JEE Advanced 2017 physics questions with solutions

Showing 1–10 of 22 questions

• Multi-correctdifficultGeometrical opticsprism and thin prism

  For an isosceles prism of angle A and refractive index μ, it is found that the angle of minimum deviation δₘ = A. Which of the following options is/are correct?

  Select all that apply

  • Option A

    At minimum deviation, the incident angle i₁ and refracting angle r₁ satisfy r₁ = i₁/2.

  • Option B

    For this prism, A = (1/2) cos⁻¹(μ/2).

  • Option C

    The emergent ray is tangential at the second surface when i₁ = sin⁻¹[sin A √(4 cos²(A/2) - 1) - cos A].

  • Option D

    For i₁ = A, the ray inside the prism is parallel to the base.

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• Multi-correctmediumAC Circuits

  The instantaneous voltages at three terminals marked X, Y and Z are given by: Vₓ=V₀ sinωt, Vᵧ=V₀ sin(ωt+2π/3), and V𝓏=V₀ sin(ωt+4π/3). An ideal AC voltmeter reads rms potential difference. It is connected between X-Y and then Y-Z. Select the correct statements.

  Select all that apply

  • Option A

    Vₓᵧʳᵐˢ=V₀

  • Option B

    Vᵧ𝓏ʳᵐˢ=V₀√(1/2)

  • Option C

    The reading is independent of the chosen pair of terminals

  • Option D

    Vₓᵧʳᵐˢ=V₀√(3/2)

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• Multi-correctmediumThermodynamics

  A human body has surface area approximately 1 m². Its normal temperature is 10 K above room temperature T₀. Take T₀=300 K and σT₀⁴=460 W m⁻², where σ is the Stefan-Boltzmann constant. Which options are correct?

  Select all that apply

  • Option A

    The amount of energy radiated by the body in 1 second is close to 60 Joules

  • Option B

    If the surrounding temperature decreases by a small ΔT₀ << T₀, maintaining the same body temperature requires a greater radiation loss rate ΔW.

  • Option C

    Reducing the exposed surface area of the body (e. g. by curling up) allows humans to maintain the same body temperature while reducing the energy lost by radiation

  • Option D

    If the body temperature rises significantly then the peak in the spectrum of electromagnetic radiation emitted by the body would shift to longer wavelengths

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• NumericeasyWave Motion

  A stationary 492 Hz source sends sound toward a large car approaching at 2 m s⁻¹. The reflected sound returns to the source and interferes with the original. Find the beat frequency. Take sound speed = 330 m s⁻¹.

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• Multi-correctmediumThermodynamics

  A flat plate is moving normal to its plane through a gas under the action of a constant force F. The gas is kept at a very low pressure. The speed of the plate v is much less than the average speed u of the gas molecules. Which of the following options is/are true ?

  Select all that apply

  • Option A

    The resistive force experienced by the plate is proportional to v

  • Option B

    The pressure difference between the leading and trailing faces of the plate is proportional to uv.

  • Option C

    The plate will continue to move with constant non-zero acceleration, at all times

  • Option D

    At a later time the external force F balances the resistive force.

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• NumericmediumProperties of solid and fluid

  A liquid drop of radius R = 10⁻² m and surface tension S = 0.1/(4π) N m⁻¹ divides into K identical drops. The total increase in surface energy is ΔU = 10⁻³ J. If K = 10^α, find α.

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• NumericmediumAtomic Structure and X-rays

  An electron in hydrogen changes from orbit n₁ to orbit n₂. If the ratio of its potential energies is V₁/V₂ = 6.25, find the smallest possible value of n₂.

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• Multi-correctmediumWave Optics

  Two coherent monochromatic point sources S₁ and S₂ of wavelength 600 nm are placed symmetrically about the centre of a circle and separated by d=1.8 mm, as shown. Interference produces bright and dark spots on the circumference. Choose the correct statements.

  

  Select all that apply

  • Option A

    A dark spot will be formed at the point P₂.

  • Option B

    The angular separation between two consecutive bright spots decreases as we move from P₁ to P₂ along the first quadrant.

  • Option C

    At P₂ the order of the fringe will be maximum.

  • Option D

    The total number of fringes produced between P₁ and P₂ in the first quadrant is close to 3000.

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• Multi-correctmediumElectrostatic

  A point charge +Q is placed just outside an imaginary hemispherical surface of radius R as shown in the figure. Which of the following statements is/are correct ?

  

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  • Option A

    The circumference of the flat surface is an equipotential.

  • Option B

    Flux through the curved surface is -[Q/(2ε₀)](1 - 1/√2).

  • Option C

    Total flux through the curved and flat surfaces is Q/ε₀.

  • Option D

    The normal component of electric field on the flat surface is constant.

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  A rocket is launched normally from Earth's surface, away from the Sun, along the Sun-Earth line. The Sun is 3 × 10⁵ times as massive as Earth and is at a distance 2.5 × 10⁴ Earth radii. Earth's escape speed is vₑ = 11.2 km s⁻¹. Find the minimum initial speed vₛ needed to leave the Sun-Earth system.

  Options

  • Option A

    vₛ = 22 km s⁻¹

  • Option B

    vₛ = 72 km s⁻¹

  • Option C

    vₛ = 42 km s⁻¹

  • Option D

    vₛ = 62 km s⁻¹

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