Electrostatics

254 questions · Physics · JEE Main

Electrostatics

254 questions · Physics · JEE Main

Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly charged with a surface charge density $+ σ$ and $- 2 σ$ . The force experienced by a point charge +q placed at the mid point… Includes diagram2025 · 2 Apr · Shift 1 · Q51 · MCQ
A point charge $+ q$ is placed at the origin. A second point charge $+ 9 q$ is placed at ( $d, 0, 0$ ) in Cartesian coordinate system. The point in between them where the electric field vanishes is:2025 · 2 Apr · Shift 1 · Q61 · MCQ
A small bob of mass 100 mg and charge $+ 10 μ C$ is connected to an insulating string of length 1 m . It is brought near to an infinitely long non-conducting sheet of charge density ' $σ$ ' as shown in figure. If string… Includes diagram2025 · 2 Apr · Shift 1 · Q70 · MCQ
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Net dipole moment of a polar linear isotropic dielectric substance is not zero even in the absence of an external…2025 · 2 Apr · Shift 2 · Q53 · MCQ
Two large plane parallel conducting plates are kept 10 cm apart as shown in figure. The potential difference between them is V . The potential difference between the points A and $B$ (shown in the figure) is : Includes diagram2025 · 2 Apr · Shift 2 · Q62 · MCQ
Consider a circular loop that is uniformly charged and has a radius $a 2$ . Find the position along the positive $z$ -axis of the cartesian coordinate system where the electric field is maximum if the ring was assumed to be…2025 · 2 Apr · Shift 2 · Q66 · MCQ
The electrostatic potential on the surface of uniformly charged spherical shell of radius $R = 10 cm$ is 120 V . The potential at the centre of shell, at a distance $r = 5 cm$ from centre, and at a…2025 · 3 Apr · Shift 1 · Q68 · MCQ
Two infinite identical charged sheets and a charged spherical body of charge density ' $ρ$ ' are arranged as shown in figure. Then the correct relation between the electrical fields at $A, B, C$ and D points is: Includes diagram2025 · 4 Apr · Shift 1 · Q59 · MCQ
Two small spherical balls of mass 10 g each with charges $- 2 μ C$ and $2 μ C$ , are attached to two ends of very light rigid rod of length 20 cm . The arrangement is now placed near an infinite nonconducting charge…2025 · 4 Apr · Shift 1 · Q70 · MCQ
A metallic ring is uniformly charged as shown in figure. AC and BD are two mutually perpendicular diameters. Electric field due to arc $A B$ at ' $O$ ' is ' $E$ ' in magnitude. What would be the magnitude of electric field at ' O ' due to arc… Includes diagram2025 · 4 Apr · Shift 2 · Q54 · MCQ
If $ϵ_{0}$ denotes the permittivity of free space and $Φ_{E}$ is the flux of the electric field through the area bounded by the closed surface, then dimensions of $(ϵ_{0} \frac{d ϕ _{E}}{d t})$ are that of :2025 · 7 Apr · Shift 1 · Q51 · MCQ
Two charges $q_{1}$ and $q_{2}$ are separated by a distance of 30 cm . A third charge $q_{3}$ initially at ' C ' as shown in the figure, is moved along the circular path of radius 40 cm from C to D . If the difference in potential energy due to… Includes diagram2025 · 7 Apr · Shift 1 · Q65 · MCQ
A dipole with two electric charges of 2 µC magnitude each, with separation distance 0.5 µm, is placed between the plates of a capacitor such that its axis is parallel to an electric field established between the plates when a potential…2025 · 7 Apr · Shift 2 · Q60 · MCQ
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The outer body of an aircraft is made of metal which protects persons sitting inside from lightning strikes. Reason…2025 · 7 Apr · Shift 2 · Q61 · MCQ
The electric field in a region is given by $E = (2 \hat{i} + 4 \hat{j} + 6 \hat{k}) \times 1 0^{3} N / C$ . The flux of the field through a rectangular surface parallel to $x - z$ plane is $6.0 Nm^{2} C^{- 1}$ …2025 · 7 Apr · Shift 2 · Q72 · Numerical
Two metal spheres of radius R and 3R have same surface charge density σ. If they are brought in contact and then separated, the surface charge density on smaller and bigger sphere becomes σ1 and σ2, respectively. The ratio $\frac{σ _{1}}{σ _{2}}$ …2025 · 8 Apr · Shift 2 · Q63 · MCQ
Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A : Work done in moving a test charge between two points inside a uniformly charged spherical shell is…2025 · 8 Apr · Shift 2 · Q65 · MCQ
Electric charge is transferred to an irregular metallic disk as shown in the figure. If $σ_{1}$ , $σ_{2}$ , $σ_{3}$ and $σ_{4}$ are charge densities at given points then, choose the correct answer from the options given below: A.… Includes diagram2025 · 8 Apr · Shift 2 · Q66 · MCQ
An infinitely long wire has uniform linear charge density $λ = 2 nC/m$ . The net flux through a Gaussian cube of side length $3$ cm, if the wire passes through any two corners of the cube, that are maximally displaced…2025 · 8 Apr · Shift 2 · Q67 · MCQ
A line charge of length $\frac{a}{2}$ is kept at the center of an edge $B C$ of a cube ABCDEFGH having edge length ' $a$ ' as shown in the figure. If the density of line charge is $λ C$ per unit length, then the total… Includes diagram2025 · 22 Jan · Shift 1 · Q55 · MCQ
For a short dipole placed at origin O , the dipole moment P is along $x$ -axis, as shown in the figure. If the electric potential and electric field at $A$ are $V_{0}$ and $E_{0}$ , respectively, then the correct combination of the electric… Includes diagram2025 · 22 Jan · Shift 2 · Q63 · MCQ
