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Solid State Physics
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The dependences of the magnetic susceptibility of a material with temperature (T) can be represented by   where θ is the Curie-Weiss temperature. The plot of magnetic susceptibility versus temperature is sketched in the figure, as curves P, Q and R with curve Q having θ = 0. Which one of the following statements is correct?
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In a crystal of N primitive cells, each cell contains two monovalent atoms. The highest occupied energy band of the crystal is

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For a closed packed bcc structure of hard spheres, the lattice constant a is related to the sphere radius R as

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Match the following and choose the correct combination:
Group 1 (Characteristic) Group 2 (Element)
P. Atomic configuration 1s2, 2s2 2p6, 3s2 3p6 1. Na
Q. Strongly electropositive 2. Si
R. Strongly electronegative 3. Ar
S. Covalent bonding 4. Cl

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Two dielectric materials A and B exhibit both ionic and orientational polarizabilities. The variation of their susceptibilities   with temperature T is shown in the figure, where is the relative dielectric constant. It can be inferred from the figure that
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If the static dielectric constant of NaCl crystal is 5.6 and its optical refractive index is 1.5, the ratio of its electric polarizability to its total polarizability is

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In an insulating solid which one of the following physical phenomena is consequence of Pauli's exclusion principle?

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The energy of a ferromagnet as a function of magnetization M is given by F(M) = F0 + 2(T - Tc) M2 + M4, F0 > 0
The number of minima in the function F(M) for T > Tc is

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A sample of silicon of thickness 200 μm is doped with 1023 phosphorus atoms per m3. If the sample is kept in a magnetic field of 0.2 Wb/m2 and a current of 1 mA is passed through the sample, the Hall voltage produced is

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