JEE Advanced 2022 physics questions with solutions

Showing 1–10 of 31 questions

• NumericmediumGravitationAcceleration Due to Gravity & Escape Velocity

  Two spherical stars A and B initially have the same radius, densities ρₐ and ρᵦ, and masses related by Mᵦ = 2Mₐ. Star A loses mass while retaining density ρₐ so that its radius becomes half. All lost mass is deposited as a thick shell on B with density ρₐ. If vₐ and vᵦ are the final escape speeds and vᵦ/vₐ = $\sqrt{}$(10ⁿ/15¹ᐟ³), find n.

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• MCQmediumThermodynamics

  An ideal gas of density ρ = 0.2 kg m⁻³ enters a chimney of height h at the rate of α = 0.8 kg s⁻¹ from its lower end, and escapes through the upper end as shown in the figure. The cross-sectional area of the lower end is A₁ = 0.1 m² and the upper end is A₂ = 0.4 m². The pressure and the temperature of the gas at the lower end are 600 Pa and 300 K, respectively, while its temperature at the upper end is 150 K. The chimney is heat insulated so that the gas undergoes adiabatic expansion. Take g = 10 m s⁻² and the ratio of specific heats of the gas γ = 2. Ignore atmospheric pressure. Which of the following statement(s) is(are) correct?

  

  Options

  • Option A

    The pressure of the gas at the upper end of the chimney is 300 Pa.

  • Option B

    The velocity of the gas at the lower end of the chimney is 40 m s⁻¹ and at the upper end is 20 m s⁻¹.

  • Option C

    The height of the chimney is 590 m.

  • Option D

    The density of the gas at the upper end is 0.05 kg m⁻³.

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• NumericmediumNuclear physics

  In the decay chain ²³⁰₉₀Th → ²¹⁴₈₄Po, find the ratio of the number of α emissions to β⁻ emissions.

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• Multi-correctmediumElectrostaticpotential energy and electric potential

  A disk of radius R with uniform positive surface charge density σ lies in the xy-plane with centre at the origin. The potential on the z-axis is V(z) = [σ/(2ε₀)](√(R² + z²) - z). A positive charge q starts from rest at z = z₀ > 0. In addition to the Coulomb force it experiences a constant force $\vec{F}$ = -c$\hat{k}$, c > 0. Define β = 2cε₀/(qσ). Which statement(s) is/are correct?

  Select all that apply

  • Option A

    For β = 1/4 and z₀ = 25R/7, the particle reaches the origin.

  • Option B

    For β = 1/4 and z₀ = 3R/7, the particle reaches the origin.

  • Option C

    For β = 1/4 and z₀ = R/3, the particle returns to z = z₀.

  • Option D

    For β > 1 and z₀ > 0, the particle always reaches the origin.

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• Multi-correctmediumCurrent electricityCircuit Theory & Kirchhoff’s Laws

  The circuit contains eight 1 Ω resistors R₁ to R₈ and two ideal batteries of emfs ε₁ = 12 V and ε₂ = 6 V, as shown. Select the correct statements.

  

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  • Option A

    The magnitude of current flowing through R₁ is 7.2 A.

  • Option B

    The magnitude of current flowing through R₂ is 1.2 A.

  • Option C

    The magnitude of current flowing through R₃ is 4.8 A.

  • Option D

    The magnitude of current flowing through R₅ is 2.4 A.

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• MCQmediumRotational Motionangular impulse in pure rotation and rotational collision

  A flat surface of a thin uniform disk A of radius R is glued to a horizontal table. Another thin uniform disk B of mass M and with the same radius R rolls without slipping on the circumference of A, as shown in the figure. A flat surface of B also lies on the plane of the table. The center of mass of B has fixed angular speed ω about the vertical axis passing through the center of A. The angular momentum of B is nMωR² with respect to the center of A. Which of the following is the value of n?

  

  Options

  • Option A

    2

  • Option B

    5

  • Option C

    7/2

  • Option D

    9/2

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• MCQdifficultGeometrical opticsapperant depth and shift due to slab

  Consider a configuration of n identical units, each consisting of three layers. The first layer is a column of air of height h = 1/3 cm. The second and third layers are of equal thickness d = (√3 - 1)/2 cm and have refractive indices μ₁ = 3/2 and μ₂ = √3, respectively. A light source O is placed on the top of the first unit, as shown. A ray from O is incident on the second layer of the first unit at θ = 60° to the normal. For a specific value of n, the ray emerges from the bottom at a distance l = 8/3 cm, as shown. Find n.

  

  Options

  • Option A

    5

  • Option B

    3

  • Option C

    8

  • Option D

    4

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• IntegermediumKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  An object is projected in the air with initial velocity u at an angle θ. The projectile motion is such that the horizontal range R is maximum. Another object is projected in the air with a horizontal range half of the range of first object. The initial velocity remains same in both the case. The value of the angle of projection, at which the second object is projected, will be_______degree. (Mark the smallest angle possible)

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• Multi-correctmediumProperties of solid and fluid

  A spherical bubble has surface tension S and contains ideal gas with γ = 5/3. At atmospheric pressures Pₐ₁ and Pₐ₂, its states are (r₁, T₁) and (r₂, T₂). Select the correct thermodynamic/surface-tension relations.

  Select all that apply

  • Option A

    If perfectly insulated, (r₁/r₂)⁵ = [Pₐ₂ + 2S/r₂]/[Pₐ₁ + 2S/r₁].

  • Option B

    If perfectly insulated, total internal energy including surface energy is independent of external pressure.

  • Option C

    If perfectly conducting with negligible atmospheric-temperature change, (r₁/r₂)³ = [Pₐ₂ + 4S/r₂]/[Pₐ₁ + 4S/r₁].

  • Option D

    If perfectly insulated, (T₂/T₁)^(5/2) = [Pₐ₂ + 4S/r₂]/[Pₐ₁ + 4S/r₁].

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• MCQdifficultGeometrical opticslens and combination lens,silvered lens

  A rod of length 2 cm makes an angle 2π/3 rad with the principal axis of a thin convex lens. The lens has focal length 10 cm and is placed at a distance 40/3 cm from the object, as shown. The image height is 30√3/13 cm and it makes an angle α with the principal axis. If α = π/n rad, find n.

  

  Options

  • Option A

    6

  • Option B

    7

  • Option C

    5

  • Option D

    12

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