Electrostatics PYQs - Last 10 Years
JEE Advanced / Physics / Electricity / 30 recent questions
PhysicsElectricity2017-2026
Practice 30 JEE Advanced Physics questions from Electrostatics. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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2017-2026
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Last 10 Years Electrostatics Questions
Showing 30 of 30 filtered questions.
1Electrostatics
Consider an electric dipole comprising two charges $+q$ and $-q$ each with mass $m$, separated by a fixed distance $d$ and initially at rest with its dipole moment pointing along $\hat{\imath}$. A uniform electric field $E \hat{\jmath}$ is ...
MCQM+4 / -12026
2Electrostatics
Two charges $Q_1 = q$ and $Q_2 = mq$ are placed at the points $P_1(a, b)$ and $P_2(ma, mb)$, respectively, in the $XY$ plane, where $a, b \neq 0$ and $m \neq 0, 1$. If $V_1$ is the potential at a point in the $XY$ plane due to charge $Q_1$ ...
MCQM+4 / -12026
3Electrostatics
Six infinitely large and thin non-conducting sheets are fixed in configurations I and II. As shown in the figure, the sheets carry uniform surface charge densities which are indicated in terms of $\sigma_0$. The separation between any two c...
MCQM+4 / -22025
4Electrostatics
A positive point charge of $10^{-8}$ C is kept at a distance of 20 cm from the center of a neutral conducting sphere of radius 10 cm. The sphere is then grounded and the charge on the sphere is measured. The grounding is then removed and su...
MCQM+4 / -22025
5Electrostatics
Two co-axial conducting cylinders of same length $\ell$ with radii $\sqrt{2}R$ and $2R$ are kept, as shown in Fig. 1. The charge on the inner cylinder is $Q$ and the outer cylinder is grounded. The annular region between the cylinders is fi...
MCQ+3 / -12025
6Electrostatics
List-I shows four configurations, each consisting of a pair of ideal electric dipoles. Each dipole has a dipole moment of magnitude $p$, oriented as marked by arrows in the figures. In all the configurations the dipoles are fixed such that ...
MCQ+4 / -12025
7Electrostatics
An infinitely long thin wire, having a uniform charge density per unit length of $5 \mathrm{nC} / \mathrm{m}$, is passing through a spherical shell of radius $1 \mathrm{~m}$, as shown in the figure. A $10 \mathrm{nC}$ charge is distributed ...
INTEGER+4 / -02024
8Electrostatics
A charge is kept at the central point $\mathrm{P}$ of a cylindrical region. The two edges subtend a half-angle $\theta$ at $\mathrm{P}$, as shown in the figure. When $\theta=30^{\circ}$, then the electric flux through the curved surface of ...
INTEGER+4 / -02024
9Electrostatics
A small electric dipole $\vec{p}_0$, having a moment of inertia $I$ about its center, is kept at a distance $r$ from the center of a spherical shell of radius $R$. The surface charge density $\sigma$ is uniformly distributed on the spherica...
MCQM+4 / -22024
10Electrostatics
Two beads, each with charge $q$ and mass $m$, are on a horizontal, frictionless, non-conducting, circular hoop of radius $a$. One of the beads is glued to the hoop at some point, while the other one performs small oscillations about its equ...
MCQ+3 / -12024
11Electrostatics
An electric dipole is formed by two charges $+q$ and $-q$ located in $x y$-plane at $(0,2) \mathrm{mm}$ and $(0,-2) \mathrm{mm}$, respectively, as shown in the figure. The electric potential at point $P(100,100) \mathrm{mm}$ due to the dipo...
MCQ+3 / -12023
12Electrostatics
A disk of radius $\mathrm{R}$ with uniform positive charge density $\sigma$ is placed on the $x y$ plane with its center at the origin. The Coulomb potential along the $z$-axis is
$$
V(z)=\frac{\sigma}{2 \epsilon_{0}}\left(\sqrt{R^{2}+z^{2...
$$
V(z)=\frac{\sigma}{2 \epsilon_{0}}\left(\sqrt{R^{2}+z^{2...
MCQM+4 / -22022
13Electrostatics
In the figure, the inner (shaded) region $A$ represents a sphere of radius $r_{A}=1$, within which the electrostatic charge density varies with the radial distance $r$ from the center as $\rho_{A}=k r$, where $k$ is positive. In the spheric...
MCQM+4 / -22022
14Electrostatics
A charge $q$ is surrounded by a closed surface consisting of an inverted cone of height $h$ and base radius $R$, and a hemisphere of radius $R$ as shown in the figure. The electric flux through the conical surface is $\frac{n q}{6 \epsilon_...
