JEE Advanced 2025 Paper 1 physics questions with solutions

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• NumericdifficultCircular Motion

  An electron is in the n = 3 orbit of a hydrogen-like atom of atomic number Z. A neutron with thermal energy kᴮT has the same de Broglie wavelength as the electron. If T = Z²h²/(απ²a₀²mᴺkᴮ), find α.

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• NumericdifficultCircular Motion

  A single-slit diffraction experiment uses bd/D = mλ to determine slit width b. D and d are measured with least counts 1 cm and 1 mm, respectively. λ = 600 nm and m = 3 are exact. For d = 5 mm and D = 1 m, find the absolute error in b in μm.

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• Multi-correctdifficultCircular Motion

  Three strings S₁, S₂ and S₃ have linear mass densities μ, 4μ and 16μ, respectively, and are connected in series as shown. A generator sends y = y₀ cos(ωt - kx) along S₁. Which statements are correct? Image

  Select all that apply

  • Option A

    At the first reflection from P: y = α₁y₀ cos(ωt + kx + π), where α₁ > 0.

  • Option B

    At the first transmission through P: y = α₂y₀ cos(ωt - kx), where α₂ > 0.

  • Option C

    At the first reflection from Q: y = α₃y₀ cos(ωt - kx + π), where α₃ > 0.

  • Option D

    At the first transmission through Q: y = α₄y₀ cos(ωt - 4kx), where α₄ > 0.

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• MatchdifficultCircular Motion

  Four configurations of two ideal electric dipoles are shown in List-I. Each dipole has magnitude p and the dipoles are 2r apart along x. X is the midpoint. Match each configuration with the resultant electric field at X. Image

  List 1

  1. Image 1

  2. Image 2

  3. Image 3

  4. Image 4

  5. .

  List 2

  1. E = 0

  2. E = -p ĵ/(2πε₀r³)

  3. E = -p(î - ĵ)/(4πε₀r³)

  4. E = p(2î - ĵ)/(4πε₀r³)

  5. E = p î/(πε₀r³)

  Options

  • Option A

    P→3, Q→1, R→2, S→4

  • Option B

    P→4, Q→5, R→3, S→1

  • Option C

    P→2, Q→1, R→4, S→5

  • Option D

    P→2, Q→1, R→3, S→5

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• MCQdifficultCircular Motion

  In a scattering experiment, a particle of mass 2m collides elastically with a particle of mass m initially at rest. The maximum angular deviation θ of the heavier particle is: Image

  Options

  • Option A

    π

  • Option B

    tan⁻¹(1/2)

  • Option C

    π/3

  • Option D

    π/6

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• MCQdifficultCircular Motion

  The center of a disk of radius r and mass m is attached to a spring of spring constant k, inside a ring of radius R > r. The disk rolls without slipping along the inside periphery of the ring. The spring follows the periphery of the ring and obeys Hooke's law. In equilibrium, the disk is at the bottom of the ring. For a small displacement, T = 2π/ω. The correct expression for ω is: Image

  Options

  • Option A

    √{(2/3)[g/(R - r) + k/m]}

  • Option B

    √{2g/[3(R - r)] + k/m}

  • Option C

    √{(1/6)[g/(R - r) + k/m]}

  • Option D

    √{(1/4)[g/(R - r) + k/m]}

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• NumericdifficultCircular Motion

  A solid glass sphere of refractive index √3 and radius R contains a spherical air cavity of radius R/2 as shown. A ray emitted inside the glass reflects at O and is fully polarized. If θ is the angle of incidence at the inner surface of the glass sphere, find sinθ. Image

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• Multi-correctdifficultCircular Motion

  A conducting square loop of side L, mass M and resistance R enters a region y ≥ 0 containing uniform magnetic field B = B₀ k̂ with initial velocity v₀ ĵ. Define K = B₀²L²/(RM). Ignoring self-inductance and gravity, which statements are correct? Image

  Select all that apply

  • Option A

    If v₀ = 1.5KL, the loop stops before entering completely into the magnetic-field region.

  • Option B

    When the complete loop is inside the magnetic-field region, the net force on the loop is zero.

  • Option C

    If v₀ = KL/10, the loop comes to rest at t = (1/K) ln(5/2).

  • Option D

    If v₀ = 3KL, the complete loop enters the magnetic-field region at t = (1/K) ln(3/2).

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• Multi-correctmediumCircular Motion

  Length, breadth and thickness of a uniform strip are measured as 10.5 cm, 0.05 mm and 6.0 μm, respectively. Which option(s) give(s) the volume in cm³ with correct significant figures?

  Select all that apply

  • Option A

    3.2 × 10⁻⁵

  • Option B

    32.0 × 10⁻⁶

  • Option C

    3.0 × 10⁻⁵

  • Option D

    3 × 10⁻⁵

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• NumericdifficultCircular Motion

  A cube of unit volume contains 35 × 10⁷ photons of frequency 10¹⁵ Hz. Treating their total energy as the average electromagnetic-wave energy in the same volume, the magnetic-field amplitude is α × 10⁻⁹ T. Given μ₀ = 4π × 10⁻⁷ T m A⁻¹, h = 6 × 10⁻³⁴ J s and π = 22/7, find α.

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