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Day 62: JEE Mains Physics

5 questions. Try each one first, then open its answer.

  1. Question 1

    Units and Measurements. This type asked 3 times: 28 Jul 2022, 8 Apr 2024, 2 Apr 2026 S1. This one: 2 Apr 2026 S1 See all 3 of this type

    1
    The dimensional formula of 12ϵ0E2\frac{1}{2}\epsilon_{0}E^{2} (ϵ0=\epsilon_{0} = permittivity of vacuum and E=E = electric field) is MaLbTcM^{a}L^{b}T^{c}. The value of 2a−b+c=2a - b + c = ____\_\_\_\_ .

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  2. Question 2

    System of Particles and Rotational Motion. This type asked 3 times: 2021 Paper 26, 28 Jun 2022, 28 Jan 2026 S2. This one: 28 Jan 2026 S2 See all 3 of this type

    25
    A fly wheel having mass 3 kg and radius 5 m is free to rotate about a horizontal axis. A string having negligible mass is wound around the wheel and the loose end of the string is connected to a 3 kg mass. The mass is kept at rest initially and released. Kinetic energy of the wheel when the mass descends by 3 m is ____\_\_\_\_ J.(g=10 m/s2)J.\left( g = 10\text{ }m/s^{2} \right)

  3. Question 3

    Electrostatics. This type asked 3 times: 27 Jan 2024, 21 Jan 2026 S1, 28 Jan 2026 S1. This one: 28 Jan 2026 S1 See all 3 of this type

    19
    Two-point charges of 1nC and 2nC are placed at the two corners of equilateral triangle of side 3 cm . The work done in bringing a charge of 3nC from infinity to the third corner of the triangle is ____\_\_\_\_ μJ\mu J. 14πϵ0=9×109 N.m2/C2\frac{1}{4\pi\epsilon_{0}}= 9 \times10^{9}\text{ }N.m^{2}/C^{2}

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  4. Question 4

    Motion in a Straight Line. This type asked 3 times: 2021 Paper 14, 2021 Paper 21, 28 Jan 2026 S1. This one: 28 Jan 2026 S1 See all 3 of this type

    5
    Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the first drop strikes the floor when the sixth drop begins to fall. The height at which the fourth drop will be from ground, at the instant when the first drop strikes the ground is ____\_\_\_\_ m. ( g=10 m/s2g = 10\text{ }m/s^{2} )

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  5. Question 5

    Oscillations. This type asked 3 times: 2021 Paper 22, 30 Jan 2023, 28 Jan 2026 S1. This one: 28 Jan 2026 S1 See all 3 of this type

    21
    The displacement of a particle, executing simple harmonic motion with time period TT, is expressed as x(t)=Asinωtx(t) = Asin\omega t, where AA is the amplitude. The maximum value of potential energy of this oscillator is found at t=T/2βt = T/2\beta. The value of β\beta is ____\_\_\_\_ .