INTEGER+3 / -12022
15Electrostatics
Six charges are placed around a regular hexagon of side length $a$ as shown in the figure. Five of them have charge $q$, and the remaining one has charge $x$. The perpendicular from each charge to the nearest hexagon side passes through the...
MCQM+4 / -22022
16Electrostatics
Two point charges \(-\)Q and +Q/\(\sqrt 3\) are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respectively, as shown in the figure. This results in an equipotential circle of radius R and potential V = 0 in the xy-plane w...
INTEGER+2 / -02021
17Electrostatics
Two point charges \(-\)Q and +Q/\(\sqrt 3\) are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respectively, as shown in the figure. This results in an equipotential circle of radius R and potential V = 0 in the xy-plane w...
INTEGER+2 / -02021
18Electrostatics
A point charge q of mass m is suspended vertically by a string of length l. A point dipole of dipole
moment \(\overrightarrow p\) is now brought towards q from infinity so that the charge moves away. The final
equilibrium position of the s...
moment \(\overrightarrow p\) is now brought towards q from infinity so that the charge moves away. The final
equilibrium position of the s...
INTEGER+3 / -12020
19Electrostatics
Two large circular discs separated by a distance of 0.01 m are connected to a battery via a switch as
shown in the figure. Charged oil drops of density 900 kg m−3
are released through a tiny hole at the
center of the top disc. Once some oil...
shown in the figure. Charged oil drops of density 900 kg m−3
are released through a tiny hole at the
center of the top disc. Once some oil...
INTEGER+3 / -12020
20Electrostatics
Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point by two non-conducting, massless strings of same length. At equilibrium, the angle between the strings is \(\alpha\). The spheres are...
MCQM+4 / -22020
21Electrostatics
A circular disc of radius R carries surface charge density
\(\sigma \left( r \right) = {\sigma _0}\left( {1 - {r \over R}} \right)\), where \(\sigma\)0 is a constant
and r is the distance from the center of the disc. Electric flux through ...
\(\sigma \left( r \right) = {\sigma _0}\left( {1 - {r \over R}} \right)\), where \(\sigma\)0 is a constant
and r is the distance from the center of the disc. Electric flux through ...
INTEGER+4 / -02020
22Electrostatics
One end of a spring of negligible unstretched length and spring constant k is fixed at the origin (0, 0).
A point particle of mass m carrying a positive charge q is attached at its other end. The entire system
is kept on a smooth horizontal...
A point particle of mass m carrying a positive charge q is attached at its other end. The entire system
is kept on a smooth horizontal...
INTEGER+4 / -02020
23Electrostatics
A uniform electric field, \(\overrightarrow E = - 400\sqrt 3 \widehat y\) NC−1
is applied in a region. A charged particle of mass m
carrying positive charge q is projected in this region with an initial speed of 2\(\sqrt {10}\) $$ \times...
is applied in a region. A charged particle of mass m
carrying positive charge q is projected in this region with an initial speed of 2\(\sqrt {10}\) $$ \times...
MCQM+4 / -22020
24Electrostatics
An electric dipole with dipole moment \({{{p_0}} \over {\sqrt 2 }}(\widehat i + \widehat j)\) is held fixed at the origin O in the presence of a uniform electric field of magnitude E0.If the potential is constant on a circle of radius R cen...
MCQM+4 / -12019
25Electrostatics
A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V0. A hole with a small area \(\alpha\)4\(\pi\)R2(\(\alpha\) << 1) is made on the shell without affecting the ...
MCQ+3 / -12019
26Electrostatics
A charged shell of radius R carries a total charge Q. Given \(\phi\) as the flux of electric field through a closed cylindrical surface of height h, radius r and with its center same as that of the shell. Here, center of the cylinder is a ...
MCQM+4 / -12019
27Electrostatics
An infinitely long thin non-conducting wire is parallel to the \(z\)-axis and carries a uniform line charge density \(\lambda .\) It pierces a thin non-conducting spherical shell of radius \(R\) in such a way that the arc \(PQ\) subtends an...
MCQM+4 / -12018
28Electrostatics
A particle, of mass \({10^{ - 3}}\) \(kg\) and charge \(1.0\) \(C,\) is initially at rest. At time \(t=0,\) the particle comes under the influence of an electric field \(\overrightarrow E \left( t \right) = {E_0}\sin \,\,\) $$\omega t\wideh...
INTEGER+3 / -02018
29Electrostatics
The electric field \(E\) is measured at a point \(P(0,0,d)\) generated due to various charge distributions and the dependence of \(E\) on \(d\) is found to be different for different charge distributions. List-\({\rm I}\) contains differen...
MCQ+3 / -0.752018
30Electrostatics
A point charge \(+Q\) is placed just outside an imaginary hemispherical surface of radius \(R\) as shown in the figure. Which of the following statements is/are correct?
MCQM+4 / -12017