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Solid State Physics Mock Tests

20 questions available

Solid State Physics Mock Test 1

Questions: 20

नमूना प्रश्न

GATE Physics
The first Brillouin zone of a simple cubic lattice with lattice constant a is:
A A cube of side 2π/a centered at the origin
B A sphere of radius 2π/a
C A cube of side π/a
D A tetrahedron
GATE Physics
In the nearly free electron model, an energy gap opens at the Brillouin zone boundary because:
A Bragg reflection of electron waves by the periodic lattice potential
B electron-electron Coulomb repulsion
C spin-orbit coupling
D phonon scattering
GATE Physics
The first Brillouin zone of a simple cubic lattice with lattice constant a is:
A a cube of side 2π/a centered at the origin
B a cube of side π/a centered at the origin
C a sphere of radius π/a
D an octahedron
GATE Physics
In BCS theory of superconductivity, Cooper pairs are formed due to:
A Electron-phonon interactions
B Electron-electron Coulomb repulsion
C Magnetic field effects
D Spin-orbit coupling
GATE Physics
The Hall coefficient R_H for a metal with only electrons in the conduction band is:
A -1/(nen)
B +1/(nen)
C -ne
D +ne
GATE Physics
In the Drude model, the electrical conductivity σ of a metal is given by:
A mne²τ/V
B ne²τ/m
C m/(ne²τ)
D neτ/m
GATE Physics
The Debye T³ law for the specific heat of a 3D insulating crystal at low T arises from:
A 3 acoustic phonon branches with linear dispersion
B optical phonon modes
C electronic contributions
D 3 acoustic branches with quadratic dispersion
GATE Physics
The packing fraction of a face-centered cubic (FCC) lattice is:
A π/(3√2) ≈ 0.74
B π/√18 ≈ 0.68
C π/6 ≈ 0.52
D π/(2√3) ≈ 0.91

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