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JEE Electrostatics PYQs with Solutions

33 previous year questions from Electrostatics (JEE Main & Advanced NSEP) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

33 questionsNSEPAnswers + solutions

About Electrostatics PYQs

Electrostatics has 33 previous year questions in the Quantrex Academy JEE Main & Advanced NSEP bank. The 33 questions in this list come from Olympiad workbook (33). Each question opens on its own page with the options, the correct answer and the worked solution where available.

Electrostatics questions with solutions

1

Two particles of masses m_1 and m_2 carry identical charges. Starting from rest they are accelerated through the same potential difference. Then they enter into a region of

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2

The breakdown field for air is about 2 × 10^6 volt / m . Therefore, the maximum charge that can be placed on a sphere of diameter 10 cm is

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3

A uniform spherical charge distribution of radius R produces electric fields E _1 and E _2 at two points at distances r_1 and r_2 respectively from the centre of the distribution.

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4

A charge q is situated at the origin. Let E_ A , E_ B and E_ C be the electric fields at the points A(2,-3,-1), B(-1,-2,4) and C(2,-4,1) . Therefore,

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5

A cylinder on whose surfaces there is a vertical electric field of varying magnitude as shown. The electric field is uniform on the top surface as well as on the bottom surface.

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6

An electron is injected directly towards the centre of a large metal plate having a uniform surface charge density of -2.0 × 10^ -6 C / m^2 . The initial kinetic energy of the

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7

An isolated metallic object is charged in vacuum to a potential V_0 using a suitable source, its electrostatic energy being W_0 . It is then disconnected from the source and

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8

Acidified water from certain reservoir kept at a potential V falls in the form of small droplets each of radius r through a hole into a hollow conducting sphere of radius a . The

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9

A hollow conducting sphere of radius 15 cm has a uniform surface charge density +3.2 μ C / m^2 . When a point charge q is placed at the centre of the sphere, the electric field at

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10

Two identical charged spheres suspended from a common point by two light strings of length l , are initially ata distance d( l) apart due to their mutual repulsion. The charges

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11

An electron (e) and a proton (p) are situated on the straight line as shown below. The directions of the electric field at the points 1,2 and 3 respectively, are shown as

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12

Two point charges +1 μ C and -1 μ C are placed at points (0,-0.1 ~m) and (0,+0.1 ~m) respectively in XY plane. Then, choose the correct statement/s from the following.

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13

Two charges -q and -q are placed at points (0, d) and (0,-d) . A charge +q , free to move along X axis, will oscillate with a force proportional to

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14

In an ink-jet printer, an ink droplet of mass m is given a negative charge q by a computer-controlled charging unit. The charged droplet then enters the region between two

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15

An electric dipole placed in a non-uniform electric field may experience

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16

A hollow non-conducting cone of base radius R=50 ~cm and semi vertical angle of 15^ ^ ^ ∘ has been uniformly charged on its curved surface up to three-fourth of its slant length

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17

A thin semi-circular metal ring of radius R has a positive charge q distributed uniformly over its curved length. The resultant electric field E at the center O is

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18

A charge +q is placed at each of the points x=x_0, x=3 x_0, x=5 x_0, x=7 x_0 … … … … . . ∞ on the x -axis and a charge -q is placed at each of the points x=2 x_0, x=4 x_0, x=6

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19

Two point charges +Q each are located at (0,0) and (L, 0) at a distance L apart on the X - axis. The electric field (E) in the region 0

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20

A charged oil (density 880 ~kg ~m^ -3 ) drop is held stationary between two parallel horizontal metal plates 6.0 mm apart when a potential difference of V=103 volt is applied

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21

Statement I: Work done in bringing a charge q from infinity to the center of a uniformly charged non - conducting solid sphere of radius R (with a total charge Q ) is zero.

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22

A static point charge Q is located just above the centre C(δ arrow 0) of a horizontal circle of radius R on its geometric axis, as shown in figure. The magnitude of electric flux

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23

Three point charges +q,-2 q and +q are placed on x- axis at x=-d, x=0 and x=+d respectively. The value of electric field at a point P on x axis at x=r(r d) is given by E=(1)/(4 π

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24

The frequency of the transverse oscillations of a proton (mass M) trapped in a cylindrical relativistic electron beam of circular cross section of radius R and current I is given

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25

Three small identical neutral metal balls are at the vertices of an equilateral triangle. The balls are in turn touched to an isolated large charged conducting sphere whose centre

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26

A small positively charged ball of mass m is suspended by a long insulating thread of negligible mass. Other positively charged small ball is moved very slowly from a large

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27

A conducting thick spherical shell of radii a and b(b>a) has been charged with uniform surface charge density -σ C / m^2 on the inner and +σ C / m^2 on the outer surfaces. Then

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28

A spherical conductor is charged up to a potential of 450 V . The potential outside, at a distance 15 cm from the surface, is 300 V . Then

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29

A very small electric dipole of dipole moment p lies along the x axis (i · e p =p i ) in a non-uniform electric field E =(c)/(x) i (where c is a constant). The force on the dipole

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30

The figure shows five point-charges on a straight line. Separation between successive charges is 10 cm . For what values of q_1 and q_2 would the net force on each of the other

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31

A small dipole is placed at the origin with its dipole moment P =p i oriented along x axis. E and V , are respectively, the Electric field and potential at point A(x, y) . The

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32

Two equal positive charges +Q each lie on y axis at (0, a) and (0,-a) . The electric field strength E at a point (x, 0) satisfies:

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33

A sphere of radius R , is charged with volume charge density ρ such that ρ ∝ r ( r is distance from centre). Variation of electric field E with r (For all values of r: r ≤ R and

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Main Electrostatics list

The larger JEE Electrostatics list is under Physics (667 questions).

Related JEE NSEP chapters

Electrostatics in other exams