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Day 66: JEE Mains Physics

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

  1. Question 1

    Electromagnetic Induction. This type asked 3 times: 2021 Paper 10, 13 Apr 2023, 22 Jan 2026 S1. This one: 22 Jan 2026 S1 See all 3 of this type

    25
    Inductance of a coil with 10410^{4} turns is 10 mH and it is connected to a dc source of 10 V with internal resistance of 10Ω10\Omega. The energy density in the inductor when the current reaches (1e)\left( \frac{1}{e} \right) of its maximum value is απ×1e2 J/m3\alpha\pi \times \frac{1}{e^{2}}\text{ }J/m^{3}. The value of α\alpha is ____\_\_\_\_ . (μ0=4π×10−7Tm/A)\left( \mu_{0} = 4\pi \times 10^{- 7}Tm/A \right).

  2. Question 2

    Electrostatics. This type asked 3 times: 1 Feb 2024, 2 Apr 2025, 22 Jan 2026 S1. This one: 22 Jan 2026 S1 See all 3 of this type

    18
    A simple pendulum has a bob with mass mm and charge q . The pendulum string has negligible mass. When a uniform and horizontal electric field E→\overrightarrow{E} is applied, the tension in the string changes. The final tension in the string, when pendulum attains an equilibrium position is ____\_\_\_\_ . (g : acceleration due to gravity)

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  3. Question 3

    System of Particles and Rotational Motion. This type asked 3 times: 31 Jan 2023, 28 Jan 2025, 22 Jan 2026 S1. This one: 22 Jan 2026 S1 See all 3 of this type

    24
    A circular disc has radius R1R_{1} and thickness T1T_{1}. Another circular disc made of the same material has radius R2R_{2} and thickness T2T_{2}. If the moment of inertia of both discs are same and R1R2=2\frac{R_{1}}{R_{2}} = 2 then T1T2=1α\frac{T_{1}}{T_{2}} = \frac{1}{\alpha}. The value of α\alpha is ____\_\_\_\_ .

  4. Question 4

    Motion in a Plane. This type asked 3 times: 31 Jan 2023, 2 Apr 2025, 21 Jan 2026 S2. This one: 21 Jan 2026 S2 See all 3 of this type

    14
    A river of width 200 m is flowing from west to east with a speed of 18 km/h18\text{ }km/h. A boat, moving with speed of 36 km/h36\text{ }km/h in still water, is made to travel one-round trip (bank to bank of the river). Minimum time taken by the boat for this journey and also the displacement along the river bank are ____\_\_\_\_ and ____\_\_\_\_ respectively.

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  5. Question 5

    System of Particles and Rotational Motion. This type asked 3 times: 28 Jun 2022, 29 Jan 2024, 21 Jan 2026 S2. This one: 21 Jan 2026 S2 See all 3 of this type

    6
    Two cars A and B each of mass 103 kg10^{3}\text{ }kg are moving on parallel tracks separated by a distance of 10 m , in same direction with speeds 72 km/h72\text{ }km/h and 36 km/h36\text{ }km/h. The magnitude of angular momentum of car A with respect to car B is ____\_\_\_\_ J.s.

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