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GATE 2017-2018 :: GATE Physics

  1. Group I contains elementary excitations in solids. Group II gives the associated fields with these excitations. MATCH the excitations with their associated field and select your answer as per codes given below.
    Group I                            Group II
    (P) phonon     (i) photon + lattice vibration
    (Q) plasmon   (ii) electron + elastic deformation
    (R) polaron     (iii) collective electron oscillations
    (S) polariton   (iv) elastic wave
  2. A.
    (P-iv), (Q-iii), (R-i), (S-ii)
    B.
    (P-iv), (Q-iii), (R-ii), (S-i)
    C.
    (P-i), (Q-iii), (R-ii), (S-iv)
    D.
    (P-iii), (Q-iv), (R-ii), (S-i)

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  3. The number of distinct ways of placing four indistinguishable balls into five distinguishable boxes is ____________.
  4. A.
    30
    B.
    40
    C.
    50
    D.
    70

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  5. A voltage regulator has ripple rejection of -50 dB. If input ripple is 1 mV, what is the output ripple voltage in μV? The answer should be up to two decimal places. __________
  6. A.
    3.25
    B.
    3.16
    C.
    3.57
    D.
    3.71

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  7. The number of spectral lines allowed in the spectrum for the 3 2D → 3 2P transition in sodium is ____________.
  8. A.
    1
    B.
    2
    C.
    3
    D.
    4

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  9. Which of the following pairs of the given function F(t) and its Laplace transform f(s) is NOT CORRECT?
  10. A.
    F(t) = δ(t), f(s) = 1, (Singularity at +0)
    B.
    F(t) = 1, f(s) = 1/s, (s>0)
    C.
    F(t) = sin kt, f(s) = s/(s2+k2), (s>0)
    D.
    F(t) = tekt, f(s) = 1/(s-k)(s > k, s > 0)

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  11. .

  12. A.
    .

    B.
    .

    C.
    .

    D.
    Zero

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  13. .

  14. A.
    n!/2n √Ï€
    B.
    2n!/n!2n √Ï€
    C.
    2n!/n!22n √Ï€
    D.
    n!/22n √Ï€

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  15. The relativistic form of Newton's second law of motion is
  16. A.
    F = mc/√(c2 - v2) dv/dt
    B.
    F = m√(c2 - v2)/c dv/dt
    C.
    F = mc2/(c2 - v2) dv/dt
    D.
    F = m (c2 - v2)/c2 dv/dt

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  17. Consider a gas of atoms obeying Maxwell-Boltzmann statistics. The average value of  over all the momenta  of each of the particles (where  is a constant vector and a is its magnitude, m is the mass of each atom, T is temperature and k is Boltzmann's constant) is,
  18. A.
    One
    B.
    Zero
    C.
    e(-1/2 a2 m k T)
    D.
    e(-3/2 a2 m k T)

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  19. The electromagnetic form factor F(q2) of a nucleus is given by, 
    F(q2) = exp[-q2/2Q2
    where Q is a constant. Given that

    where ρ(r) is the charge density, the root mean square radius of the nucleus is given by,
  20. A.
    1/Q
    B.
    √2/Q
    C.
    √3/Q
    D.
    √6/Q

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