A point particle of charge $Q$ is located at $P$ along the axis of an electric dipole 1 at a distance $r$ as shown in the figure. The point P is also on the equatorial plane of a second electric dipole 2 at a distance r. The dipoles are… Includes diagram2025 · 23 Jan · Shift 1 · Q52 · MCQ
The electric flux is $ϕ = α σ + β λ$ where $λ$ and $σ$ are linear and surface charge density, respectively. $(\frac{α}{β})$ represents2025 · 23 Jan · Shift 1 · Q65 · MCQ
A positive ion $A$ and a negative ion $B$ has charges $6.67 \times 1 0^{- 19} C$ and $9.6 \times 1 0^{- 10} C$ , and masses $19.2 \times 1 0^{- 27} kg$ and $9 \times 1 0^{- 27} kg$ respectively. At an instant,…2025 · 23 Jan · Shift 1 · Q74 · Numerical
Two point charges $- 4 μ c$ and $4 μ c$ , constituting an electric dipole, are placed at $(- 9, 0, 0) cm$ and $(9, 0, 0) cm$ in a uniform electric field of strength $1 0^{4} NC^{- 1}$ . The work done on…2025 · 23 Jan · Shift 2 · Q60 · MCQ
Two charges $7 μ c$ and $- 4 μ c$ are placed at $(- 7 cm, 0, 0)$ and $(7 cm, 0, 0)$ respectively. Given, $ϵ_{0} = 8.85 \times 1 0^{- 12} C^{2} N^{- 1} m^{- 2}$ , the…2025 · 23 Jan · Shift 2 · Q64 · MCQ
Consider a parallel plate capacitor of area A (of each plate) and separation ' $d$ ' between the plates. If $E$ is the electric field and $ε_{0}$ is the permittivity of free space between the plates, then potential energy stored in…2025 · 24 Jan · Shift 1 · Q60 · MCQ
A square loop of sides $a = 1 m$ is held normally in front of a point charge $q = 1 C$ at a distance $\frac{a}{2}$ . The flux of the electric field through the shaded region is $\frac{5}{p} \times \frac{1}{ε _{0}} \frac{Nm ^{2}}{C}$ … Includes diagram2025 · 24 Jan · Shift 1 · Q75 · Numerical
A small uncharged conducting sphere is placed in contact with an identical sphere but having $4 \times 1 0^{- 8} C$ charge and then removed to a distance such that the force of repulsion between them is $9 \times 10^{-3}…2025 · 24 Jan · Shift 2 · Q58 · MCQ
In the first configuration (1) as shown in the figure, four identical charges $(q_{0})$ are kept at the corners A, B, C and D of square of side length ' $a$ '. In the second configuration (2), the same charges are shifted to mid… Includes diagram2025 · 24 Jan · Shift 2 · Q69 · MCQ
Three infinitely long wires with linear charge density $λ$ are placed along the $x - a x i s, y - a x i s$ and $z -$ axis respectively. Which of the following denotes an equipotential surface?2025 · 28 Jan · Shift 1 · Q62 · MCQ
A particle of mass ' $m$ ' and charge ' $q$ ' is fastened to one end ' $A$ ' of a massless string having equilibrium length $l$ , whose other end is fixed at point ' $O$ '. The whole system is placed on a frictionless horizontal plane and is… Includes diagram2025 · 28 Jan · Shift 1 · Q65 · MCQ
An electric dipole of dipole moment $6 \times 1 0^{- 6} Cm$ is placed in uniform electric field of magnitude $1 0^{6} V / m$ . Initially, the dipole moment is parallel to electric field. The work that needs to be…2025 · 28 Jan · Shift 2 · Q73 · Numerical
An electric dipole of mass $m$ , charge $q$ , and length $l$ is placed in a uniform electric field $E = E_{0} \hat{i}$ . When the dipole is rotated slightly from its equilibrium position and released, the time period of its oscillations…2025 · 29 Jan · Shift 1 · Q59 · MCQ
Match List - I with List - II. Choose the correct answer from the options given below : Includes table2025 · 29 Jan · Shift 1 · Q74 · MCQ
A point charge causes an electric flux of $- 2 \times 1 0^{4} Nm^{2} C^{- 1}$ to pass through a spherical Gaussian surface of 8.0 cm radius, centred on the charge. The value of the point charge is : (Given $ϵ_{0} = 8.85 \times 1 0^{- 12} C^{2} N^{- 1} m^{- 2}$ …2025 · 29 Jan · Shift 2 · Q67 · MCQ
An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density $σ_{o}$ . Choose the correct option from the following. Includes diagram2025 · 29 Jan · Shift 2 · Q69 · MCQ
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle $θ$ with each other. When suspended in water the angle remains the same. If density of the material of the sphere is $1.5 g / cc$ …2024 · 1 Feb · Shift 1 · Q83 · Numerical
$C_{1}$ and $C_{2}$ are two hollow concentric cubes enclosing charges $2 Q$ and $3 Q$ respectively as shown in figure. The ratio of electric flux passing through $C_{1}$ and $C_{2}$ is : Includes diagram2024 · 1 Feb · Shift 2 · Q64 · MCQ
Suppose a uniformly charged wall provides a uniform electric field of $2 \times 1 0^{4} N / C$ normally. A charged particle of mass $2 g$ being suspended through a silk thread of length $20 cm$ and…2024 · 1 Feb · Shift 2 · Q84 · Numerical
An infinitely long positively charged straight thread has a linear charge density $λ Cm^{- 1}$ . An electron revolves along a circular path having axis along the length of the wire. The graph that correctly represents the…2024 · 4 Apr · Shift 1 · Q61 · MCQ
An infinite plane sheet of charge having uniform surface charge density $+ σ_{s} C / m^{2}$ is placed on $x$ - $y$ plane. Another infinitely long line charge having uniform linear charge density $+ λ_{e} C / m$ …2024 · 4 Apr · Shift 1 · Q82 · Numerical
A charge $q$ is placed at the center of one of the surface of a cube. The flux linked with the cube is:2024 · 4 Apr · Shift 2 · Q75 · MCQ
In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the order of :2024 · 5 Apr · Shift 1 · Q65 · MCQ
The vehicles carrying inflammable fluids usually have metallic chains touching the ground:2024 · 5 Apr · Shift 2 · Q77 · MCQ
