Electrostatics PYQs - Last 10 Years
JEE Main / Physics / Electricity / 241 recent questions
PhysicsElectricity2017-2026
Practice 241 JEE Main 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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Last 10 Years Electrostatics Questions
Showing 50 of 241 filtered questions.
1Electrostatics
Expression for an electric field is given by \(\overrightarrow{\mathrm{E}}=4000 x^{2} \hat{i} \frac{\mathrm{V}}{\mathrm{m}}\). The electric flux through the cube of side \(20 \mathrm{~cm}\) when placed in electric field (as shown in the fig...
INTEGER+4 / -12023
2Electrostatics
Which of the following correctly represents the variation of electric potential \((\mathrm{V})\) of a charged spherical conductor of radius \((\mathrm{R})\) with radial distance \((\mathrm{r})\) from the center?
MCQ+4 / -12023
3Electrostatics
Considering a group of positive charges, which of the following statements is correct ?
MCQ+4 / -12023
4Electrostatics
Two isolated metallic solid spheres of radii \(\mathrm{R}\) and \(2 \mathrm{R}\) are charged such that both have same charge density \(\sigma\). The spheres are then connected by a thin conducting wire. If the new charge density of the bigg...
MCQ+4 / -12023
5Electrostatics
Electric field in a certain region is given by \(\overrightarrow{\mathrm{E}}=\left(\frac{\mathrm{A}}{x^{2}} \hat{i}+\frac{\mathrm{B}}{y^{3}} \hat{j}\right) \text {. The } \mathrm{SI} \text { unit of } \mathrm{A} \text { and } \mathrm{B}\) a...
MCQ+4 / -12023
6Electrostatics
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 charge within the cuboid is $n \in_{0} C$.
The value of $n$ is _________ (if dimension o...
The value of $n$ is _________ (if dimension o...
INTEGER+4 / -12023
7Electrostatics
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 electric field due to charge $\mathrm{Q}$ in three different regions $\mathrm{I}, \mathrm{II}$ an...
MCQ+4 / -12023
8Electrostatics
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 is placed on \(x\) axis so that the electrostatic force on the proton is zero. In this situ...
INTEGER+4 / -12023
9Electrostatics
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 '\(\mathrm{S}\)' having area of \(4 \mathrm{~L}^{2}\). The flux through the opposite surface to '$$\mat...
MCQ+4 / -12023
10Electrostatics
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 and r is the distance from the center. The volume charge density inside the ball is $$-\la...
Here, \(a\) and \(b\) are constant and r is the distance from the center. The volume charge density inside the ball is $$-\la...
INTEGER+4 / -12023
11Electrostatics
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-axis. If coordinates of P and S are (1, 2, 0) m and (0, 0, 0) m respectively, the work done b...
MCQ+4 / -12023
12Electrostatics
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 between the plates with a kinetic energy 0.5 eV. The length of each plate is 10 cm. The angle...
INTEGER+4 / -12023
13Electrostatics
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 electric field is zero at \(x=2\)cm on the X-axis?
MCQ+4 / -12023
14Electrostatics
A stream of a positively charged particles having \({q \over m} = 2 \times {10^{11}}{C \over {kg}}\) and velocity \({\overrightarrow v _0} = 3 \times {10^7}\widehat i\,m/s\) is deflected by an electric field \(1.8\widehat j\) kV/m. The elec...
INTEGER+4 / -12023
15Electrostatics
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 distance between charges in air for the same electrostatic force?
MCQ+4 / -12023
16Electrostatics
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 :
MCQ+4 / -12023
17Electrostatics
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 equatorial line (perpendicular bisector) at which force experienced by a test charge $$\mat...
INTEGER+4 / -12023
18Electrostatics
Let \(\sigma\) be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different region \(E_{I}, E_{I I}\) and \(E_{I I I}\) are:
MCQ+4 / -12023
19Electrostatics
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 region is given by \(\overrightarrow{\mathrm{E}}=\mathrm{E}_{0} x \hat{i}\). Where $$\mathr...
INTEGER+4 / -12023
20Electrostatics
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 :
MCQ+4 / -12023
21Electrostatics
A thin infinite sheet charge and an infinite line charge of respective charge densities \(+\sigma\) and \(+\lambda\) are placed parallel at \(5 \mathrm{~m}\) distance from each other. Points 'P' and 'Q' are at \(\frac{3}{\pi}\) m and $$\fra...
INTEGER+4 / -12023
22Electrostatics
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 placed in an uniform electric field '\(\vec{E}\)' of 10 dyne/C making \(30^{\circ}\) angl...
MCQ+4 / -12023
23Electrostatics
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 \(x=R\) respectively from origin as shown. If \(\mathrm{q}=2 \times 10^{-6} \mathrm{C}\) and $$\mathrm{R...
INTEGER+4 / -12023
24Electrostatics
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 maximum. The charges of the two parts are:
MCQ+4 / -12023
25Electrostatics
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 __________ \(\mathrm{mV}\).
INTEGER+4 / -12023
26Electrostatics
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 moment \(30 \times 10^{-5} ~\mathrm{C} ~\mathrm{m}\) is enclosed by a closed surface, the net...
