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Day 82: JEE Mains Physics

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

  1. Question 1

    Nuclei. This type asked 3 times: 2021 Paper 6, 2021 Paper 14, 10 Apr 2023. This one: 10 Apr 2023 See all 3 of this type

    27
    The decay constant for a radioactive nuclide is 1.5×10−5 s−11.5 \times10^{- 5}{\text{ }s}^{- 1}. Atomic mass of the substance is 60 g60\text{ }g mole  −1,( NA=6×1023)\ ^{- 1},\left( {\text{ }N}_{A}= 6 \times10^{23} \right). The activity of 1.0μg1.0\mu g of the substance is___ ×1010 Bq\times10^{10}\text{ }Bq.

  2. Question 2

    Motion in a Plane. This type asked 3 times: 2021 Paper 26, 26 Jul 2022, 8 Apr 2023. This one: 8 Apr 2023 See all 3 of this type

    95
    The trajectory of projectile, projected from the ground is given by y=x−x220y = x -\frac{x^{2}}{20}. Where xx and yy are measured in meter. The maximum height attained by the projectile will be.

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  3. Question 3

    System of Particles and Rotational Motion. This type asked 3 times: 2021 Paper 10, 29 Jun 2022, 8 Apr 2023. This one: 8 Apr 2023 See all 3 of this type

    24
    The moment of inertia of semicircular ring about an axis, passing through the center and perpendicular to the plane of ring, is 1XMR2\frac{1}{X}MR^{2}, where RR is the radius and MM is the mass of semicircular ring. The value of xx will be

  4. Question 4

    Electromagnetic Waves. This type asked 3 times: 2021 Paper 5, 1 Feb 2023, 6 Apr 2023. This one: 6 Apr 2023 See all 3 of this type

    104
    The energy density associated with electric field E→\overrightarrow{E} and magnetic field B→\overrightarrow{B} of an electromagnetic wave in free space is given by ( ϵ0−\epsilon_{0}- permittivity of free space, μ0\mu_{0} - permeability of free space)

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  5. Question 5

    Motion in a Plane. This type asked 3 times: 27 Jun 2022, 24 Jan 2023, 6 Apr 2023. This one: 6 Apr 2023 See all 3 of this type

    7
    A small block of mass 100 g100\text{ }g is tied to a spring of spring constant 7.5 N/m7.5\text{ }N/m and length 20 cm20\text{ }cm. The other end of spring is fixed at a particular point A. If the block moves in a circular path on a smooth horizontal surface with constant angular velocity 5rad/s5rad/s about point AA, then tension in the spring is

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