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Day 9: JEE Mains Physics

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

  1. Question 1

    Wave Optics. This type asked 7 times: 28 Jun 2022, 30 Jan 2023, 1 Feb 2023, 9 Apr 2024, 21 Jan 2026 S1, 21 Jan 2026 S2, 4 Apr 2026 S2. This one: 4 Apr 2026 S2 See all 7 of this type

    25
    In a double slit experiment, when one of the slits is covered by a transparent mica sheet of refractive index 1.56, the central fringe shifts to the position of 7th 7^{\text{th~}} bright fringe, obtained with both slits uncovered. If the light source wavelength is 450 nm , the thickness of mica sheet is α×10−9 m\alpha \times 10^{- 9}\text{ }m. The value of α\alpha is ____\_\_\_\_ .

  2. Question 2

    Oscillations. This type asked 7 times: 2021 Paper 12, 2021 Paper 17, 2021 Paper 26, 30 Jan 2023, 27 Jan 2024, 9 Apr 2024, 4 Apr 2026 S1. This one: 4 Apr 2026 S1 See all 7 of this type

    23
    The velocity of a particle executing simple harmonic motion along x -axis is described as v2=50−x2v^{2} = 50 - x^{2}, where x represents displacement. If the time period of motion is x7s\frac{x}{7}s, the value of xx is ____\_\_\_\_ .

  3. Question 3

    Electromagnetic Induction. This type asked 7 times: 2021 Paper 22, 25 Jul 2022, 29 Jan 2023, 6 Apr 2023, 31 Jan 2024, 5 Apr 2024, 2 Apr 2026 S2. This one: 2 Apr 2026 S2 See all 7 of this type

    18
    A circular current loop of radius RR is placed inside square loop of side length L (L≫R)L\ (L \gg R) such that they are co-planar, and their centers coincide. The permeability of free space is μ0\mu_{0}. The mutual inductance between circular loop and square loop is ____\_\_\_\_ .

    Tap an option to check your answer.

  4. Question 4

    Moving Charges and Magnetism. This type asked 7 times: 27 Jun 2022, 13 Apr 2023, 29 Jan 2024, 31 Jan 2024, 5 Apr 2024, 2 Apr 2026 S1, 2 Apr 2026 S2. This one: 2 Apr 2026 S2 See all 7 of this type

    4
    A particle having charge 10−9C10^{- 9}C moving in x−yx-y plane in fields of 0.4j^ N/C0.4\widehat{j}\text{ }N/C and 4×10−3k^ T4 \times10^{- 3}\widehat{k}\text{ }T experiences a force of (4i^+2j^)×10−10 N(4\widehat{i}+ 2\widehat{j}) \times10^{- 10}\text{ }N. The velocity of the particle at that instant is ____\_\_\_\_ m/sm/s.

    Tap an option to check your answer.

  5. Question 5

    Electromagnetic Induction. This type asked 7 times: 2021 Paper 19, 14 Jun 2022, 30 Jan 2023, 1 Feb 2023, 1 Feb 2024, 29 Jan 2025, 22 Jan 2026 S2. This one: 22 Jan 2026 S2 See all 7 of this type

    21
    A conducting circular loop is rotated about its diameter at a constant angular speed of 100rad/s100rad/s in a magnetic field of 0.5 T perpendicular to the axis of rotation. When the loop is rotated by 30∘30^{\circ} from the horizontal position, the induced EMF is 15.4 mV . The radius of the loop is ____\_\_\_\_ mm .  (Take π=227)\left. \ (Take\ \pi = \frac{22}{7} \right)