Electrostatics PYQs - Last 10 Years
WB JEE / Physics / Electricity / 35 recent questions
PhysicsElectricity2017-2026
Practice 35 WB JEE 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 35 of 35 filtered questions.
1Electrostatics
A simple pendulum of length $l$ has a bob of mass $m$ ，with a charge $q$ ．On it a vertical sheet of charge， with surface charge density＇$\sigma$＇passes through the point of suspension．At equilibrium，if the string makes an angle $\theta$ wit...
MCQ+1 / -0.252026
2Electrostatics
Two charges $+q$ and $-q$ are placed at points $A$ and $B$ respectively which are at a distance $2 L_{\mathrm{p} p a t}$ $C$ is the mid point of $A$ and $B$. The workdone in moving a charge $+Q$ along the semicircle $\operatorname{CSD}\left...
MCQ+1 / -0.252025
3Electrostatics
Consider a particle of mass 1 gm and charge 1.0 Coulomb is at rest. Now the particle is subjected to an electric field $E(t)=E_0 \sin \omega t$ in the $x$-direction, where $E_0=2$ Newton/Coulomb and $\omega=1000 \mathrm{rad} / \mathrm{sec}$...
MCQ+1 / -0.252025
4Electrostatics
A charge Q is placed at the centre of a cube of sides a. The total flux of electric field through the six surfaces of the cube is
MCQ+1 / -0.252024
5Electrostatics
Three point charges \(\mathrm{q},-2 \mathrm{q}\) and \(\mathrm{q}\) are placed along \(x\) axis at \(x=-{a}, 0\) and $a$ respectively. As \(\mathrm{a} \rightarrow 0\) and \(\mathrm{q} \rightarrow \infty\) while $$\mathrm{q} \mathrm{a}^2=\ma...
MCQ+1 / -0.252024
6Electrostatics
Consider the integral form of the Gauss' law in electrostatics
\(\oint {\overrightarrow E .d\overrightarrow S } = {Q \over {{\varepsilon _0}}}\)
Which of the following statements are correct?
\(\oint {\overrightarrow E .d\overrightarrow S } = {Q \over {{\varepsilon _0}}}\)
Which of the following statements are correct?
MCQM+2 / -02024
7Electrostatics
An electric dipole of dipole moment \(\vec{p}\) is placed at the origin of the co-ordinate system along the \(\mathrm{z}\)-axis. The amount of work required to move a charge '\(\mathrm{q}\)' from the point \((\mathrm{a}, 0, 0)\) to the poin...
MCQ+1 / -0.252023
8Electrostatics
The figure represents two equipotential lines in x-y plane for an electric field. The x-component E\(_x\) of the electric field in space between these equipotential lines is,
MCQ+1 / -0.252023
9Electrostatics
A thin glass rod is bent in a semicircle of radius R. A charge is non-uniformly distributed along the rod with a linear charge density \(\lambda=\lambda_0\sin\theta\) (\(\lambda_0\) is a positive constant). The electric field at the centre...
MCQ+1 / -0.252023
10Electrostatics
Consider a positively charged infinite cylinder with uniform volume charge density \(\rho > 0\). An electric dipole consisting of + Q and \(-\) Q charges attached to opposite ends of a massless rod is oriented as shown in the figure. At th...
MCQ+1 / -0.252023
11Electrostatics
A hemisphere of radius R is placed in a uniform electric field E so that its axis is parallel to the field. Which of the following statement(s) is/are true?
MCQM+2 / -02022
12Electrostatics
Consider two concentric conducting sphere of radii R and 2R respectively. The inner sphere is given a charge +Q. The other sphere is grounded. The potential at \(r = {{3R} \over 2}\) is
MCQ+1 / -0.252022
13Electrostatics
A neutral conducting solid sphere of radius R has two spherical cavities of radius a and b as shown in the figure. Centre to centre distance between two cavities is c. qa and qb charges are placed at the centres of cavities respectively. T...
MCQ+1 / -0.252022
14Electrostatics
Two charges, each equal to \(-\)q are kept at (\(-\)a, 0) and (a, 0). A charge q is placed at the origin. If q is given a small displacement along y direction, the force acting on q is proportional to
MCQ+1 / -0.252022
15Electrostatics
The electric potential for an electric field directed parallel to X-axis is shown in the figure. Choose the correct plot of electric field strength.
