GATE Solid State Physics: free electron theory – Previous Year Questions

5 GATE previous year questions on free electron theory (Solid State Physics, Physics) with answers and explanations, from every paper.

GATE 2022 PH Q35 (1 mark, Numerical answer) – A plasma spectrometer covers 31012 to 301012 rad/s. The minimum detectable carrier density is n1021\ m-3. Find n to two decimals using e =1.610-19 C,…
GATE 2022 PH Q51 (2 marks, Multiple select) – Electronic heat capacity is C= T, where gamma relates to effective mass. Which statements are correct?
GATE 2026 PH Q63 (2 marks, Numerical answer) – Copper has an electron number density of 8.31028\ m-3. Its Fermi energy in eV (rounded off to one decimal place) is (=1.0610-34 J s, mass of electron…
GATE 2025 PH Q22 (1 mark, Multiple choice) – Consider one mole of a monovalent metal at absolute zero temperature, obeying the free electron model. Its Fermi energy is E F. The energy…
GATE 2024 PH Q16 (1 mark, Multiple choice) – Crystal structures of two metals A and B are two-dimensional square lattices with same lattice constant a. Electrons in metals behave as free…