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JEE Main

Electrostatics

Physics

Previous Years Questions

MCQ (Single Correct Answer)

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A charge of $$4 \,\mu \mathrm{C}$$ is to be divided into two. The distance between the two divided charges is constant. ...
JEE Main 2022 (Online) 27th July Evening Shift
An electron (mass $$\mathrm{m}$$) with an initial velocity $$\vec{v}=v_{0} i\left(v_{0}>0\right)$$ is moving in an elect...
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 $$...
JEE Main 2022 (Online) 27th July Morning Shift
Two uniformly charged spherical conductors $$A$$ and $$B$$ of radii $$5 \mathrm{~mm}$$ and $$10 \mathrm{~mm}$$ are separ...
JEE Main 2022 (Online) 26th July Evening Shift
A vertical electric field of magnitude 4.9 $$\times$$ 105 N/C just prevents a water droplet of a mass 0.1 g from falling...
JEE Main 2022 (Online) 24th June Morning Shift
A long cylindrical volume contains a uniformly distributed charge of density $$\rho$$. The radius of cylindrical volume ...
JEE Main 2022 (Online) 24th June Evening Shift
Two identical charged particles each having a mass 10 g and charge 2.0 $$\times$$ 10$$-$$7C are placed on a horizontal ...
JEE Main 2022 (Online) 24th June Evening Shift
Sixty four conducting drops each of radius 0.02 m and each carrying a charge of 5 $$\mu$$C are combined to form a bigger...
JEE Main 2022 (Online) 26th June Evening Shift
Given below two statements : One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Non-p...
JEE Main 2022 (Online) 26th June Morning Shift
Three identical charged balls each of charge 2 C are suspended from a common point P by silk threads of 2 m each (as sho...
JEE Main 2022 (Online) 27th June Evening Shift
If a charge q is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through t...
JEE Main 2022 (Online) 27th June Evening Shift
The three charges q/2, q and q/2 are placed at the corners A, B and C of a square of side 'a' as shown in figure. The ma...
JEE Main 2022 (Online) 28th June Morning Shift
Given below are two statements : Statement I : A point charge is brought in an electric field. The value of electric fie...
JEE Main 2022 (Online) 28th June Morning Shift
Two point charges A and B of magnitude +8 $$\times$$ 10$$-$$6 C and $$-$$8 $$\times$$ 10$$-$$6 C respectively are placed...
JEE Main 2022 (Online) 28th June Evening Shift
If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1...
JEE Main 2022 (Online) 29th June Evening Shift
Two point charges Q each are placed at a distance d apart. A third point charge q is placed at a distance x from mid-poi...
JEE Main 2022 (Online) 29th June Evening Shift
A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength 1 $$\times$...
JEE Main 2022 (Online) 29th June Morning 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 an...
JEE Main 2021 (Online) 1st September Evening Shift
Choose the incorrect statement :(1) The electric lines of force entering into a Gaussian surface provide negative flux.(...
JEE Main 2021 (Online) 31st August Evening 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...
JEE Main 2021 (Online) 31st August Morning Shift
Figure shows a rod AB, which is bent in a 120$$^\circ$$ circular arc of radius R. A charge ($$-$$Q) is uniformly distrib...
JEE Main 2021 (Online) 27th August Evening Shift
A uniformly charged disc of radius R having surface charge density $$\sigma$$ is placed in the xy plane with its center ...
JEE Main 2021 (Online) 27th August Morning Shift
The two thin coaxial rings, each of radius 'a' and having charges +Q and $$-$$Q respectively are separated by a distance...
JEE Main 2021 (Online) 26th August Evening Shift
A solid metal sphere of radius R having charge q is enclosed inside the concentric spherical shell of inner radius a and...
JEE Main 2021 (Online) 26th August Morning 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 perpend...
JEE Main 2021 (Online) 27th July Evening Shift
Two identical tennis balls each having mass 'm' and charge 'q' are suspended from a fixed point by threads of length 'l'...
JEE Main 2021 (Online) 27th July Morning Shift
Two ideal electric dipoles A and B, having their dipole moment p1 and p2 respectively are placed on a plane with their c...
JEE Main 2021 (Online) 25th 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/...
JEE Main 2021 (Online) 22th July Evening 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 ...
JEE Main 2021 (Online) 20th July Morning Shift
