Q JEE MAIN_2026_

Identify the correct statements : A. Electrostatic field lines form closed loops . B. The electric field lines point radially...

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Q JEE MAIN 2026

Two point charges of 1 nC and 2 nC are placed at the two corners of equilateral triangle of side...

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Q JEE MAIN 2026

A point charge $q=1 \mu \mathrm{C}$ is located at a distance 2 cm from one end of a thin insulating...

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Q JEE MAIN 2026

There are three co-centric conducting spherical shells $\mathrm{A}, \mathrm{B}$ and $C$ of radii $\mathrm{a}, \mathrm{b}$ and $c$ respectively $(c>b>a)$ and...

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Q JEE MAIN 2026

The electrostatic potential in a charged spherical region of radius $r$ varies as $V=a r^3+b$, where $a$ and $b$ are...

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Q JEE MAIN 2026

Two point charges 2q and q are placed at vertex A and centre of face CDEF of the cube as...

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Q JEE MAIN 2026

Three charges $+2 q,+3 q$ and $-4 q$ are situated at $(0,-3 a),(2 a, 0)$ and $(-2 a, 0)$ respectively...

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Q JEE MAIN 2026

Two charges $7 \mu \mathrm{C}$ and $-2 \mu \mathrm{C}$ are placed at $(-9,0,0) \mathrm{cm}$ and $(9,0,0) \mathrm{cm}$ respectively in an...

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Q JEE MAIN 2026

Two shorts dipoles ( $\mathrm{A}, \mathrm{B}$ ), A having charges $\pm 2 \mu \mathrm{C}$ and length 1 cm and B...

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Q JEE MAIN 2026

A simple pendulum has a bob with mass $m$ and charge q . The pendulum string has negligible mass. When...

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Q JEE MAIN 2026

Electric field in a region is given by $\vec{E}=A x \hat{i}+B y \hat{j}$, where $A=10 \mathrm{~V} / \mathrm{m}^2$ and $...

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Q JEE MAIN 2026

Three small identical bubbles of water having same charge on each coalesce to form a bigger bubble. Then the ratio...

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Q JEE MAIN 2026

Five positive charges each having charge $q$ are placed at the vertices of a pentagon as shown in the figure....

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Q JEE MAIN 2026

Six point charges are kept $60^{\circ}$ apart from each other on the circumference of a circle of radius $R$ as...

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Q JEE MAIN 2026

A point charge of $10^{-8} \mathrm{C}$ is placed at origin. The work done in moving a point charge $...

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Q JEE MAIN 2026

Consider two identical metallic spheres of radius R each having charge Q and mass m. Their centers have an initial...

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Q JEE MAIN 2020

A charged particle (mass $m$ and charge $q$ ) moves along X -axis with velocity V 0 . When it...

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Q JEE MAIN 2020

A charge $Q$ is distributed over two concentric conducting thin spherical shells radii $r$ and $R(R>r)$. If the surface charge...

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Q JEE MAIN 2020

A small point mass carrying some positive charge on it, is released from the edge of a table. There is...

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Q JEE MAIN 2019

A point dipole $\hat{p}=-p_0 \hat{x}$ is kept at the origin. The potential and electric field due to this dipole on...

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Q JEE-MAIN 2019

Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as...

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Q JEE MAIN 2019

Charge is distributed within a sphere of radius $R$ with volume charge density $\rho(r)=\frac{A}{r^2} e^{\frac{-2 r}{a}}$, where $A$ and a...

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Q JEE-MAIN 2019

There is a uniform spherically symmetric surface charge density at a distance $\mathrm{R}_0$ from the origin. The charge distribution is...

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Q JEE MAIN 2019

Two point charges $\mathrm{q}_1(\sqrt{10} \mu \mathrm{C})$ and $\mathrm{q}_2(-25 \mu \mathrm{C})$ are placed on the x -axis at $\mathrm{x}=1 \mathrm{~m}$ and...

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Q JEE MAIN_2019_

A uniformly charged ring of radius 3a and total charge q is placed in xy-plane centred at origin. A point...

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Q JEE MAIN 2019

Let a total charge 2 Q be distributed in a sphere of radius R, with the charge density given by...

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Q JEE MAIN 2020

A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume. A very small...

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Q JEE MAIN 2019

A system of three charges are placed as shown in the figure : If D >> d, the potential energy...