The electric field at point $p$ due to an electric dipole is $E$ . The electric field at point $R$ on equitorial line will be $\frac{E}{x}$ . The value of $x$ : Includes diagram2024 · 5 Apr · Shift 2 · Q81 · Numerical
$σ$ is the uniform surface charge density of a thin spherical shell of radius R. The electric field at any point on the surface of the spherical shell is :2024 · 6 Apr · Shift 1 · Q75 · MCQ
Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point $P$ is $\frac{x σ}{ϵ _{0}}$ . The value of $x$ is (all quantities are measured in SI… Includes diagram2024 · 6 Apr · Shift 1 · Q84 · Numerical
Two identical conducting spheres P and S with charge Q on each, repel each other with a force $16 N$ . A third identical uncharged conducting sphere $R$ is successively brought in contact with the two spheres. The new…2024 · 6 Apr · Shift 2 · Q72 · MCQ
Two charged conducting spheres of radii $a$ and $b$ are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is:2024 · 8 Apr · Shift 1 · Q62 · MCQ
An electric field, $E = \frac{2 i ^ + 6 j ^ + 8 k ^}{6}$ passes through the surface of $4 m^{2}$ area having unit vector $\overset{n}{^} = (\frac{2 i ^ + j ^ + k ^}{6})$ .…2024 · 8 Apr · Shift 1 · Q82 · Numerical
If the net electric field at point $P$ along $Y$ axis is zero, then the ratio of $\frac{q _{2}}{q _{3}}$ is $\frac{8}{5 x}$ , where $x =$ . Includes diagram2024 · 8 Apr · Shift 2 · Q82 · Numerical
At the centre of a half ring of radius $R = 10 cm$ and linear charge density $4 nC m^{- 1}$ , the potential is $x π V$ . The value of $x$ is .2024 · 9 Apr · Shift 1 · Q82 · Numerical
Five charges $+ q, + 5 q, - 2 q, + 3 q$ and $- 4 q$ are situated as shown in the figure. The electric flux due to this configuration through the surface $S$ is : Includes diagram2024 · 9 Apr · Shift 2 · Q68 · MCQ
An electric field $E = (2 x \hat{i}) N C^{- 1}$ exists in space. A cube of side $2 m$ is placed in the space as per figure given below. The electric flux through the cube is $Nm^{2} / C$ … Includes diagram2024 · 9 Apr · Shift 2 · Q82 · Numerical
An electric charge $1 0^{- 6} μ C$ is placed at origin $(0, 0) m$ of $X - Y$ co-ordinate system. Two points $P$ and $Q$ are situated at $(3, 3) m$ and $(6, 0) m$ …2024 · 27 Jan · Shift 1 · Q73 · MCQ
A thin metallic wire having cross sectional area of $1 0^{- 4} m^{2}$ is used to make a ring of radius $30 cm$ . A positive charge of $2 π C$ is uniformly distributed over the ring, while another positive charge…2024 · 27 Jan · Shift 1 · Q82 · Numerical
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Work done by electric field on moving a positive charge on an equipotential surface is always zero. Reason (R) :…2024 · 27 Jan · Shift 2 · Q74 · MCQ
Two charges of $- 4 μ C$ and $+ 4 μ C$ are placed at the points $A (1, 0, 4) m$ and $B (2, - 1, 5) m$ located in an electric field $E = 0.20 \hat{i} V / cm$ …2024 · 27 Jan · Shift 2 · Q83 · Numerical
The electric potential at the surface of an atomic nucleus $(z = 50)$ of radius $9 \times 1 0^{- 13} cm$ is $\times 1 0^{6} V$ .2024 · 27 Jan · Shift 2 · Q86 · Numerical
Two charges of $5 Q$ and $- 2 Q$ are situated at the points $(3 a, 0)$ and $(- 5 a, 0)$ respectively. The electric flux through a sphere of radius ' $4 a$ ' having center at origin is :2024 · 29 Jan · Shift 1 · Q69 · MCQ
An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet $S$ having surface charge density $+ σ$ . The electron at $t = 0$ is at a distance of $1 m$ from $S$ and has a…2024 · 29 Jan · Shift 1 · Q83 · Numerical
An electric field is given by $(6 \hat{i} + 5 \hat{j} + 3 \hat{k}) N / C$ . The electric flux through a surface area $30 \hat{i} m^{2}$ lying in YZ-plane (in SI unit) is :2024 · 29 Jan · Shift 2 · Q67 · MCQ
The electrostatic potential due to an electric dipole at a distance ' $r$ ' varies as :2024 · 30 Jan · Shift 1 · Q67 · MCQ
A particle of charge ' $- q$ ' and mass ' $m$ ' moves in a circle of radius ' $r$ ' around an infinitely long line charge of linear charge density ' $+ λ$ '. Then time period will be given as : (Consider $k$ as Coulomb's constant)2024 · 30 Jan · Shift 2 · Q75 · MCQ
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of $3 7^{\circ}$ with each other. When suspended in a liquid of density $0.7 g / cm^{3}$ , the angle remains same. If density…2024 · 30 Jan · Shift 2 · Q87 · Numerical
Two charges $q$ and $3 q$ are separated by a distance ' $r$ ' in air. At a distance $x$ from charge $q$ , the resultant electric field is zero. The value of $x$ is :2024 · 31 Jan · Shift 1 · Q62 · MCQ
Force between two point charges $q_{1}$ and $q_{2}$ placed in vacuum at ' $r$ ' cm apart is $F$ . Force between them when placed in a medium having dielectric constant $K = 5$ at ' $r /5$ ' $cm$ apart will be:2024 · 31 Jan · Shift 2 · Q76 · MCQ
The distance between charges $+ q$ and $- q$ is $2 l$ and between $+ 2 q$ and $- 2 q$ is $4 l$ . The electrostatic potential at point $P$ at a distance $r$ from center $O$ is $- α [\frac{q l}{r ^{2}}] \times 1 0^{9} V$ ,… Includes diagram2024 · 31 Jan · Shift 2 · Q88 · Numerical
Let $σ$ 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: Includes diagram2023 · 1 Feb · Shift 1 · Q44 · MCQ
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 $q_{0}$ …2023 · 1 Feb · Shift 1 · Q63 · Numerical
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 is given by $E = E_{0} x \hat{i}$ . Where $E_{0} = 4 \times 1 0^{4} NC^{- 1} m^{- 1}$ …2023 · 1 Feb · Shift 2 · Q74 · Numerical