Assertion A : If an electric dipole of dipole moment \(30 \times 10^{-5} ~\mathrm{C} ~\mathrm{m}\) is enclosed by a closed surface, the net...
MCQ+4 / -12023
27Electrostatics
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 each point charge is \(20 \mathrm{~g}\). Assume that there is no friction between charge and...
INTEGER+4 / -12023
28Electrostatics
Three concentric spherical metallic shells X, Y and Z of radius a, b and c respectively [a < b < c] have surface charge densities \(\sigma,-\sigma\) and \(\sigma\) respectively. The shells X and Z are at same potential. If the radii of X & ...
INTEGER+4 / -12023
29Electrostatics
An electron revolves around an infinite cylindrical wire having uniform linear charge density \(2 \times 10^{-8} \mathrm{C} \mathrm{m}^{-1}\) in circular path under the influence of attractive electrostatic field as shown in the figure. The...
INTEGER+4 / -12023
30Electrostatics
In a metallic conductor, under the effect of applied electric field, the free electrons of the conductor
MCQ+4 / -12023
31Electrostatics
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 drop will be ____________ E. Where E is the potential energy of a single smaller drop.
INTEGER+4 / -12022
32Electrostatics
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 on the particle is 40 \(\mu\)C and the initial velocity is 200 ms\(-\)1, how much distance...
MCQ+4 / -12022
33Electrostatics
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 :
MCQ+4 / -12022
34Electrostatics
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 bisector. The value of x at which charge q will experience the maximum Coulomb's force is :
MCQ+4 / -12022
35Electrostatics
Given below are two statements.
Statement I : Electric potential is constant within and at the surface of each conductor.
Statement II : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at eve...
Statement I : Electric potential is constant within and at the surface of each conductor.
Statement II : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at eve...
MCQ+4 / -12022
36Electrostatics
A spherically symmetric charge distribution is considered with charge density varying as
$$\rho(r)= \begin{cases}\rho_{0}\left(\frac{3}{4}-\frac{r}{R}\right) & \text { for } r \leq R \\ \text { zero } & \text { for } r>R\end{cases}$$
Where,...
$$\rho(r)= \begin{cases}\rho_{0}\left(\frac{3}{4}-\frac{r}{R}\right) & \text { for } r \leq R \\ \text { zero } & \text { for } r>R\end{cases}$$
Where,...
MCQ+4 / -12022
37Electrostatics
Two identical metallic spheres \(\mathrm{A}\) and \(\mathrm{B}\) when placed at certain distance in air repel each other with a force of \(\mathrm{F}\). Another identical uncharged sphere \(\mathrm{C}\) is first placed in contact with $$\ma...
MCQ+4 / -12022
38Electrostatics
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) at the corner D of the square, is :
MCQ+4 / -12022
39Electrostatics
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 charge may increase if the charge is positive.
Statement II : An electric dipole is placed in ...
Statement I : A point charge is brought in an electric field. The value of electric field at a point near to the charge may increase if the charge is positive.
Statement II : An electric dipole is placed in ...
MCQ+4 / -12022
40Electrostatics
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 electric field at the middle point O between the charges is 6.4 \(\times\) 104 NC\(-\)1. The...
MCQ+4 / -12022
41Electrostatics
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 uniform electric fields of strengths \(5 \times 10^{4} \,\mathrm{NC}^{-1}\) and $$15 \times 1...
INTEGER+4 / -12022
42Electrostatics
A uniform electric field \(\mathrm{E}=(8 \mathrm{~m} / \mathrm{e}) \,\mathrm{V} / \mathrm{m}\) is created between two parallel plates of length \(1 \mathrm{~m}\) as shown in figure, (where \(\mathrm{m}=\) mass of electron and e = charge of ...
MCQ+4 / -12022
43Electrostatics
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 equilateral triangle of side 1m.
The ratio of net force on a charged ball to the force betwe...
The ratio of net force on a charged ball to the force betwe...
MCQ+4 / -12022
44Electrostatics
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 :
MCQ+4 / -12022
45Electrostatics
A long cylindrical volume contains a uniformly distributed charge of density \(\rho \,\mathrm{Cm}^{-3}\). The electric field inside the cylindrical volume at a distance \(x=\frac{2 \varepsilon_{0}}{\rho} \mathrm{m}\) from its axis is ______...
INTEGER+4 / -12022
46Electrostatics
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 placed at midpoint between two fixed charges. For a small displacement along the line joining t...
MCQ+4 / -12022
47Electrostatics
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 charges so that the force between them is maximum, will be :
MCQ+4 / -12022
48Electrostatics
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 permanent dipole moment.
Reason (R) : When a non-polar material is placed in an electric ...
Assertion (A) : Non-polar materials do not have any permanent dipole moment.
Reason (R) : When a non-polar material is placed in an electric ...
MCQ+4 / -12022
49Electrostatics
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 density of bigger drop to the smaller drop will be :
MCQ+4 / -12022
50Electrostatics
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 right angled triangle whose sides are \(A B=3 \mathrm{~cm}, B C=3 \sqrt{2} \mathrm{~cm}\) and...
INTEGER+4 / -12022