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Electrostatics — JEE Main & Advanced NSEP PYQs

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

33 questionsNSEPSolutions on every page
1

Two particles of masses m₁ and m₂ carry identical charges. Starting from rest they are accelerated through the same potential difference. Then they enter into a region of uniform m

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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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A uniform spherical charge distribution of radius R produces electric fields E ₁ and E ₂ at two points at distances r₁ and r₂ respectively from the centre of the distribution. Out

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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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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. Th

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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 electro

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An isolated metallic object is charged in vacuum to a potential V₀ using a suitable source, its electrostatic energy being W₀ . It is then disconnected from the source and immersed

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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 s

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

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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 beg

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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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Two point charges +1 C and -1 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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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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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 deflecti

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

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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 from ba

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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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A charge +q is placed at each of the points x=x₀, x=3 x₀, x=5 x₀, x=7 x₀ . . on the x -axis and a charge -q is placed at each of the points x=2 x₀, x=4 x₀, x=6 x₀, x=8 x₀ here x₀ i

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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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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 betwe

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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. Stateme

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

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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=

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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 b

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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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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 distanc

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

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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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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 is

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The figure shows five point-charges on a straight line. Separation between successive charges is 10 cm . For what values of q₁ and q₂ would the net force on each of the other three

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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 obs

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

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