A current of 5 A is passing through a non-linear magnesium wire of cross-section 0.04 m2. At every point the direction o...
JEE Main 2021 (Online) 20th July 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 $$\times$$...
JEE Main 2021 (Online) 18th March Morning 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...
JEE Main 2021 (Online) 16th March Evening Shift
An inclined plane making an angle of 30$$^\circ$$ with the horizontal is placed in a uniform horizontal electric field $...
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...
JEE Main 2021 (Online) 26th February Evening Shift
Find the electric field at point P (as shown in figure) on the perpendicular bisector of a uniformly charged thin wire o...
JEE Main 2021 (Online) 26th February Morning Shift
A charge 'q' is placed at one corner of a cube as shown in figure. The flux of electrostatic field $$\overrightarrow E $...
JEE Main 2021 (Online) 25th February Evening Shift
Two electrons each are fixed at a distance '2d'. A third charge proton placed at the midpoint is displaced slightly by a...
JEE Main 2021 (Online) 24th February Evening Slot
A cube of side 'a' has point charges +Q located at each of its vertices except at the origin where the charge is $$-$$Q....
JEE Main 2021 (Online) 24th February Morning Slot
Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying charge Q distribute...
JEE Main 2020 (Online) 6th September Evening Slot
Two identical electric point dipoles have dipole moments $${\overrightarrow p _1} = p\widehat i$$ and $${\overrightarrow...
JEE Main 2020 (Online) 6th September Evening Slot
Charges Q1 and Q2 are at points A and B of a right angle triangle OAB (see figure). The resultant electric field at po...
JEE Main 2020 (Online) 6th September Morning Slot
Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive ...
JEE Main 2020 (Online) 5th September Evening Slot
A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume. A very small point like piece o...
JEE Main 2020 (Online) 5th September Morning 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 $$a$...
JEE Main 2020 (Online) 4th September Evening Slot
Concentric metallic hollow spheres of radii R and 4R hold charges Q1 and Q2 respectively. Given that surface charge de...
JEE Main 2020 (Online) 3rd September Evening Slot
Two isolated conducting spheres S1 and S2 of radius $${2 \over 3}R$$ and $${1 \over 3}R$$ have 12 $$\mu $$C and –3 $$\mu...
JEE Main 2020 (Online) 3rd September Morning Slot
A charge Q is distributed over two concentric conducting thin spherical shells radii r and R (R > r). If the surface ...
JEE Main 2020 (Online) 2nd September Evening Slot
A charged particle (mass m and charge q) moves along X-axis with velocity V0. When it passes through the origin it enter...
JEE Main 2020 (Online) 2nd 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...
JEE Main 2020 (Online) 4th September Morning Slot
Two charged thin infinite plane sheets of uniform surface charge density $${\sigma _ + }$$ and $${\sigma _ - }$$, where ...
JEE Main 2020 (Online) 4th September Morning Slot
An electric dipole of moment $$\overrightarrow p = \left( { - \widehat i - 3\widehat j + 2\widehat k} \right) \times {1...
JEE Main 2020 (Online) 9th January Morning Slot
Consider a sphere of radius R which carries a uniform charge density $$\rho $$. If a sphere of radius $${{R \over 2}}$$ ...
JEE Main 2020 (Online) 9th January Morning Slot
Consider two charged metallic spheres S1 and S2 of radii R1 and R2, respectively. The electric fields E1 (on S1) and E2 ...
JEE Main 2020 (Online) 8th January Evening Slot
A particle of mass m and charge q is released from rest in a uniform electric field. If there is no other force on the p...
JEE Main 2020 (Online) 8th January Evening Slot
Three charged particle A, B and C with charges –4q, 2q and –2q are present on the circumference of a circle of radius d....
JEE Main 2020 (Online) 8th January Morning Slot
In finding the electric field using Gauss Law the formula $$\left| {\overrightarrow E } \right| = {{{q_{enc}}} \over {{\...
JEE Main 2020 (Online) 8th 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 30...
JEE Main 2020 (Online) 7th January Morning Slot
Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by $$\rho $$(r) = kr, where ...
JEE Main 2019 (Online) 12th April Evening Slot
A point dipole $$\overrightarrow p = - {p_0}\widehat x$$ is kept at the origin. The potential and electric field due t...