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Q JEE MAIN 2020

Charges $Q_1$ and $Q_2$ are at points $A$ and $B$ of a right angle triangle $O A B$ (see figure)....

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Q JEE MAIN 2020

Consider the force F on a charge ‘q’ due to a uniformly charged spherical shell of radius R carrying charge...

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Q JEE MAIN 2020

Two identical electric point dipoles have dipole moments $\overline{\mathrm{p}_1}=\mathrm{p} \hat{\mathrm{i}}$ and $\overline{\mathrm{p}_2}=\mathrm{p} \hat{\mathrm{i}}$ and are held on the $x$ axis...

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Q JEE MAIN 2020

In a fluorescent lamp choke (a small transformer) 100 V of reverse voltage is produced when the choke current changes...

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Q JEE MAIN 2020

An electric dipole of moment $\vec{p}-=(-\hat{i}-3 \hat{j}+2 \hat{k}) \times 10^{-29}$ C.m is at the origin $(0,0$, 0 ). The electric...

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Q JEE MAIN 2020

Consider a sphere of radius $R$ which carries a uniform charge density $\rho$. If a sphere of radius $\frac{R}{2} \frac{R}{2}$...

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Q JEE MAIN 2019

Three charges Q, +q and +q are placed at the vertices of a right-angle isosceles triangles as shown below. The...

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Q JEE MAIN 2019

The given graph shows variation (with distance r from centre) of

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Q JEE MAIN 2020

In finding the electric field using Gauss law the formula $|\vec{E}|=\frac{q_{\text {enc }}}{\varepsilon_0|A|}$ is applicable. In the formula $\varepsilon_0$ is...

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Q JEE MAIN 2020

Three charged particles A, B and C with charges –4q, 2q and –2q are present on the circumference of a...

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Q JEE-MAIN 2020

Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges....

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Q JEE Main 2019

A charge Q is distributed over three concentric spherical shells of radii a, b, c (a < b < c)...

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Q JEE Main 2019

Two electric dipoles, $A, B$ with respective dipole moments $\overrightarrow{\mathrm{d}}_{\mathrm{A}}=-4 q a \hat{\mathrm{i}}$ and $\overrightarrow{\mathrm{d}}_{\mathrm{B}}=-2 q a \hat{\mathrm{i}}$ are placed...

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Q JEE MAIN 2019

7 Charge is distributed within a sphere of radius $R$ with volume charge density $\rho(r)=\frac{A}{r^2} e^a$, where $A$ and a...

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Q JEE MAIN 2019

Given the equilibrium constant : $\mathrm{K}_{\mathrm{C}}$ of the reaction:- $\mathrm{Cu}(\mathrm{s})+2 \mathrm{Ag}^{+}(\mathrm{aq}) \rightarrow \mathrm{Cu}^{2+}(\mathrm{aq})+2 \mathrm{Ag}(\mathrm{s})$ is $10 \times 10^{15}$ calculate the...

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Q JEE MAIN 2020

An electric field $\stackrel{m \mathrm{E}}{\mathrm{E}}=4 x \hat{\mathrm{i}}-\left(\mathrm{y}^2+1\right) \hat{\mathrm{j}} \mathrm{N} / \mathrm{C}$ passes through the box shown in figure. The flux...

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Q JEE MAIN 2020

Two charged thin infinite plane sheets of uniform surface charge density $\sigma_{+}$and $\sigma_{-}$, where $\left|\sigma_{+}\right|>\left|\sigma_{-}\right|$, intersect at right angle. Which...

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Q JEE MAIN 2020

A particle of charge $q$ and mass $m$ is subjected to an electric field $E=E_0\left(1-a x^2\right)$ in the $x$-direction, where...

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Q JEE MAIN 2019

An electric field of $1000 \mathrm{~V} / \mathrm{m}$ is applied to an electric dipole at angle of $45^{\circ}$. The value...

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Q JEE-MAIN 2020

The mass density of a planet of radius $R$ varies with the distance $r$ from its centre as $\rho(r)=\rho_0\left(1-\frac{r^2}{R^2}\right)$. Then...

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Q JEE-MAIN 2020

Concentric metallic hollow spheres of radii R and 4R hold charges $Q_1$ and $Q_2$ respectively. Given that surface charge densities...