For a uniformly charged thin spherical shell, the electric potential (V) radially away from the centre (O) of shell can be graphically represented as - Includes diagram2023 · 6 Apr · Shift 1 · Q61 · MCQ
A dipole comprises of two charged particles of identical magnitude $q$ and opposite in nature. The mass 'm' of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance…2023 · 6 Apr · Shift 2 · Q57 · MCQ
Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius $R$ , with distance $r$ from the centre O is represented by: Includes diagram2023 · 8 Apr · Shift 1 · Q53 · MCQ
An electric dipole of dipole moment is $6.0 \times 1 0^{- 6} Cm$ placed in a uniform electric field of $1.5 \times 1 0^{3} NC^{- 1}$ in such a way that dipole moment is along electric field. The work done in rotating…2023 · 8 Apr · Shift 1 · Q71 · Numerical
Electric potential at a point ' $P$ ' due to a point charge of $5 \times 1 0^{- 9} C$ is $50 V$ . The distance of ' $P$ ' from the point charge is: (Assume, $\frac{1}{4 π ε _{0}} = 9 \times 1 0^{+ 9} Nm^{2} C^{- 2}$ …2023 · 8 Apr · Shift 2 · Q52 · MCQ
Three concentric spherical metallic shells X, Y and Z of radius a, b and c respectively [a < b < c] have surface charge densities $σ, - σ$ and $σ$ respectively. The shells X and Z are at same potential. If the radii of X…2023 · 10 Apr · Shift 1 · Q71 · Numerical
In a metallic conductor, under the effect of applied electric field, the free electrons of the conductor2023 · 10 Apr · Shift 2 · Q42 · MCQ
An electron revolves around an infinite cylindrical wire having uniform linear charge density $2 \times 1 0^{- 8} C m^{- 1}$ in circular path under the influence of attractive electrostatic field as shown in the figure. The… Includes diagram2023 · 10 Apr · Shift 2 · Q62 · Numerical
As shown in the figure, a configuration of two equal point charges $(q_{0} = + 2 μ C)$ is placed on an inclined plane. Mass of each point charge is $20 g$ . Assume that there is no friction between charge and… Includes diagram2023 · 11 Apr · Shift 1 · Q68 · Numerical
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 $30 \times 1 0^{- 5} C m$ is enclosed by a closed surface, the net…2023 · 12 Apr · Shift 1 · Q53 · MCQ
64 identical drops each charged upto potential of $10 mV$ are combined to form a bigger drop. The potential of the bigger drop will be $mV$ .2023 · 12 Apr · Shift 1 · Q61 · Numerical
Two charges each of magnitude $0.01 C$ and separated by a distance of $0.4 mm$ constitute an electric dipole. If the dipole is placed in an uniform electric field ' $E$ ' of 10 dyne/C making $3 0^{\circ}$ angle with $E$ …2023 · 13 Apr · Shift 1 · Q53 · MCQ
A thin infinite sheet charge and an infinite line charge of respective charge densities $+ σ$ and $+ λ$ are placed parallel at $5 m$ distance from each other. Points 'P' and 'Q' are at $\frac{3}{π}$ m and $\frac{4}{π}$ …2023 · 13 Apr · Shift 1 · Q70 · Numerical
A $10 μ C$ charge is divided into two parts and placed at $1 cm$ distance so that the repulsive force between them is maximum. The charges of the two parts are:2023 · 13 Apr · Shift 2 · Q56 · MCQ
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 $x = R$ respectively from origin as shown. If $q = 2 \times 1 0^{- 6} C$ and $R = 2 cm$ … Includes diagram2023 · 13 Apr · Shift 2 · Q62 · Numerical
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 :2023 · 15 Apr · Shift 1 · Q47 · MCQ
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?2023 · 24 Jan · Shift 1 · Q53 · MCQ
A stream of a positively charged particles having $\frac{q}{m} = 2 \times 1 0^{11} \frac{C}{k g}$ and velocity $v_{0} = 3 \times 1 0^{7} i m / s$ is deflected by an electric field $1.8 j$ kV/m. The…2023 · 24 Jan · Shift 1 · Q69 · Numerical
The electric potential at the centre of two concentric half rings of radii R $_{1}$ and R $_{2}$ , having same linear charge density $λ$ is : Includes diagram2023 · 24 Jan · Shift 2 · Q58 · MCQ
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… Includes diagram2023 · 25 Jan · Shift 1 · Q72 · Numerical
A point charge of 10 $μ$ C is placed at the origin. At what location on the X-axis should a point charge of 40 $μ$ C be placed so that the net electric field is zero at $x = 2$ cm on the X-axis?2023 · 25 Jan · Shift 2 · Q57 · MCQ
In a cuboid of dimension $2 L \times 2 L \times L$ , a charge $q$ is placed at the center of the surface ' $S$ ' having area of $4 L^{2}$ . The flux through the opposite surface to…2023 · 29 Jan · Shift 1 · Q51 · MCQ
A point charge $q_{1} = 4 q_{0}$ 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 situation,…2023 · 29 Jan · Shift 1 · Q69 · Numerical
A point charge $2 \times 1 0^{- 2} C$ is moved from P to S in a uniform electric field of $30 N C^{- 1}$ 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 by…2023 · 29 Jan · Shift 2 · Q61 · MCQ
For a charged spherical ball, electrostatic potential inside the ball varies with $r$ as $V = 2 a r^{2} + b$ . Here, $a$ and $b$ are constant and r is the distance from the center. The volume charge density inside the ball is $- λa ε$ …2023 · 29 Jan · Shift 2 · Q69 · Numerical
Electric field in a certain region is given by $E = (\frac{A}{x ^{2}} \hat{i} + \frac{B}{y ^{3}} \hat{j}) . The SI unit of A and B$ …2023 · 30 Jan · Shift 1 · Q49 · MCQ
Two isolated metallic solid spheres of radii $R$ and $2 R$ are charged such that both have same charge density $σ$ . The spheres are then connected by a thin conducting wire. If the new charge density of the bigger…2023 · 30 Jan · Shift 1 · Q50 · MCQ