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 i...
JEE Main 2019 (Online) 12th April Morning 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 m...
JEE Main 2019 (Online) 10th April Evening 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 mo...
JEE Main 2019 (Online) 10th April Morning 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 magn...
JEE Main 2019 (Online) 9th April Evening Slot
A system of three charges are placed as shown in the figure : If D >> d, the potential energy of the system is be...
JEE Main 2019 (Online) 9th April Morning Slot
The electric field in a region is given by $$\mathop E\limits^ \to = \left( {Ax + B} \right)\mathop i\limits^ \wedge ...
JEE Main 2019 (Online) 8th April Evening Slot
A positive point charge is released from rest at a distance r0 from a positive line charge with uniform density. The spe...
JEE Main 2019 (Online) 8th April Evening Slot
A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the p...
JEE Main 2019 (Online) 8th April Morning Slot
The bob of a simple pendulum has mass 2g and a charge of 5.0 μC. It is at rest in a uniform horizontal electric field of...
JEE Main 2019 (Online) 8th April Morning Slot
Determine the electric dipole moment of the system of the three charges, placed on the vertices of an equilateral triang...
JEE Main 2019 (Online) 12th January Morning Slot
Three charges Q, + q and + q are placed at the vertices of a right-angle isosceles triangle as shown below. The net elec...
JEE Main 2019 (Online) 11th January Morning Slot
Charges –q and +q located at A and B, respectively, constitude an electric dipole. Distance AB = 2a, O is the mid point ...
JEE Main 2019 (Online) 10th January Evening Slot
Two electric dipoles, A, B with respective dipole moments $${\overrightarrow d _A} = - 4qai$$ and $${\overrightarrow d ...
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 surf...
JEE Main 2019 (Online) 10th January Morning Slot
Charge is distributed within a sphere of radius R with a volume charge density $$\rho \left( r \right) = {A \over {{r^2}...
JEE Main 2019 (Online) 9th January Evening Slot
Two point charges q1$$\left( {\sqrt {10} \mu C} \right)$$ and q2($$-$$ 25 $$\mu $$C) are placed on the x-axis at x = 1 m...
JEE Main 2019 (Online) 9th January Evening Slot
For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a distance h from...
JEE Main 2019 (Online) 9th January Morning Slot
Three charges + Q, q, + Q are placed respectively, at distance, 0, d/2 and d from the origin, on the x-axis. If the net...
JEE Main 2019 (Online) 9th January Morning Slot
Two identical conducting spheres A and B, carry equal charge. They are separated by a distance much larger than their d...
JEE Main 2018 (Online) 16th April Morning Slot
A solid ball of radius R has a charge density $$\rho $$ given by $$\rho $$ = $$\rho $$o (1 $$-$$ $${\raise0.5ex\hbox{$...
JEE Main 2018 (Online) 15th April Evening 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. ...
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 $$x$$-di...
JEE Main 2018 (Online) 15th April Morning Slot
Three concentric metal shells A, B and C of respective radii a, b and c (a < b < c) have surface charge densities ...
JEE Main 2018 (Offline)
Four closed surfaces and corresponding charge distributions are shown below. Let the respective electric fluxes through...
JEE Main 2017 (Online) 9th April Morning Slot
The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains 4 $$\mu $$C charge, ...
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 $$P,$$ ...
JEE Main 2017 (Online) 8th April Morning Slot
An electric dipole has a fixed dipole moment $$\overrightarrow p $$, which makes angle $$\theta$$ with respect to x-axis...
JEE Main 2017 (Offline)
Within a spherical charge distribution of charge density $$\rho $$(r), N equipotential surfaces of potential V0, V0 + $$...
JEE Main 2016 (Online) 10th April Morning Slot
The potential (in volts) of a charge distribution is given by. V(z) = 30 $$-$$ 5x2 for $$\left| z \right|$$ $$ \le $$ 1 ...
JEE Main 2016 (Online) 9th April Morning Slot
The region between two concentric spheres of radii $$'a'$$ and $$'b',$$ respectively (see figure), have volume charge de...
JEE Main 2016 (Offline)
A long cylindrical shell carries positives surfaces change $$\sigma $$ in the upper half and negative surface charge - $...
JEE Main 2015 (Offline)
Assume that an electric field $$\overrightarrow E = 30{x^2}\widehat i$$ exists in space. Then the potential difference ...
