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What are ferroelectric materials? Explain with the example of BaTiO3. How are they
different from piezoelectric materials?
What are transducers? Explain the working principle of a peizielectric transducer.
Explain the three types of defects in crystals.
Calculate the magnetic moment of Co Fe O4.
3
2
2+ +
Calculate the limiting value of the magnetic field for which Nb will act as a
superconductor at 4 K. Take Bac(0) as 1970 Oe and Tc for Nb to be 9.25 K.
Calculate the intrinsic carrier concentration for GaAs at 300 K, given that,
* 0.56 ; * 0.068 and 1.42
mh = me me = me Eg = eV.
Show that for a square lattice in two dimensions the kinetic energy of a free electron at a
corner of the first Brillouin zone is higher than that of an electron at the midpoint of a
side face of the zone by a factor of 2.
Aluminium has three valence electrons per atom, an atomic weight of 0.02698 kg mol−1,
a density of 2700kgm-3, and a conductivity of 3.54× 107 W−1m−1. Calculate the relaxation
time in Aluminium.
Derive an expression for the velocity of the transverse wave in the [100] direction in a
cubic crystal.
The Debye temperature for silver is 225 K. Calculate the highest possible frequency for
lattice vibrations in silver and its molar heat capacity at 10 K and 500 K.
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