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 $Q$ in three different regions $I, II$ … Includes diagram2023 · 30 Jan · Shift 2 · Q56 · MCQ
As shown in figure, a cuboid lies in a region with electric field $E = 2 x^{2} \hat{i} - 4 y \hat{j} + 6 \hat{k} N / C$ . The magnitude of charge within the cuboid is $n \in_{0} C$ . The value of $n$ is… Includes diagram2023 · 30 Jan · Shift 2 · Q69 · Numerical
Which of the following correctly represents the variation of electric potential $(V)$ of a charged spherical conductor of radius $(R)$ with radial distance $(r)$ from the center?2023 · 31 Jan · Shift 1 · Q52 · MCQ
Expression for an electric field is given by $E = 4000 x^{2} \hat{i} \frac{V}{m}$ . The electric flux through the cube of side $20 cm$ when placed in electric field (as shown in the… Includes diagram2023 · 31 Jan · Shift 1 · Q70 · Numerical
Considering a group of positive charges, which of the following statements is correct ?2023 · 31 Jan · Shift 2 · Q53 · MCQ
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. The value of charge on the droplet will be : (Given : g = 9.8 m/s2)2022 · 24 Jun · Shift 1 · Q51 · MCQ
Two identical charged particles each having a mass 10 g and charge 2.0 $\times$ 10 $-$ 7C are placed on a horizontal table with a separation of L between them such that they stay in limited equilibrium. If the coefficient of friction…2022 · 24 Jun · Shift 2 · Q49 · MCQ
A long cylindrical volume contains a uniformly distributed charge of density $ρ$ . The radius of cylindrical volume is R. A charge particle (q) revolves around the cylinder in a circular path. The kinetic energy of the particle is :2022 · 24 Jun · Shift 2 · Q60 · MCQ
The volume charge density of a sphere of radius $6 m$ is $2 μ C cm^{- 3}$ . The number of lines of force per unit surface area coming out from the surface of the sphere is $\times 1 0^{10} NC^{- 1}$ …2022 · 25 Jul · Shift 1 · Q65 · Numerical
In the figure, a very large plane sheet of positive charge is shown. P1 and P2 are two points at distance l and 2l from the charge distribution. If $σ$ is the surface charge density, then the magnitude of electric fields E1 and E2 at… Includes diagram2022 · 25 Jun · Shift 1 · Q51 · MCQ
27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be V.2022 · 25 Jun · Shift 2 · Q70 · Numerical
Two uniformly charged spherical conductors $A$ and $B$ of radii $5 mm$ and $10 mm$ are separated by a distance of $2 cm$ . If the spheres are connected by a conducting wire, then in equilibrium condition, the…2022 · 26 Jul · Shift 2 · Q44 · MCQ
Three point charges of magnitude $5 μ C, 0.16 μ C$ and $0.3 μ C$ are located at the vertices $A, B, C$ of a right angled triangle whose sides are $A B = 3 cm, B C = 32 cm$ and $C A = 3 cm$ …2022 · 26 Jul · Shift 2 · Q63 · Numerical
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…2022 · 26 Jun · Shift 1 · Q51 · MCQ
Sixty four conducting drops each of radius 0.02 m and each carrying a charge of 5 $μ$ C are combined to form a bigger drop. The ratio of surface density of bigger drop to the smaller drop will be :2022 · 26 Jun · Shift 2 · Q56 · MCQ
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 the…2022 · 27 Jul · Shift 1 · Q56 · MCQ
A long cylindrical volume contains a uniformly distributed charge of density $ρ Cm^{- 3}$ . The electric field inside the cylindrical volume at a distance $x = \frac{2 ε _{0}}{ρ} m$ from its axis is … Includes diagram2022 · 27 Jul · Shift 1 · Q68 · Numerical
A charge of $4 μ C$ 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 :2022 · 27 Jul · Shift 2 · Q49 · MCQ
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 : Includes diagram2022 · 27 Jun · Shift 2 · Q55 · MCQ
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… Includes diagram2022 · 27 Jun · Shift 2 · Q56 · MCQ
Two electric dipoles of dipole moments $1.2 \times 1 0^{- 30} Cm$ and $2.4 \times 1 0^{- 30} Cm$ are placed in two different uniform electric fields of strengths $5 \times 1 0^{4} NC^{- 1}$ and $15 \times 1 0^{4} NC^{- 1}$ …2022 · 28 Jul · Shift 1 · Q67 · Numerical
A uniform electric field $E = (8 m / e) V / m$ is created between two parallel plates of length $1 m$ as shown in figure, (where $m =$ mass of electron and e = charge of… Includes diagram2022 · 28 Jul · Shift 2 · Q49 · MCQ
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…2022 · 28 Jun · Shift 1 · Q50 · MCQ
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 : Includes diagram2022 · 28 Jun · Shift 1 · Q51 · MCQ
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…2022 · 28 Jun · Shift 2 · Q59 · MCQ
A spherically symmetric charge distribution is considered with charge density varying as $ρ (r) = {ρ_{0} (\frac{3}{4} - \frac{r}{R}) zero for r \leq R for r > R$ … Includes diagram2022 · 29 Jul · Shift 1 · Q57 · MCQ
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…2022 · 29 Jul · Shift 1 · Q58 · MCQ
Two identical metallic spheres $A$ and $B$ when placed at certain distance in air repel each other with a force of $F$ . Another identical uncharged sphere $C$ is first placed in contact with $A$ …2022 · 29 Jul · Shift 2 · Q44 · MCQ
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 $μ$ C and the initial velocity is 200 ms $-$ 1, how much distance…2022 · 29 Jun · Shift 1 · Q57 · MCQ
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 :2022 · 29 Jun · Shift 2 · Q46 · MCQ
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 :2022 · 29 Jun · Shift 2 · Q59 · MCQ
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…2022 · 30 Jun · Shift 1 · Q63 · Numerical