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Q JEE MAIN 2019

Two point charges $q_1(\sqrt{10} \mu \mathrm{C})$ and $q_2(-25 \mu \mathrm{C})$ are placed on the $x$-axis at $x=1 \mathrm{~m}$ and $...

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Q JEE MAIN 2020

Consider two charged metallic spheres $S_1$ and $S_2$ of radii $R_1$ and $R_2$, respectively. The electric fields $E_1$ (on $S_1$...

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Q JEE MAIN 2020

A particle of mass m and charge q is released from rest in a uniform electric field. If there is...

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Q JEE MAIN 2019

For point charges $-q,+q,+q$ and $-q$ are placed on $y$-axis at $y=-2 d, y=-d, y=+d$ and $y=+2 d$, respectively. The...

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Q JEE MAIN 2021

When a rubber ball is taken to a depth of $\_\_\_\_$ m in deep sea, its volume decreases by $...

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Q JEE MAIN 2021

Choose the incorrect statement : (a) The electric lines of force entering into a Gaussian surface provide negative flux. (b)...

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Q JEE MAIN 2021

Which of the following equations is dimensionally incorrect? Where $\mathrm{t}=$ time, $\mathrm{h}=$ height, $\mathrm{s}=$ surface tension, $\theta=$ angle, $\rho=$ density,...

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Q JEE MAIN 2019

Charges –q and +q located at A and B, respectively, constitute an electric dipole. Distance AB = 2a, O is...

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Q JEE MAIN 2021

Choose the incorrect statement :

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Q JEE MAIN 2019

Four equal point charges Q each are placed in the xy plane at (0, 2), (4, 2), (4, –2) and...

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Q JEE-MAIN 2021

Wires $W_1$ and $W_2$ are made of same material having the breaking stress of $...

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Q JEE MAIN 2021

Four identical hollow cylindrical columns of mild steel support a big structure of mass $50 \times 10^3 \mathrm{~kg}$, The inner...

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Q JEE-MAIN 2021

Figure shows a rod $A B$, which is bent in a $120^{\circ}$ circular arc of radius $R$. A charge (...

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Q JEE MAIN 2021

Four identical hollow cylindrical columns of mild steel support a big structure of mass $50 \times 10^3 \mathrm{~kg}$, The inner...

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Q JEE MAIN

Two particles A and B having charges $20 \mu \mathrm{C}$ and $-5 \mu \mathrm{C}$ respectively are held fixed with a...

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Q JEE MAIN 2019

A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the potential...

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Q JEE MAIN 2019

The bob of a simple pendulum has mass 2 g and a charge of $5.0 \mu \mathrm{C}$. It is at...

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Q JEE-MAIN 2021

Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth pulley....

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Q JEE MAIN 2021

A solid metal sphere of radius R having charge q is enclosed inside the concentric spherical shell of inner radius...

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Q JEE-MAIN 2021

The two thin coaxial rings, each of radius 'a' and having charges +Q and –Q respectively are separated by a...

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Q JEE MAIN 2021

What will be the magnitude of electric field at point O as shown in figure? Each side of the figure...

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Q JEE-MAIN 2021

For the given circuit the current i through the battery when the key in closed and the steady state has...

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Q JEE-MAIN 2021

A cube is placed inside an electric field, $\overrightarrow{\mathrm{E}}-=150 \mathrm{y}^2 \hat{\mathrm{j}}$. The side of the cube is 0.5 m and...

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Q JEE MAIN 2021

Two ideal electric dipoles $A$ and $B$ having their dipole moment $p_1$ and $p_2$ respectively are placed on a plane...

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Q JEE-MAIN 2021

A particle of mass 1 mg and charge q is lying at the mid-point of two stationary particles kept at...

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Q JEE MAIN 2021

The total charge enclosed in an incremental volume of $2 \times 10^{-9} \mathrm{~m}^3$ located at the origin is $\_\_\_\_$ $...

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Q

What will be the magnitude of electric field at point O as shown in figure? Each side of the figure...

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Q JEE MAIN 2021

an electric dipole is placed on $x$-axis in proximity to a line charge of linear charge density $...

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Q JEE MAIN 2021

Two identical tennis balls each having mass ' $m$ ' and charge ' $q$ ' are suspended from a fixed...

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Q JEE MAIN 2019

A positive point charge is released from rest at a distance $r_0$ from a positive line charge with uniform density....

