The lattice specific heat C of a crystalline solid can be obtained using. the Dulong-Petit model, Einstein model and Debye model. At low temperature hω ≫ kBT, which one of the following statements is true? (a and A are constants)
A. Dulong-Petit: $$C \propto \exp \left( {\frac{{ - a}}{T}} \right)$$ ; Einstein: C = constant; Debye: $$C \propto {\left( {\frac{T}{A}} \right)^3}$$
B. Dulong-Petit: C = constant; Einstein: $$C \propto {\left( {\frac{T}{A}} \right)^3}$$ ; Debye: $$C \propto \exp \left( {\frac{{ - a}}{T}} \right)$$
C. Dulong-Petit: C = constant; Einstein: $$C \propto \frac{{{e^{ - a/T}}}}{{{T^2}}}$$ ; Debye: $$C \propto {\left( {\frac{T}{A}} \right)^3}$$
D. Dulong-Petit: $$C \propto {\left( {\frac{T}{A}} \right)^3}$$ ; Einstein: $$C \propto \frac{{{e^{ - a/T}}}}{{{T^2}}}$$ ; Debye: C = constant
Answer: Option C
This Question Belongs to Engineering Physics >> Solid State Physics
The valence electrons do not directly determine the following property of a metal
A. electrical conductivity
B. thermal conductivity
C. shear modulus
D. metallic lustre
A. $${\left( {\frac{{2Q}}{P}} \right)^{ - 6}}$$
B. $${\left( {\frac{Q}{P}} \right)^{ - 6}}$$
C. $${\left( {\frac{P}{{2Q}}} \right)^{ - 6}}$$
D. $${\left( {\frac{P}{Q}} \right)^{ - 6}}$$
A. $$N\mu \coth \left( {\frac{{\mu B}}{{{k_B}T}}} \right)$$
B. $$N\mu \tanh \left( {\frac{{\mu B}}{{{k_B}T}}} \right)$$
C. $$N\mu \sinh \left( {\frac{{\mu B}}{{{k_B}T}}} \right)$$
D. $$N\mu \cosh \left( {\frac{{\mu B}}{{{k_B}T}}} \right)$$
A. $$\sqrt {2C\left( {\frac{1}{{{M_1}}} + \frac{1}{{{M_2}}}} \right)} $$
B. $$\sqrt {C\left( {\frac{1}{{2{M_1}}} + \frac{1}{{{M_2}}}} \right)} $$
C. $$\sqrt {C\left( {\frac{1}{{{M_1}}} + \frac{1}{{2{M_2}}}} \right)} $$
D. zero
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