A cube is placed inside an electric field, $E = 150 y^{2} j$ . The side of the cube is 0.5 m and is placed in the field as shown in the given figure. The charge inside the cube is : Includes diagram2021 · 1 Sep · Shift 2 · Q47 · MCQ
Find out the surface charge density at the intersection of point x = 3 m plane and x-axis, in the region of uniform line charge of 8 nC/m lying along the z-axis in free space.2021 · 16 Mar · Shift 2 · Q58 · MCQ
The electric field in a region is given by $E = \frac{2}{5} E_{0} i + \frac{3}{5} E_{0} j$ with $E_{0} = 4.0 \times 1 0^{3} \frac{N}{C}$ . The flux of this field through a rectangular surface area 0.4 m2…2021 · 17 Mar · Shift 2 · Q65 · Numerical
An oil drop of radius 2 mm with a density 3g cm $-$ 3 is held stationary under a constant electric field 3.55 $\times$ 105 V m $-$ 1 in the Millikan's oil drop experiment. What is the number of excess electrons that the oil drop will…2021 · 18 Mar · Shift 1 · Q47 · MCQ
An infinite number of point charges, each carrying 1 $μ$ C charge, are placed along the y-axis at y = 1 m, 2 m, 4 m, 8 m ............... The total force on a 1C point charge, placed at the origin, is x $\times$ 103 N. The value of x, to…2021 · 18 Mar · Shift 2 · Q68 · Numerical
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 (Q $-$ q) placed at a certain distance apart experience maximum electrostatic repulsion?2021 · 20 Jul · Shift 1 · Q52 · MCQ
A body having specific charge 8 $μ$ C/g is resting on a frictionless plane at a distance 10 cm from the wall (as shown in the figure). It starts moving towards the wall when a uniform electric field of 100 V/m is applied horizontally… Includes diagram2021 · 20 Jul · Shift 1 · Q64 · Numerical
An electric dipole is placed on x-axis in proximity to a line charge of linear charge density 3.0 $\times$ 10 $-$ 6 C/m. Line charge is placed on z-axis and positive and negative charge of dipole is at a distance of 10 mm and 12 mm from…2021 · 22 Jul · Shift 2 · Q54 · MCQ
The total charge enclosed in an incremental volume of 2 $\times$ 10 $-$ 9 m3 located at the origin is nC, if electric flux density of its field is found as D = e $-$ x sin y $i -$ e $-$ x cos y $j$ …2021 · 22 Jul · Shift 2 · Q69 · Numerical
A cube of side 'a' has point charges +Q located at each of its vertices except at the origin where the charge is $-$ Q. The electric field at the centre of cube is : Includes diagram2021 · 24 Feb · Shift 1 · Q45 · MCQ
Two electrons each are fixed at a distance '2d'. A third charge proton placed at the midpoint is displaced slightly by a distance x (x << d) perpendicular to the line joining the two fixed charges. Proton will execute simple harmonic…2021 · 24 Feb · Shift 2 · Q54 · MCQ
A point charge of +12 $μ$ C is at a distance 6 cm vertically above the centre of a square of side 12 cm as shown in figure. The magnitude of the electric flux through the square will be $\times$ 103 Nm2/C. Includes diagram2021 · 24 Feb · Shift 2 · Q67 · Numerical
The electric field in a region is given by $E = (\frac{3}{5} E_{0} i + \frac{4}{5} E_{0} j) \frac{N}{C}$ . The ratio of flux of reported field through the rectangular surface of area 0.2 m2…2021 · 25 Feb · Shift 1 · Q69 · Numerical
512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The potential of this drop is V.2021 · 25 Feb · Shift 1 · Q71 · Numerical
A charge 'q' is placed at one corner of a cube as shown in figure. The flux of electrostatic field $E$ through the shaded area is : Includes diagram2021 · 25 Feb · Shift 2 · Q57 · MCQ
Two identical conducting spheres with negligible volume have 2.1 nC and $-$ 0.1 nC charges, respectively. They are brought into contact and then separated by a distance of 0.5 m. The electrostatic force acting between the spheres is $\times$ …2021 · 25 Feb · Shift 2 · Q72 · Numerical
Two small spheres each of mass 10 mg are suspended from a point by threads 0.5 m long. They are equally charged and repel each other to a distance of 0.20 m. The charge on each of the sphere is $\frac{a}{21} \times 1 0^{- 8}$ C. The…2021 · 25 Feb · Shift 2 · Q74 · Numerical
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 each is carrying same charge 'q'. If the free charged particle is displaced from its equilibrium position through…2021 · 25 Jul · Shift 1 · Q68 · Numerical
Two ideal electric dipoles A and B, having their dipole moment p1 and p2 respectively are placed on a plane with their centres at O as shown in the figure. At point C on the axis of dipole A, the resultant electric field is making an angle… Includes diagram2021 · 25 Jul · Shift 2 · Q56 · MCQ
A solid metal sphere of radius R having charge q is enclosed inside the concentric spherical shell of inner radius a and outer radius b as shown in the figure. The approximate variation electric field $E$ as a function of… Includes diagram2021 · 26 Aug · Shift 1 · Q55 · MCQ
The two thin coaxial rings, each of radius 'a' and having charges +Q and $-$ Q respectively are separated by a distance of 's'. The potential difference between the centres of the two rings is :2021 · 26 Aug · Shift 2 · Q52 · MCQ
Find the electric field at point P (as shown in figure) on the perpendicular bisector of a uniformly charged thin wire of length L carrying a charge Q. The distance of the point P from the centre of the rod is a = $\frac{3}{2} L$ . Includes diagram2021 · 26 Feb · Shift 1 · Q56 · MCQ
