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GATE 2017-2018 :: GATE Physics

  1. Consider the scattering of neutrons by protons at very low energy due to a nuclear potential of range r0. Given that, 
    cot(kr0 + δ) ≈ -Ï’/k 
    where δ is the phase shift, k the wave number and (-ϒ)the logarithmic derivative of the deuteron ground state wave function, the phase shift is
  2. A.
    δ ≈ -k/ϒ - kr0
    B.
    δ ≈ -ϒ/k - kr0
    C.
    δ ≈ -π/2 - kr0
    D.
    δ ≈ π/2 - kr0

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  3. In the β decay process, the transition 2+ → 3+, is
  4. A.
    allowed both by Fermi and Gamow-Teller selection rule
    B.
    allowed by Fermi and but not by Gamow-Teller selection rule
    C.
    not allowed by Fermi but allowed by Gamow-Teller selection rule
    D.
    not allowed both by Fermi and Gamow-Teller selection rule

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  5. At a surface current, which one of the magneto static boundary condition is NOT CORRECT?
  6. A.
    Normal component of the magnetic field is continuous.
    B.
    Normal component of the magnetic vector potential is continuous.
    C.
    Tangential component of the magnetic vector potential is continuous.
    D.
    Tangential component of the magnetic vector potential is not continuous.

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  7. Interference fringes are seen at an observation plane z = 0, by the superposition of two plane waves
     , where A1 and A2 are real amplitudes. The condition for interference maximum is
  8. A.
    .

    B.
    .

    C.
    .

    D.
    .

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  9. For a scalar function φ satisfying the Laplace equation, ∇φ has
  10. A.
    zero curl and non-zero divergence
    B.
    non-zero curl and zero divergence
    C.
    zero curl and zero divergence
    D.
    non-zero curl and non-zero divergence

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  11. A circularly polarized monochromatic plane wave is incident on a dielectric interface at Brewster angle. Which one of the following statements is CORRECT ?
  12. A.
    The reflected light is plane polarized in the plane of incidence and the transmitted light is circularly polarized.
    B.
    The reflected light is plane polarized perpendicular to the plane of incidence and the transmitted light is plane polarized in the plane of incidence.
    C.
    The reflected light is plane polarized perpendicular to the plane of incidence and the transmitted light is elliptically polarized.
    D.
    There will be no reflected light and the transmitted light is circularly polarized.

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  13. Which one of the following commutation relations is NOT CORRECT ? Here, symbols have their usual meanings.
  14. A.
    [L2, Lz] = 0
    B.
    [Lx, Ly] = iћLz
    C.
    [Lz, L+] = ћL+
    D.
    [Lz, L-] = ћL-

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  15. What should be the clock frequency of a 6-bit A/D converter so that its maximum conversion time is 32 μs?
  16. A.
    1 MHz
    B.
    2 MHz
    C.
    0.5 MHz
    D.
    4 MHz

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  17. A phosphorous doped silicon semiconductor ( doping density: 1017/cm3) is heated from 100oC to 200oC. Which one of the following statements is CORRECT ?
  18. A.
    Position of Fermi level moves towards conduction band
    B.
    Position of dopant level moves towards conduction band
    C.
    Position of Fermi level moves towards middle of energy gap
    D.
    Position of dopant level moves towards middle of energy gap

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  19. Considering the BCS theory of superconductors, which one of the following statements is NOT CORRECT? 
    (h is the Planck's constant and e is the electronic charge)
  20. A.
    Presence of energy gap at temperatures below the critical temperature
    B.
    Different critical temperatures for isotopes
    C.
    Quantization of magnetic flux in superconducting ring in the unit of (h/e)
    D.
    Presence of Meissner effect

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