JEE Main 2014 (Offline)
A charge $$Q$$ is uniformly distributed over a long rod $$AB$$ of length $$L$$ as shown in the figure. The electric pote...
JEE Main 2013 (Offline)
Two charges, each equals to $$q,$$ are kept at $$x=-a$$ and $$x=a$$ on the $$x$$-axis. A particle of mass $$m$$ and char...
JEE Main 2013 (Offline)
This question has statement- $$1$$ and statement- $$2.$$ Of the four choices given after the statements, choose the one ...
AIEEE 2012
In a uniformly charged sphere of total charge $$Q$$ and radius $$R,$$ the electric field $$E$$ is plotted as function of...
AIEEE 2012
The electrostatic potential inside a charged spherical ball is given by $$\phi = a{r^2} + b$$ where $$r$$ is the distan...
AIEEE 2011
Two identical charged spheres suspended from a common point by two massless strings of length $$l$$ are initially a dist...
AIEEE 2011
A thin semi-circular ring of radius $$r$$ has a positive charges $$q$$ distributed uniformly over it. The net field $$\o...
AIEEE 2010
Let there be a spherically symmetric charge distribution with charge density varying as $$\rho \left( r \right) = {\rho ...
AIEEE 2010
Two points $$P$$ and $$Q$$ are maintained at the potentials of $$10$$ $$V$$ and $$-4$$ $$V$$, respectively. The work don...
AIEEE 2009
A charge $$Q$$ is placed at each of the opposite corners of a square. A charge $$q$$ is placed at each of the other two...
AIEEE 2009
(This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that...
AIEEE 2009
Let $$P\left( r \right) = {Q \over {\pi {R^4}}}r$$ be the change density distribution for a solid sphere of radius $$R$$...
AIEEE 2009
A thin spherical shell of radius $$R$$ has charge $$Q$$ spread uniformly over its surface. Which of the following graphs...
AIEEE 2008
A parallel plate condenser with a dielectric of dielectric constant $$K$$ between the plates has a capacity $$C$$ and is...
AIEEE 2007
Charges are placed on the vertices of a square as shown. Let $$\overrightarrow E $$ be the electric field and $$V$$ the ...
AIEEE 2007
The potential at a point $$x$$ (measured in $$\mu \,m$$) due to some charges situated on the $$x$$-axis is given by $$V\...
AIEEE 2007
An electric charge $${10^{ - 3}}\,\,\mu \,C$$ is placed at the origin $$(0,0)$$ of $$X-Y$$ co-ordinate system. Two point...
AIEEE 2007
Two insulating plates are both uniformly charged in such a way that the potential difference between them is $${V_2} - {...
AIEEE 2006
Two spherical conductors $$A$$ and $$B$$ of radii $$1$$ $$mm$$ and $$2$$ $$mm$$ are separated by a distance of $$5$$ $$c...
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
A charged ball $$B$$ hangs from a silk thread $$S,$$ which makes angle $$\theta $$ with a large charged conducting sheet...
AIEEE 2005
Two thin wire rings each having a radius $$R$$ are placed at a distance $$d$$ apart with their axes coinciding. The char...
AIEEE 2005
Two point charges $$+8q$$ and $$-2q$$ are located at $$x=0$$ and $$x=L$$ respectively. The location of a point on the $$...
AIEEE 2005
A charged oil drop is suspended in a uniform field of $$3 \times {10^4}$$ $$v/m$$ so that it neither falls nor rises. T...
AIEEE 2004
Four charges equal to -$$Q$$ are placed at the four corners of a square and a charge $$q$$ is at its center. If the sys...
AIEEE 2004
A charge particle $$'q'$$ is shot towards another charged particle $$'Q'$$ which is fixed, with a speed $$'v'$$. It appr...
AIEEE 2004
Two spherical conductors $$B$$ and $$C$$ having equal radii and carrying equal charges on them repel each other with a f...
AIEEE 2004
Three charges $$ - {q_1}, + {q_2}$$ and $$ - {q_3}$$ are placed as shown in the figure. The $$x$$-component of the force...
AIEEE 2003
The work done in placing a charge of $$8 \times {10^{ - 18}}$$ coulomb on a condenser of capacity $$100$$ micro-farad is...
AIEEE 2003
A thin spherical conducting shell of radius $$R$$ has a charge $$q.$$ Another charge $$Q$$ is placed at the center of th...
AIEEE 2003
If the electric flux entering and leaving an enclosed surface respectively is $${\phi _1}$$ and $${\phi _2},$$ the elect...
AIEEE 2003
If a charge $$q$$ is placed at the center of the line joining two equal charges $$Q$$ such that the system is in equilib...
AIEEE 2002
A charged particle $$q$$ is placed at the centre $$O$$ of cube of length $$L(ABCDEFGH).$$ Another same charge $$q$$ is p...
AIEEE 2002
On moving a charge of $$20$$ coulomb by $$2$$ $$cm,$$ $$2$$ $$J$$ of work is done, then the potential differences betwee...
AIEEE 2002