Given below are two statements: Statement I : An electric dipole is placed at the center of a hollow sphere. The flux of the electric field through the sphere is zero but the electric field is not zero anywhere in the sphere. Statement II…2021 · 26 Feb · Shift 2 · Q52 · MCQ
An inclined plane making an angle of 30 $^{\circ}$ with the horizontal is placed in a uniform horizontal electric field $200 \frac{N}{C}$ as shown in the figure. A body of mass 1 kg and charge 5 mC is allowed to slide down from rest at a… Includes diagram2021 · 26 Feb · Shift 2 · Q61 · MCQ
27 similar drops of mercury are maintained at 10V each. All these spherical drops combine into a single big drop. The potential energy of the bigger drop is times that of a smaller drop.2021 · 26 Feb · Shift 2 · Q72 · Numerical
A uniformly charged disc of radius R having surface charge density $σ$ is placed in the xy plane with its center at the origin. Find the electric field intensity along the z-axis at a distance Z from origin :-2021 · 27 Aug · Shift 1 · Q41 · MCQ
Figure shows a rod AB, which is bent in a 120 $^{\circ}$ circular arc of radius R. A charge ( $-$ Q) is uniformly distributed over rod AB. What is the electric field $E$ at the centre of curvature O ? Includes diagram2021 · 27 Aug · Shift 2 · Q58 · MCQ
Two identical tennis balls each having mass 'm' and charge 'q' are suspended from a fixed point by threads of length 'l'. What is the equilibrium separation when each thread makes a small angle ' $θ$ ' with the vertical?2021 · 27 Jul · Shift 1 · Q64 · MCQ
What will be the magnitude of electric field at point O as shown in the figure? Each side of the figure is l and perpendicular to each other? Includes diagram2021 · 27 Jul · Shift 2 · Q57 · MCQ
Two particles A and B having charges 20 $μ$ C and $-$ 5 $μ$ C respectively are held fixed with a separation of 5 cm. At what position a third charged particle should be placed so that it does not experience a net electric force? Includes diagram2021 · 31 Aug · Shift 1 · Q48 · MCQ
Choose the incorrect statement : (1) The electric lines of force entering into a Gaussian surface provide negative flux. (2) A charge 'q' is placed at the centre of a cube. The flux through all the faces will be the same. (3) In a uniform…2021 · 31 Aug · Shift 2 · Q56 · MCQ
A charged particle (mass m and charge q) moves along X-axis with velocity V0. When it passes through the origin it enters a region having uniform electric field $E = - E j$ which extends upto x = d. Equation of path… Includes diagram2020 · 2 Sep · Shift 1 · Q54 · MCQ
A charge Q is distributed over two concentric conducting thin spherical shells radii r and R (R > r). If the surface charge densities on the two shells are equal, the electric potential at the common centre is : Includes diagram2020 · 2 Sep · Shift 2 · Q45 · MCQ
A small point mass carrying some positive charge on it, is released from the edge of a table. There is a uniform electric field in this region in the horizontal direction. Which of the following options then correctly describe the… Includes diagram2020 · 2 Sep · Shift 2 · Q47 · MCQ
Two isolated conducting spheres S1 and S2 of radius $\frac{2}{3} R$ and $\frac{1}{3} R$ have 12 $μ$ C and –3 $μ$ C charges, respectively, and are at a large distance from each other. They are now connected by a conducting wire. A long…2020 · 3 Sep · Shift 1 · Q42 · MCQ
Concentric metallic hollow spheres of radii R and 4R hold charges Q1 and Q2 respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference V(R) – V(4R) is :2020 · 3 Sep · Shift 2 · Q50 · MCQ
A two point charges 4q and -q are fixed on the x-axis at x = $- \frac{d}{2}$ and x = $\frac{d}{2}$ respectively. If a third point charge 'q' is taken from the origin to x = d along the semicircle as shown in the figure, the energy of the… Includes diagram2020 · 4 Sep · Shift 1 · Q49 · MCQ
Two charged thin infinite plane sheets of uniform surface charge density $σ_{+}$ and $σ_{-}$ , where | $σ_{+}$ | > | $σ_{-}$ |, intersect at right angle. Which of the following best represents the electric…2020 · 4 Sep · Shift 1 · Q59 · MCQ
A particle of charge q and mass m is subjected to an electric field E = E0 (1 – $a$ x2) in the x-direction, where $a$ and E0 are constants. Initially the particle was at rest at x = 0. Other than the initial position the kinetic energy of…2020 · 4 Sep · Shift 2 · Q60 · MCQ
A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume. A very small point like piece of it of mass m gets detached from the bottom of the sphere and falls down vertically under gravity. This piece carries… Includes diagram2020 · 5 Sep · Shift 1 · Q62 · MCQ
Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges. Alternate charges 1, 3, 5, 7, 9 have charge (+q) each, while 2, 4, 6, 8, 10 have charge (–q) each. The…2020 · 5 Sep · Shift 2 · Q50 · MCQ
Charges Q1 and Q2 are at points A and B of a right angle triangle OAB (see figure). The resultant electric field at point O is perpendicular to the hypotenuse, then $\frac{Q _{1}}{Q _{2}}$ is proportional to : Includes diagram2020 · 6 Sep · Shift 1 · Q48 · MCQ
Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying charge Q distributed uniformly over it. Which one of the following statements is true for F, if 'q' is placed at distance r from the…2020 · 6 Sep · Shift 2 · Q55 · MCQ
Two identical electric point dipoles have dipole moments $p_{1} = p i$ and $p_{2} = - p i$ and are held on the x axis at distance ' $a$ ' from each other. When released, they move along the…2020 · 6 Sep · Shift 2 · Q58 · MCQ
