Previous year questions with solutions · 2024 – 2026
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 13 | 19 | 0.68 | 2.74% ▼ 35% vs last year |
| 2025 | 20 | 19 | 1.1 | 4.21% ▲ 1.1% vs last year |
| 2024 | 25 | 20 | 1.2 | 4.17% |
A positive ion A and a negative ion B has charges 6.67 10-19 C and 9.6 10-10 C, and masses 19.2 10-27 kg and 9 10-27 kg respectively. At an instant, the ions are separated by a certain distance r. At that instant the ratio of the magnitudes of electrostatic force to gravitational force is P 10-13, where the value of P is . (Take 14 0=9 109 Nm2C-2 and universal gravitational constant as 6.67 10-11 Nm2 kg-2 )
A line charge of length a2 is kept at the center of an edge BC of a cube ABCDEFGH having edge length ' a ' as shown in the figure. If the density of line charge is C per unit length, then the total electric flux through all the faces of the cube will be . (Take, 0 as the free space permittivity) [figure]
An electron is made to enter symmetrically between two parallel and equally but oppositely charged metal plates, each of 10 cm length. The electron emerges out of the electric field region with a horizontal component of velocity 106 m/s. If the magnitude of the electric field between the plates is 9.1 V/cm, then the vertical component of velocity of electron is (mass of electron =9.1 10-31 kg and charge of electron =1.6 10-19 C )
Five charges +q, +5q, -2q, +3q and -4q are situated as shown in the figure. The electric flux due to this configuration through the surface S is : [figure]
An electric field E = (2x i) NC-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 Nm2/C. [figure]
An electric field, E = 2 i + 6 j + 8 k 6 passes through the surface of 4 m2 area having unit vector n = ( 2 i + j + k 6 ). The electric flux for that surface is V m.
If the net electric field at point P along Y axis is zero, then the ratio of | q2q3 | is 85 x, where x = . [figure]
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 :
Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point P is x 0. The value of x is (all quantities are measured in SI units). [figure]
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 force of repulsion between P and S is :
In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the order of :
The vehicles carrying inflammable fluids usually have metallic chains touching the ground:
The electric field at point P due to an electric dipole is E. The electric field at point R on equatorial line will be Ex. The value of x : [figure]
An infinitely long positively charged straight thread has a linear charge density Cm-1. An electron revolves along a circular path having axis along the length of the wire. The graph that correctly represents the variation of the kinetic energy of electron as a function of radius of circular path from the wire is :
An infinite plane sheet of charge having uniform surface charge density + s C/m2 is placed on x-y plane. Another infinitely long line charge having uniform linear charge density + e C/m is placed at z=4 m plane and parallel to y-axis. If the magnitude values | s|=2| e| then at point (0,0,2), the ratio of magnitudes of electric field values due to sheet charge to that of line charge is n:1. The value of n is .
A charge q is placed at the center of one of the surfaces of a cube. The flux linked with the cube is:
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle 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, the dielectric constant of water will be . (Take density of water = 1 g/cc)
C1 and C2 are two hollow concentric cubes enclosing charges 2Q and 3Q respectively as shown in figure. The ratio of electric flux passing through C1 and C2 is : [figure]
Suppose a uniformly charged wall provides a uniform electric field of 2 104 N/C normally. A charged particle of mass 2 g being suspended through a silk thread of length 20 cm and remain stayed at a distance of 10 cm from the wall. Then the charge on the particle will be 1 x μC where x= . [use g=10 m/s2]
Two charges q and 3q 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 :
Force between two point charges q1 and q2 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:
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 '+ '. Then time period will be given as : (Consider k as Coulomb's constant)
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of 37 with each other. When suspended in a liquid of density 0.7 g/cm3, the angle remains same. If density of material of the sphere is 1.4 g/cm3, the dielectric constant of the liquid is ( 37 = 34 )
Two charges of 5Q and -2Q are situated at the points (3a,0) and (-5a,0) respectively. The electric flux through a sphere of radius '4a' having center at origin is :
An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet S having surface charge density + . The electron at t=0 is at a distance of 1 m from S and has a speed of 1 m/s. The maximum value of if the electron strikes S at t=1 s is [ m 0e ] Cm2, the value of is .
An electric field is given by (6 i+5 j+3 k) N/C. The electric flux through a surface area 30 i m2 lying in YZ-plane (in SI unit) is :
A thin metallic wire having cross sectional area of 10-4 m2 is used to make a ring of radius 30 cm. A positive charge of 2 C is uniformly distributed over the ring, while another positive charge of 30 pC is kept at the centre of the ring. The tension in the ring is N; provided that the ring does not get deformed (neglect the influence of gravity). (given, 14 0 = 9 109 SI units)
Two charges of -4 and +4 are placed at the points A(1, 0, 4) m and B(2, -1, 5) m located in an electric field E=0.20 i V/cm. The magnitude of the torque acting on the dipole is 8 10-5 Nm, where = .