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Electrostatics

JEE Mains Physics. Try each one first, then open its answer.

Top 10 JEE Mains PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 12 times: 26 Jun 2022, 27 Jun 2022, 28 Jun 2022, 30 Jan 2023, 8 Apr 2023, 11 Apr 2023, 30 Jan 2024, 1 Feb 2024, 29 Jan 2025, 3 Apr 2025, 22 Jan 2026 S2, 6 Apr 2026 S2. This one: 6 Apr 2026 S2 See all 12 of this type

    15
    A sphere of capacitance 100 pF is charged to a potential of 100 V . Another identical uncharged metal sphere is brought in contact with the charged sphere, then the change in the total energy stored on these spheres, when they touch is α×10−7 J\alpha \times10^{- 7}\text{ }J. The value of α\alpha is ____\_\_\_\_ . (combined capacitance of spheres is 200 pF ).

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  2. Question 2

    This type asked 9 times: 2021 Paper 5, 25 Jun 2022, 28 Jul 2022, 25 Jan 2023, 6 Apr 2023, 10 Apr 2023, 8 Apr 2024, 21 Jan 2026 S1, 23 Jan 2026 S2. This one: 23 Jan 2026 S2 See all 9 of this type

    9
    A parallel plate capacitor with plate separation 5 mm is charged by a battery. On introducing a mica sheet of 2 mm and maintaining the connections of the plates with the terminals of the battery, it is found that it draws 25%25\% more charge from the battery. The dielectric constant of mica is ____\_\_\_\_ .

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  3. Question 3

    This type asked 5 times: 2021 Paper 4, 29 Jan 2023, 4 Apr 2024, 22 Jan 2025, 23 Jan 2026 S1. This one: 23 Jan 2026 S1 See all 5 of this type

    15
    Two point charges 2 q and q are placed at vertex A and centre of face CDEF of the cube as shown in figure. The electric flux passing through the cube is :

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  4. Question 4

    This type asked 5 times: 2021 Paper 26, 25 Jun 2022, 26 Jun 2022, 12 Apr 2023, 22 Jan 2026 S2. This one: 22 Jan 2026 S2 See all 5 of this type

    5
    Three small identical bubbles of water having same charge on each coalesce to form a bigger bubble. Then the ratio of the potentials on one initial bubble and that on the resultant bigger bubble is :

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  5. Question 5

    This type asked 5 times: 28 Jul 2022, 13 Apr 2023, 27 Jan 2024, 4 Apr 2025, 7 Apr 2025. This one: 7 Apr 2025 See all 5 of this type

    85
    A dipole with two electric charges of 2μC2\mu C magnitude each, with separation distance 0.5μ m0.5\mu\text{ }m, 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 difference of 5 V is applied. Separation between the plates is 0.5 mm . If the dipole is rotated by 30∘30^{\circ} from the axis, it tends to realign in the direction due to a torque. The value of torque is:

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  6. Question 6

    This type asked 5 times: 2021 Paper 22, 25 Jan 2023, 29 Jan 2023, 31 Jan 2024, 2 Apr 2025. This one: 2 Apr 2025 See all 5 of this type

    7
    A point charge +q is placed at the origin. A second point charge +9 q is placed at (d,0,0)(d,0,0) in Cartesian coordinate system. The point in between them where the electric field vanishes is :

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  7. Question 7

    This type asked 5 times: 2021 Paper 24, 30 Jan 2023, 31 Jan 2023, 1 Feb 2023, 9 Apr 2024. This one: 9 Apr 2024 See all 5 of this type

    114
    An electric field E→=(2xi^)NC−1\overrightarrow{E}= (2x\widehat{i})NC^{- 1} exists in space. AA cube of side 2 m2\text{ }m is placed in the space as per figure given below. The electric flux through the cube is________ Nm2/CNm^{2}/C.

  8. Question 8

    This type asked 4 times: 29 Jan 2024, 1 Feb 2024, 9 Apr 2024, 2 Apr 2026 S2. This one: 2 Apr 2026 S2 See all 4 of this type

    15
    Two-point charges 8μC8\mu C and −2μC- 2\mu C are located at x=2 cmx = 2\text{ }cm and x=4 cmx = 4\text{ }cm, respectively on the x -axis. The ratio of electric flux due to these charges through two spheres of radii 3 cm and 5 cm with their centers at the origin is ____\_\_\_\_ .

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  9. Question 9

    This type asked 4 times: 26 Jul 2022, 30 Jan 2023, 8 Apr 2024, 2 Apr 2026 S1. This one: 2 Apr 2026 S1 See all 4 of this type

    9
    Two charged conducting spheres S1S_{1} and S2S_{2} of radii 8 cm and 18 cm are connected to each other by a wire. After equilibrium is established, the ratio of electric fields on S1S_{1} and S2S_{2} spheres are ES1E_{S1} and ES2E_{S2} respectively. The value of ES1ES2\frac{E_{S1}}{E_{S2}} is ____\_\_\_\_ .

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  10. Question 10

    This type asked 4 times: 2021 Paper 19, 3 Apr 2025, 23 Jan 2026 S1, 24 Jan 2026 S2. This one: 24 Jan 2026 S2 See all 4 of this type

    10
    Three parallel plate capacitors each with area A and separation d are filled with two dielectric ( k1k_{1} and k2k_{2} ) in the following fashion. Which of the following is true? (k1>k2)\left( k_{1}>k_{2} \right)

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