Two infinite planes each with uniform surface charge density to are kept in such a way that the angle between them is 30o. The electric field in the region shown between them is given by : Includes diagram2020 · 7 Jan · Shift 1 · Q56 · MCQ
In finding the electric field using Gauss Law the formula $E = \frac{q _{e n c}}{ε _{0} ∣ A ∣}$ is applicable. In the formula $ε_{0}$ is permittivity of free space, A…2020 · 8 Jan · Shift 1 · Q40 · MCQ
Three charged particle A, B and C with charges –4q, 2q and –2q are present on the circumference of a circle of radius d. the charged particles A, C and centre O of the circle formed an equilateral triangle as shown in figure. Electric… Includes diagram2020 · 8 Jan · Shift 1 · Q47 · MCQ
Consider two charged metallic spheres S1 and S2 of radii R1 and R2, respectively. The electric fields E1 (on S1) and E2 (on S2) on their surfaces are such that E1/E2 = R1/R2. Then the ratio V1 (on S1) / V2 (on S2) of the electrostatic…2020 · 8 Jan · Shift 2 · Q40 · MCQ
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 particle, the dependence of its speed v on the distance x travelled by it is correctly given by (graphs are schematic…2020 · 8 Jan · Shift 2 · Q51 · MCQ
An electric dipole of moment $p = (- i - 3 j + 2 k) \times 1 0^{- 29}$ C.m is at the origin (0, 0, 0). The electric field due to this dipole at $r = + i + 3 j + 5 k$ …2020 · 9 Jan · Shift 1 · Q50 · MCQ
Consider a sphere of radius R which carries a uniform charge density $ρ$ . If a sphere of radius $\frac{R}{2}$ is carved out of it, as shown, the ratio $\frac{E _{A}}{E _{B}}$ … Includes diagram2020 · 9 Jan · Shift 1 · Q61 · MCQ
An electric field $E = 4 x i - (y^{2} + 1) j$ N/C passes through the box shown in figure. The flux of the electric field through surfaces ABCD and BCGF are marked as $ϕ_{I}$ and $ϕ_{I I}$ … Includes diagram2020 · 9 Jan · Shift 2 · Q42 · Numerical
A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If…2019 · 8 Apr · Shift 1 · Q56 · MCQ
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 intensity 2000 V/m. At equilibrium, the angle that the pendulum makes with the vertical is : (take g = 10 m/s2)2019 · 8 Apr · Shift 1 · Q68 · MCQ
The electric field in a region is given by $E \to = (A x + B) i \land$ , where E is in NC–1 and x is in metres. The values of constants are A = 20 SI unit and B = 10 SI unit. If the potential…2019 · 8 Apr · Shift 2 · Q64 · MCQ
A positive point charge is released from rest at a distance r0 from a positive line charge with uniform density. The speed (v) of the point charge, as a function of instantaneous distance r from line charge, is proportional to :- Includes diagram2019 · 8 Apr · Shift 2 · Q65 · MCQ
A system of three charges are placed as shown in the figure : If D >> d, the potential energy of the system is best given by : Includes diagram2019 · 9 Apr · Shift 1 · Q65 · MCQ
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 magnitude of the electric field E at a point on the x-axis at x = D, with D >> d, will behave as :-2019 · 9 Apr · Shift 2 · Q54 · MCQ
For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a distance h from its center. Then value of h is :2019 · 9 Jan · Shift 1 · Q62 · MCQ
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 force experienced by + Q, placed at x = 0, is zero, then value of q is :2019 · 9 Jan · Shift 1 · Q68 · MCQ
Charge is distributed within a sphere of radius R with a volume charge density $ρ (r) = \frac{A}{r ^{2}} e^{- \frac{2 r}{s}},$ where A and a are constants. If Q is the total charge of this charge distribution, the…2019 · 9 Jan · Shift 2 · Q56 · MCQ
Two point charges q1 $(10 μ C)$ and q2( $-$ 25 $μ$ C) are placed on the x-axis at x = 1 m and x = 4 m respectively. The electric field (in V/m) at a point y = 3 m on y-axis is, [take ${1 \over {4\pi { \in…2019 · 9 Jan · Shift 2 · Q68 · MCQ
A uniformly charged ring of radius 3a and total charge q is placed in xy-plane centred at origin. A point charge q is moving towards the ring along the z-axis and has speed u at z = 4a. The minimum value of u such that it crosses the…2019 · 10 Apr · Shift 1 · Q51 · MCQ
In free space, a particle A of charge 1 $μ$ C is held fixed at a point P. Another particle B of the same charge and mass 4 $μ$ g is kept at a distance of 1 mm from P. If B is released, then its velocity at a distance of 9 mm from P is…2019 · 10 Apr · Shift 2 · Q65 · MCQ
A charge Q is distributed over three concentric spherical shells of radii a, b, c (a < b < c) such that their surface charge densities are equal to one another. The total potential at a point at distance r from their common centre,…2019 · 10 Jan · Shift 1 · Q46 · MCQ
Two electric dipoles, A, B with respective dipole moments $d_{A} = - 4 q ai$ and $d_{B} = - 2 q ai$ are placed on the x-axis with a separation R, as shown in the figure. The distance from A at which both of… Includes diagram2019 · 10 Jan · Shift 1 · Q68 · MCQ
Charges –q and +q located at A and B, respectively, constitude an electric dipole. Distance AB = 2a, O is the mid point of the dipole and OP is perpendicular to AB. A charge Q is placed at P where OP = y and y >> 2a. The charge Q… Includes diagram2019 · 10 Jan · Shift 2 · Q51 · MCQ
Four equal point charges Q each are placed in the xy plane at (0, 2), (4, 2), (4, –2) and (0, –2). The work required to put a fifth charge Q at the origin of the coordinate system will be -2019 · 10 Jan · Shift 2 · Q71 · MCQ
The given graph shows variation (with distance r form centre) of : Includes diagram2019 · 11 Jan · Shift 1 · Q53 · MCQ