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Q JEE MAIN 2021

A certain charge Q is divided into two parts q and (Q–q). How should the charges Q and q be...

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Q JEE MAIN 2019

An electric dipole is formed by two equal and opposite charges $q$ with separation $d$. The charges have same mass...

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Q JEE MAIN 2019

The electric field in a region is given by $\vec{E}=(A x+B) \hat{i}$, where $E$ is in $N C^{-1}$ and $x$...

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Q JEE MAIN 2021

A cube is placed inside an electric field, ${ }^{\hat{\mathrm{E}}-=150 \mathrm{y}^2 \mathrm{j}}$. The side of the cube is 0.5 m...

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Q JEE MAIN 2022

A charge of $4 \mu \mathrm{C}$ is to be divided into two. The distance between the two divided charges is...

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Q JEE MAIN 2021

An infinite number of point charges, each carrying $1 \mu \mathrm{C}$ charge, are placed along the y -axis at $...

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Q JEE Main 2019

For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a...

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Q JEE Main 2019

Three charges +Q, q, +Q are placed respectively, at distance, 0, d/2 and d from the origin, on the x-axis....

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Q JEE MAIN 2021

Find out the surface charge density at the intersection of point x = 3 m plane and x-axis, in the...

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Q JEE MAIN 2021

An oil drop of radius 2 mm with a density $3 \mathrm{~g} \mathrm{~cm}^{-3}$ his held stationary under a constant electric...

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Q JEE MAIN 2021

Two identical conducting spheres with negligible volume have 2.1 nC and -0.1 nC charges, respectively. They are brought into contact...

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Q JEE MAIN 2021

Two small spheres each of mass 10 mg are suspended from a point by threads 0.5 m long. They are...

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Q JEE MAIN 2021

A cube of side ' $a$ ' has point charges $+Q$ located at each of its vertices except at the...

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Q JEE MAIN 2021

Find the electric field at point P (as shown in figure) on the perpendicular bisector of a uniformly charged thin...

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Q JEE MAIN 2021

A charge q is placed at one corner of a cube as shown in figure. The flux of electrostatic field...

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Q JEE MAIN 2021

The normal density of a material is $\rho$ and its bulk modulus of elasticity is K. The magnitude of increase...

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Q JEE MAIN 2021

512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a...

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Q JEE MAIN 2021

The length of metallic wire is $\ell_1$ when tension in it is $T_1$. It is $\ell_2$ when the tension is...

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Q JEE MAIN 2021

A point charge of $+12 \mu \mathrm{C}$ is at a distance 6 cm vertically above the centre of a square...

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Q JEE ,AIN 2021

The length of metallic wire is $\ell_1$ when tension in it is $T_1$. It is $\ell_2$ when the tension is...

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Q JEE MAIN 2021

Two electrons each are fixed at a distance '2d'. A third charge proton placed at the midpoint is displaced slightly...

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Q JEE MAIN 2022

Two point charges $A$ and $B$ of magnitude $+8 \times 10^{-6} \mathrm{C}$ and $-8 \times 10^{-6} \mathrm{C}$ respectively are placed...

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Q JEE Main 2022

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 difference...

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Q JEE MAIN 2022

An $\alpha$ particle and a proton are accelerated from rest through the same potential difference. The ratio of linear momenta...

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Q JEE MAIN 2022

A uniform electric field E = (8 m/e) V/m is created between two parallel plates of length 1m as shown...

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Q JEE MAIN 2022

Two identical metallic spheres A and B when placed at certain distance in air repel each other with a force...

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Q JEE MAIN 2022

A long cylindrical volume contains a uniformly distributed charge of density $\rho \mathrm{Cm}^{-3}$. The electric field inside the cylindrical volume...

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Q JEE MAIN 2022

The volume charge density of a sphere of radius 6 m is $2 \mu \mathrm{C} \mathrm{cm}^{-3}$. The number of lines...

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Q JEE MAIN 2022

Given below are two statements. Statement I : Electric potential is constant within and at the surface of each conductor....

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Q JEE MAIN 2022

A spherically symmetric charge distribution is considered with charge density varying as

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Q JEE MAIN 2022

Two identical positive charges $Q$ each are fixed at a distance of '2a' apart from each other. Another point charge...