Numerical

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A long cylindrical volume contains a uniformly distributed charge of density $$\rho \,\mathrm{Cm}^{-3}$$. The electric f...
JEE Main 2022 (Online) 27th July Morning 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...
JEE Main 2022 (Online) 26th July Evening Shift
The volume charge density of a sphere of radius $$6 \mathrm{~m}$$ is $$2 \,\mu \mathrm{C} \,\mathrm{cm}^{-3}$$. The numb...
JEE Main 2022 (Online) 25th July Morning Shift
Eight similar drops of mercury are maintained at 12 V each. All these spherical drops combine into a single big drop. Th...
JEE Main 2022 (Online) 30th June Morning Shift
27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be...
JEE Main 2022 (Online) 25th June Evening 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...
JEE Main 2021 (Online) 25th July Morning Shift
The total charge enclosed in an incremental volume of 2 $$\times$$ 10$$-$$9 m3 located at the origin is ___________ nC, ...
JEE Main 2021 (Online) 22th July Evening 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 show...
JEE Main 2021 (Online) 20th July Morning 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, ...
JEE Main 2021 (Online) 18th March Evening Shift
The electric field in a region is given by $$\overrightarrow E = {2 \over 5}{E_0}\widehat i + {3 \over 5}{E_0}\widehat ...
JEE Main 2021 (Online) 17th March Evening Shift
The electric field intensity produced by the radiation coming from a 100 W bulb at a distance of 3 m is E. The electric ...
JEE Main 2021 (Online) 17th March Evening Shift
27 similar drops of mercury are maintained at 10V each. All these spherical drops combine into a single big drop. The po...
JEE Main 2021 (Online) 26th February Evening Shift
Two small spheres each of mass 10 mg are suspended from a point by threads 0.5 m long. They are equally charged and repe...
JEE Main 2021 (Online) 25th February Evening Shift
Two identical conducting spheres with negligible volume have 2.1 nC and $$-$$0.1 nC charges, respectively. They are brou...
JEE Main 2021 (Online) 25th February Evening Shift
The peak electric field produced by the radiation coming from the 8W bulb at a distance of 10 m is $${x \over {10}}\sqrt...
JEE Main 2021 (Online) 25th February Evening Shift
512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The po...
JEE Main 2021 (Online) 25th February Morning Slot
The electric field in a region is given by $$\overrightarrow E = \left( {{3 \over 5}{E_0}\widehat i + {4 \over 5}{E_0}\...
JEE Main 2021 (Online) 25th February Morning Slot
A point charge of +12$$\mu$$C is at a distance 6 cm vertically above the centre of a square of side 12 cm as shown in fi...
JEE Main 2021 (Online) 24th February Evening Slot
An electric field $$\overrightarrow E = 4x\widehat i - \left( {{y^2} + 1} \right)\widehat j$$ N/C passes through the bo...
JEE Main 2020 (Online) 9th January Evening Slot

MCQ (More than One Correct Answer)

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

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