) 30th January Evening Shift
As shown in figure, a cuboid lies in a region with electric field $E=2 x^{2} \hat{i}-4 y \hat{j}+6 \hat{k} \mathrm{~N} / \mathrm{C}$. The magnitude of...
JEE Main 2023 (Online) 29th January Evening Shift
For a charged spherical ball, electrostatic potential inside the ball varies with $$r$$ as $$\mathrm{V}=2ar^2+b$$. Here, $$a$$ and $$b$$ are constant ...
JEE Main 2023 (Online) 29th January Morning Shift
A point charge $$q_1=4q_0$$ is placed at origin. Another point charge $$q_2=-q_0$$ is placed at $$x=12$$ cm. Charge of proton is $$q_0$$. The proton i...
JEE Main 2023 (Online) 25th January Morning Shift
A uniform electric field of 10 N/C is created between two parallel charged plates (as shown in figure). An electron enters the field symmetrically bet...
JEE Main 2023 (Online) 24th January Morning Shift
A stream of a positively charged particles having $${q \over m} = 2 \times {10^{11}}{C \over {kg}}$$ and velocity $${\overrightarrow v _0} = 3 \times ...
JEE Main 2022 (Online) 28th July Morning Shift
Two electric dipoles of dipole moments $$1.2 \times 10^{-30} \,\mathrm{Cm}$$ and $$2.4 \times 10^{-30} \,\mathrm{Cm}$$ are placed in two different uni...
JEE Main 2022 (Online) 27th July Morning Shift
A long cylindrical volume contains a uniformly distributed charge of density $$\rho \,\mathrm{Cm}^{-3}$$. The electric field inside the cylindrical vo...
JEE Main 2022 (Online) 26th July Evening Shift
Three point charges of magnitude $$5 \mu \mathrm{C}, 0.16 \mu \mathrm{C}$$ and $$0.3 \mu \mathrm{C}$$ are located at the vertices $$A, B, C$$ of a rig...
JEE Main 2022 (Online) 25th July Morning Shift
The volume charge density of a sphere of radius $$6 \mathrm{~m}$$ is $$2 \,\mu \mathrm{C} \,\mathrm{cm}^{-3}$$. The number of lines of force per unit ...
JEE Main 2022 (Online) 30th June Morning Shift
Eight similar drops of mercury are maintained at 12 V each. All these spherical drops combine into a single big drop. The potential energy of bigger d...
JEE Main 2022 (Online) 25th June Evening Shift
27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be _____________ V.
JEE Main 2021 (Online) 25th July Morning Shift
A particle of mass 1 mg and charge q is lying at the mid-point of two stationary particles kept at a distance '2 m' when each is carrying same charge ...
JEE Main 2021 (Online) 22th July Evening Shift
The total charge enclosed in an incremental volume of 2 $$\times$$ 10$$-$$9 m3 located at the origin is ___________ nC, if electric flux density of it...
JEE Main 2021 (Online) 20th July Morning Shift
A body having specific charge 8 $$\mu$$C/g is resting on a frictionless plane at a distance 10 cm from the wall (as shown in the figure). It starts mo...
JEE Main 2021 (Online) 18th March Evening Shift
An infinite number of point charges, each carrying 1 $$\mu$$C charge, are placed along the y-axis at y = 1 m, 2 m, 4 m, 8 m ...............The total f...
JEE Main 2021 (Online) 17th March Evening Shift
The electric field in a region is given by $$\overrightarrow E = {2 \over 5}{E_0}\widehat i + {3 \over 5}{E_0}\widehat j$$ with $${E_0} = 4.0 \times ...
JEE Main 2021 (Online) 26th February Evening Shift
27 similar drops of mercury are maintained at 10V each. All these spherical drops combine into a single big drop. The potential energy of the bigger d...
JEE Main 2021 (Online) 25th February Evening Shift
Two identical conducting spheres with negligible volume have 2.1 nC and $$-$$0.1 nC charges, respectively. They are brought into contact and then sepa...
JEE Main 2021 (Online) 25th February Evening Shift
Two small spheres each of mass 10 mg are suspended from a point by threads 0.5 m long. They are equally charged and repel each other to a distance of ...
JEE Main 2021 (Online) 25th February Morning Shift
The electric field in a region is given by $$\overrightarrow E = \left( {{3 \over 5}{E_0}\widehat i + {4 \over 5}{E_0}\widehat j} \right){N \over C}$...
JEE Main 2021 (Online) 25th February Morning Shift
512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The potential of this drop is ______...
JEE Main 2021 (Online) 24th February Evening Shift
A point charge of +12$$\mu$$C is at a distance 6 cm vertically above the centre of a square of side 12 cm as shown in figure. The magnitude of the ele...
JEE Main 2020 (Online) 9th January Evening Slot
An electric field $$\overrightarrow E = 4x\widehat i - \left( {{y^2} + 1} \right)\widehat j$$ N/C passes through the box shown in figure. The flux of...

MCQ (More than One Correct Answer)

JEE Main 2015 (Offline)
A uniformly charged solid sphere of radius $$R$$ has potential $${V_0}$$ (measured with respect to $$\infty $$) on its surface. For this sphere the eq...
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