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GATE Solid State Physics: lattice vibrations and thermal properties of solids – Previous Year Questions

6 GATE previous year questions on lattice vibrations and thermal properties of solids (Solid State Physics, Physics) with answers and explanations, from every paper.

  1. GATE 2022 PH Q43 (2 marks, Multiple choice) – In a two-dimensional square lattice, frequency ω of phonons in the long wavelength limit changes linearly with the wave vector k. Then the density of…
  2. GATE 2023 PH Q19 (1 mark, Multiple choice) – For a non-magnetic metal, which one of the following graphs best represents the behaviour of C T vs. T2, where C is the heat capacity and T is the…
  3. GATE 2023 PH Q46 (2 marks, Multiple choice) – In the first Brillouin zone of a rectangular lattice (lattice constants a= 6 Å and b= 4 Å), three incoming phonons with the same wave vector 〈1.2 Å−1,…
  4. GATE 2023 PH Q47 (2 marks, Multiple choice) – For ions of mass m, U(r)=-(r/r 0)e-r/r 0. What is the Einstein frequency in Hz?
  5. GATE 2025 PH Q34 (1 mark, Numerical answer) – Consider a monatomic chain of length 30 cm. The phonon density of states is 1.210-4 s. Assuming the Debye model, the velocity of sound in m/s (rounded…
  6. GATE 2024 PH Q54 (2 marks, Multiple select) – Apart from the acoustic modes, 9 optical modes are identified from the measurements of phonon dispersions of a solid with chemical formula AnBm, where…