MCQ+1 / -0.252022
16Electrostatics
Two point charges +q1 and +q2 are placed a finite distance d apart. It is desired to put a third charge q3 in between these two charges, so that q3 is in equilibrium. This is
MCQ+1 / -0.252021
17Electrostatics
Three infinite plane sheets carrying uniform charge densities \(-\) \(\sigma\), 2\(\sigma\), 4\(\sigma\) are placed parallel to XZ-plane at Y = a, 3a, 4a respectively. The electric field at the point (0, 2a, 0) is
MCQ+1 / -0.252021
18Electrostatics
A metal sphere of radius R carrying charge q is surrounded by a thick concentric metal shell of inner and outer radii a and b, respectively. The net charge on the shell is zero. The potential at the centre of the sphere, when the outer surf...
MCQ+1 / -0.252021
19Electrostatics
The variation of electric field along the Z-axis due to a uniformly charged circular ring of radius a in XY-plane as shown in the figure. The value of coordinate M will be
MCQ+1 / -0.252021
20Electrostatics
Four identical point masses, each of mass m and carrying charge + q are placed at the corners of a square of sides a on a frictionless plane surface. If the particles are released simultaneously, the kinetic energy of the system when they a...
MCQ+1 / -0.252020
21Electrostatics
As shown in the figure, a point charge q1 = + 1 \(\times\) 10-6 C is placed at the origin in xy-plane and another point charge q2 = + 3 \(\times\) 10-6 C is placed at the coordinate (10, 0).In that case, which of the following graph(s) ...
MCQ+1 / -0.252020
22Electrostatics
Two pith balls, each carrying charge + q are hung from a hook by two springs. It is found that when each charge is tripled, angle between the strings double. What was the initial angle between the strings?
MCQ+2 / -0.52020
23Electrostatics
A very long charged solid cylinder of radius a contains a uniform charge density p. Dielectric constant of the material of the cylinder is K. What will be the magnitude of electric field at a radial distance x (x < a) from the axis of the c...
MCQ+1 / -0.252020
24Electrostatics
A pair of parallel metal plates are kept with a separation d. One plate is at a potential + V and the other is at ground potential. A narrow beam of electrons enters the space between the plates with a velocity v0 and in a direction paralle...
MCQ+2 / -0.52020
25Electrostatics
Eleven equal point charges, all of them having a charge +Q, are placed at all the hour positions of a circular clock of radius r, except at the 10 h position. What is the electric field strength at the centre of the clock?
MCQ+1 / -0.252019
26Electrostatics
A negative charge is placed at the midpoint between two fixed equal positive charges, separated by a distance 2d. If the negative charge is given a small displacement x(x < < d) perpendicular to the line joining the positive charges, how th...
MCQ+1 / -0.252019
27Electrostatics
A point charge \(-\) q is carried from a point A to another point B on the axis of a charged ring of radius r carrying a charge + q. If the point A is at a distance \({4 \over 3}r\) from the centre of the ring and the point B is $${3 \over ...
MCQ+1 / -0.252018
28Electrostatics
The bob of a pendulum of mass m, suspended by an inextensible string of length L as shown in the figure carries a small charge q. An infinite horizontal plane conductor with uniform surface charge density \(\sigma\) is placed below it. What...
MCQ+2 / -0.52018
29Electrostatics
Two positive charges Q and 4Q are placed at points A and B respectively, where B is at a distance d units to the right of A. The total electric potential due to these charges is minimum at P on the line through A and B. What is (are) the di...
MCQM+2 / -02018
30Electrostatics
Four equal charges of value + Q are placed at any four vertices of a regular hexagon of side 'a'. By suitably choosing the vertices, what can be maximum possible magnitude of electric field at the centre of the hexagon?
MCQ+1 / -0.252018
31Electrostatics
Consider a region in free space bounded by the surfaces of an imaginary cube having sides of length a as shown in the figure. A charge + Q is placed at the centre O of the cube. P is such a point outside the cube that the line OP perpendicu...
MCQ+1 / -0.252018
32Electrostatics
A unit negative charge with mass M resides at the mid-point of the straight line of length 2a adjoining two fixed charges of magnitude +Q each. If it is given a very small displacement x(x << a) in a direction perpendicular to the straight ...
MCQ+2 / -0.52017
33Electrostatics
A charge of 0.8 coulomb is divided into two charges Q1 and Q2. These are kept at a separation of 30 cm. The force on Q1 is maximum when
MCQ+1 / -0.252017
34Electrostatics
A particle with charge Q coulomb, tied at the end of an inextensible string of length R metre, revolves in a vertical plane. At the centre of the circular trajectory, there is a fixed charge of magnitude Q coulomb. The mass of the moving ch...
MCQ+2 / -0.52017
35Electrostatics
A positive charge Q is situated at the centre of a cube. The electric flux through any face of the cube is (in SI units)
MCQ+1 / -0.252017