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Physics Resonance: Problem set 7 -->

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Monday, 10 October 2016

Problem set 7

  1. For a face centred cubic crystalline structure the following diffraction peaaks may be observed in the X-ray diffraction experiment:
    1. (110), (330)
    2. (111), (321)
    3. (100), (321)
    4. (111), (331)
  2. In the X-ray diffraction of a set of crystal planes having 'd' equal to 0.18 nm, a first order reflection is found to be at an angle of 12^o. The wavelength of X-ray used is [Given: \sin{12^o}=0.2079]
    1. 0.1543 nm
    2. 0.0749 nm
    3. 0.0374 nm
    4. 0.749 nm
  3. The outer electron configuration of divalent Manganese ion is 3d^54s^0. The ground state of this ion is characterized by the spectroscopic term:
    1. ^6S_{5/2}
    2. ^2D_{5/2}
    3. ^2F_{5/2}
    4. ^6H_{5/2}
  4. Consider a nuclear F^{19}. When it is placed in a magnetic field of 1.0 tesla, the resonance frequency (in units of MHz) of the signal observed for this nucleus in the NMR spectrometer is : (Given: g_N=5.256, \mu_N=5.0504\times10^{-27} J/T; the subscript N refers to the nuclear factors)
    1. 30 MHz
    2. 90 MHz
    3. 40 MHz
    4. 5.0 MHz
  5. The work done in bringing a charge +q from infinity in free space, to a position at a distance d in front of a semi-infinite grounded metal surface is
    1. -\frac{q^2}{4\pi\epsilon_0(d)}
    2. -\frac{q^2}{4\pi\epsilon_0(2d)}
    3. -\frac{q^2}{4\pi\epsilon_0(4d)}
    4. -\frac{q^2}{4\pi\epsilon_0(6d)}

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