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Q JEE MAIN 2022

If the electric potential at any point (x, y, z)m in space is given by $V=3 x^2$ volt. The electric...

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Q JEE MAIN 2022

Three identical charged balls each of charge 2C are suspended from a common point P by silk threads of 2m...

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Q JEE MAIN 2022

If a charge q is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through...

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Q JEE MAIN 2022

27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger...

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Q JEE MAIN 2022

Two point charges Q each are placed at a distance d apart. A third point charge q is placed at...

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Q JEE MAIN 2022

A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength $...

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Q JEE MAIN 2022

Given below are two statements : Statement-I : A point charge is brought in an electric field. The value of...

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Q JEE MAIN 2022

Assertion (A) : Non-polar amterials do not have my permanent dipole moment. Reason (R) : When an non-polar material is...

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Q JEE MAIN 2022

A vertical electric field of magnitude $4.9 \times 10^5 \mathrm{~N} / \mathrm{C}$ just prevents a water droplet of a mass...

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Q JEE-Main_2024

An electric field is given by $(6 \hat{\imath}+5 \hat{\jmath}+3 \hat{k}) N / C$. The electric flux through a surface area...

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Q JEE MAIN 2024

Suppose a uniformly charged wall provides a uniform electric field of $2 \times 10^4 \mathrm{~N} / \mathrm{C}$ normally. A charged...

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Q JEE MAIN 2022

The bulk modulus of a liquid is $3 \times 10^{10} \mathrm{Nm}^{-2}$ The pressure required to reduce the volume of liquid...

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Q JEE MAIN 2024

Two identical spheres each of mass 2 kg and radius 50 cm are fixed at the ends of a light...

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Q JEE MAIN 2024

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 $\mathrm{B}(2,-1,5) \mathrm{m}$...

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Q JEE MAIN 2024

$\mathrm{C}_1$ and $\mathrm{C}_2$ are two hollow concentric cubes enclosing charges 2Q and 3Q respectively as shown in figure. The ratio...

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Q JEE MAIN 2024

Two identical charged spheres are suspended by string of equal lengths. The string make an angle of $37^{\circ}$ with each...

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Q JEE MAIN 2024

Force between two point charges $\mathrm{q}_1$ and $\mathrm{q}_2$ placed in vacuum at ' $r$ ' cm apart is $F$. Force...

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Q JEE MAIN 2024

Given below are two statements : one is labelled a Assertion (A) and the other is labelled as Reason(R) Assertion...

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Q JEE MAIN 2024

A particle of charge ${ }^{\prime}-q$ ' and mass ${ }^{\prime} m$ ' moves in a circle of radius $...

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Q JEE MAIN 2023

A dipole comprises of two charged particles of identical magnitude $q$ and opposite in nature. The mass ' $m$ '...

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Q JEE MAIN 2023

A stream of a positively charged particles having $\frac{\mathrm{q}}{\mathrm{m}} \times 2 \times 10^{11} \frac{\mathrm{C}}{\mathrm{kg}}$ and velocity $...

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Q JEE MAIN 2025

Electric charge is transferred to an irregular metallic disk as shown in figure. If $\sigma_1, \sigma_2, \sigma_3$ and $\sigma_4$ are...

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Q JEE MAIN 2025

Two metal spheres of radius $R$ and 3 R have same surface charge density $\sigma$. If they are brought in...

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Q JEE MAIN 2025

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason Assertion A...

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Q JEE MAIN 2025

An infinitely long wire has uniform linear charge density $\lambda=2 \mathrm{nC} / \mathrm{m}$. The net flux through a Gaussian cube...

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Q JEE MAIN 2025

The electric field in a region is given by $\overrightarrow{\mathrm{E}}=(2 \hat{i}+4 \hat{j}+6 \hat{k}) \times 10^3 \mathrm{~N} / \mathrm{C}$. The flux...

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Q JEE MAIN 2025

A dipole with two electric charges of $2 \mu \mathrm{C}$ magnitude each, with separation distance $0.5 \mu \mathrm{~m}$, is placed...

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Q JEE MAIN 2025

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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Q JEE MAIN 2025

A metallic ring is uniformly charged as shown in figure. AC and BD are two mutually perpendicular diameters. Electric field...

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Q JEE MAIN 2023

An electron revolves around an infinite cylindrical wire having uniform linear change density $2 \times 10^{-8} \mathrm{Cm}^{-1}$ in circular path...

