PYQ Vault

Day 225: JEE Mains Physics

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

  1. Question 1

    Waves. Asked once: 30 Jan 2024 (same type asked 2 times) See all 2 of this type

    119
    A point source is emitting sound waves of intensity 16×10−8Wm−216 \times10^{- 8}Wm^{- 2} at the origin. The difference in intensity (magnitude only) at two points located at a distances of 2 m2\text{ }m and 4 m4\text{ }m from the origin respectively will be _____ ×10−8Wm−2\times10^{- 8}Wm^{- 2}
  2. Question 2

    Electrostatics. Asked once: 29 Jan 2023 (same type asked 2 times) See all 2 of this type

    119
    For a charged spherical ball, electrostatic potential inside the ball varies with rr as V=2ar2+bV = 2ar^{2}+ b. Here, aa and bb are constant and rr is the distance from the center. The volume charge density inside the ball is −λaε- \lambda a\varepsilon. The value of λ\lambda is_____ ε=\varepsilon = permittivity of the medium
  3. Question 3

    Electrostatics. Asked once: 10 Apr 2023 (same type asked 2 times) See all 2 of this type

    28
    Three concentric spherical metallic shells X, Y and ZZ of radius a,ba,b and cc respectively [a<b<c]\lbrack a < b < c\rbrack have surface charge densities σ,−σ\sigma, - \sigma and σ\sigma, respectively. The shells XX and ZZ are at same potential. If the radii of X&YX\& Y are 2 cm2\text{ }cm and 3 cm3\text{ }cm, respectively. The radius of shell ZZ is____ cm.
  4. Question 4

    Oscillations. Asked once: 23 Jan 2025 (same type asked 2 times) See all 2 of this type

    2
    A light hollow cube of side length 10 cm and mass 10 g is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time period of oscillations is yπ×10−2 sy\pi \times10^{- 2}\text{ }s, where the value of yy is (Acceleration due to gravity, g=10 m/s2g = 10\text{ }m/s^{2}, density of water =103 kg/m3=10^{3}\text{ }kg/m^{3} )

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  5. Question 5

    Ray Optics. Asked once: 21 Jan 2026 S1 (same type asked 2 times) See all 2 of this type

    25
    In a microscope the objective is having focal length f0=2 cmf_{0} = 2\text{ }cm and eye-piece is having focal length fe=4 cmf_{e} = 4\text{ }cm. The tube length is 32 cm. The magnification produced by this microscope for normal adjustment is ____\_\_\_\_ .