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Q JEE MAIN 2023

Three point charges $q,-2 q$ and $2 q$ are placed on $x$-axis at a distance $x=0, x=\frac{3}{4} R$ and $x=R$...

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Q JEE MAIN 2023

A 10$\mu \mathrm{C}$ charge is divided into two parts and placed at 1 cm distance so that the repulsive force...

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Q JEE MAIN 2023

In a metallic conductor, under the effect of applied electric field, the free electrons of the conductor

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Q JEE MAIN 2023

As shown in figure, a cuboid lies in a region with electric field $E=2 x^2 \hat{i}-4 y \hat{j}+6 \hat{k}$ N/C....

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Q JEE MAIN 2023

Electric potential at a point ' P ' due to a point charge of $5 \times 10^{-9} \mathrm{C}$ is 50...

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Q JEE MAIN_2023

For a charged spherical ball, electrostatic potential inside the ball varies with r as $\mathrm{V}=2 a \mathrm{r}^2+\mathrm{b}$. Here, a and...

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Q JEE MAIN_2023

A point charge of 10 μC is placed at the origin. At what location on the X-axis should a point...

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Q JEE MAIN 2023

A cubical volume is bounded by the surfaces $x=0, x=a, y=0, y=a, z=0, z=a$. The electric field in the region...

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Q JEE MAIN 2023

Considering a group of positive charges, which of the following statements is correct?

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Q JEE MAIN 2023

As shown in the figure, a point charge Q is placed at the centre of conducting spherical shell of inner...

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Q JEE MAIN_2023

A point charge 2 × $10^{-2}$ C is moved from P to S in a uniform electric field of 30...

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Q JEE MAIN 2023

The ratio of average electric energy density and total average energy density of electromagnetic wave is:

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The electric potential at the centre of two concentric half rings of radii $\mathrm{R}_1$ and $\mathrm{R}_2$, having same linear charge...

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A thin infinite sheet charge and an infinite line charge of respective charge densities $+\sigma$ and $+\lambda$ are placed parallel...

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64 identical drops each charged upto potential of 10 mV are combined to form a bigger dorp. The potential of...

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Three concentric spherical metallic shells X, Y and Z of radius a, b and c respectively [a < b <...

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Two charges each of magnitude 0.01 C and separated by a distance of 0.4 mm constitute an electric dipole. If...

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Given below are two statement: one is labelled as Assertion A and the other is labelled as Reason R. Assertion...

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As shown in the figure. a configuration of two equal point charges (q0 = +2μ C) is placed on an...

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An electric dipole of dipole moment is $6.0 \times 10^{-6} \mathrm{Cm}$ placed in a uniform electric field of $...

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Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius R, with distance r from...

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At 298 K , a 1 litre solution containing 10 mmol of $\mathrm{Cr}_2 \mathrm{O}_7^{2-}$ and 100 mmol of $\mathrm{Cr}^{3+}$ shows...

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Q JEE MAIN 2023

The electric field due to a short electric dipole at a large distance (r) from center of dipole on the...

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For a uniformly charged thin spherical shell, the electric potential (V) radially away from the center (O) of shell can...

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A uniform electric field of 10 N/C is created between two parallel charged plates (as shown in figure). An electron...

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A point charge q1 = 4q0 is placed at origin. Another point charge q2 = –q0 is placed at x...

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Two equal positive point charges are separated by a distance 2a. The distance of a point from the centre of...

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Q JEE MAIN 2024

An electric field, $\overrightarrow{\mathrm{E}}=\frac{2 \hat{\mathrm{i}}+6 \hat{\mathrm{j}}+8 \hat{\mathrm{k}}}{\sqrt{6}}$ passes through the surface of $4 \mathrm{~m}^2$ area having unit vector $\hat{n}=\left(\frac{2 \hat{i}+\hat{j}+\hat{k}}{\sqrt{6}}\right)$...

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Q JEE MAIN 2023

Expression for an electric field is given by $\overrightarrow{\mathrm{E}}=4000 \mathrm{x}^2 \hat{\mathrm{i}} \frac{\mathrm{V}}{\mathrm{m}}$. The electric flux through the cube of side...

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Let $\sigma$ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric...

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Electric field in a certain region is given by $\vec{E}=\left(\frac{A}{x^2} \hat{i}+\frac{B}{y^3} \hat{j}\right)$. The $S I$ unit of $A$ and $B$...

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Which of the following correctly represents the variation of electric potential (V) of a charged spherical conductor of radius (R)...

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In a cuboid of dimension 2L × 2L × L, a charge q is placed at the centre of the...

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Q JEE MAINS 2024

Two charges q and 3q are separated by a distance ' $r$ ' in air. At a distance $x$ from...

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Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point...

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$\sigma$ is the uniform surface charge density of a thin spherical shell of radius R. The electric field at any...

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Q JEE MAIN 2024

An infinite plane sheet of charge having uniform surface charge density $+\sigma_3 \mathrm{C} / \mathrm{m}^2$ is placed on $\mathrm{x}-\mathrm{y}$ plane....

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Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle θ with each other....

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An infinitely long positively charged straight thread has a linear charge density $\lambda \mathrm{Cm}^{-1}$. An electron revolves along a circular...

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The electrostatic potential due to an electric dipole at a distance ' r ' varies as :

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An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet s having...

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Two charges of 5Q and -2Q are situated at the points (3a,0) and (-5a,0) respectively. The electric flux through a...

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Q JEE MAIN 2025

Consider a circular loop that is uniformly charged and has a radius $a \sqrt{2}$. Find the position along the positive...

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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Two large plane parallel conducting plates are kept 10 cm apart as shown in figure. The potential difference between them...

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A thin metallic wire having cross sectional area of $10^{-4}m^2$ is used to make a ring of radius 30 cm....

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An electric charge ${10^{ - 6}}\mu {\rm{C}}$ is placed at origin (0, 0)m of X-Y co-ordinate system. Two points P...

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Q JEE MAIN 2025

A point charge causes an electric flux of $-2 \times 10^{4} \mathrm{Nm}^{2} \mathrm{C}^{-1}$ to pass through a spherical Gaussian surface...

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An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density...

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Two small spherical balls of mass 10 g each with charges $ - 2\mu {\rm{C}}$ and $2\mu {\rm{C}}$ , are...

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Two infinite identical charged sheets and a charged spherical body of charge density '$\rho$' are arranged as shown in figure....

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An electric dipole of dipole moment $6 \times 10^{-6} \mathrm{Cm}$ is placed in uniform electric field of magnitude $...

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Q JEE MAIN 2025

The electrostatic potential on the surface of uniformly charged spherical shell of radius R = 10 cm is 120 V....

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A small uncharged conducting sphere is placed in contact with an identical sphere but having $4 \times 10^{-8} \mathrm{C}$ charge...

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In the first configuration ( 1 ) as shown in the figure, four identical charges ( $q_{0}$ ) are kept...

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Two charges ${q_1}$ and ${q_2}$ are separated by a distance of 30 cm. A third charge ${q_3}$ initially at 'C'...

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Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly charged with a surface charge...

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A point charge + q is placed at the origin. A second point charge +9 q is placed at (d,...

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Q JEE MAIN 2025

A small bob of mass 100 mg and charge $ + 10\mu C$ is connected to an insulating string of...

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Two point charges $-4 \mu \mathrm{c}$ and $4 \mu \mathrm{c}$, constituting an electric dipole, are placed at $(-9,0,0) \mathrm{cm}$ and...

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Q JEE MAIN 2025

Match List - I with List - II. List - I (A) Electric field inside (distance ${\rm{r}} > 0$ from...

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An electric dipole of mass m, charge q, and length $l$ is placed in a uniform electric field $...

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A particle of mass 'm' and charge 'q' is fastened to one end 'A' of a massless string having equilibrium...

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Three infinitely long wires with linear charge density $\lambda $ are placed along the x -axis, y -axis and z-...

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A square loop of sides $a = 1\;{\rm{m}}$ is held normally in front of a point charge ${\rm{q}} = 1{\rm{C}}$....

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Consider a parallel plate capacitor of area A (of each plate) and separation 'd' between the plates. If E is...

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A point particle of charge Q is located at P along the axis of an electric dipole 1 at a...

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Two charges $7 \mu \mathrm{c}$ and $-4 \mu \mathrm{c}$ are placed at $(-7 \mathrm{~cm}, 0,0)$ and $(7 \mathrm{~cm}, 0,0)$ respectively....

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