The GATE Grind

GATE Physical Chemistry: Structure: Postulates of quantum mechanics. Operators. Commutation relations and expectations values; the role of the wave function and its absolute squares, time dependent and time independent Schrödinger equations. Born interpretation. Dirac bra-ket notation. Examples of model solvable quantum mechanical systems. – Previous Year Questions

5 GATE previous year questions on Structure: Postulates of quantum mechanics. Operators. Commutation relations and expectations values; the role of the wave function and its absolute squares, time dependent and time independent Schrödinger equations. Born interpretation. Dirac bra-ket notation. Examples of model solvable quantum mechanical systems. (Physical Chemistry, Chemistry) with answers and explanations, from every paper.

  1. GATE 2026 CY Q27 (1 mark, Multiple select) – For =x(a-x), with constant a, which statement(s) is/are correct?
  2. GATE 2026 CY Q61 (2 marks, Numerical answer) – Two atoms have spherical coordinates (1,/2,/2) and (1,/4,3/2), with distance in Å and angles in radians. Their separation in Å (two decimal places) is
  3. GATE 2025 CY Q28 (1 mark, Multiple select) – Two noninteracting particles are confined to a one-dimensional infinite box. Their wavefunctions are 1, 2 and energies E 1,E 2. The INCORRECT…
  4. GATE 2025 CY Q60 (2 marks, Numerical answer) – The kinetic energies of an electron (e) and a proton (p) are E and 3E, respectively. Given that mass of a proton is 1836 times that of an electron,…
  5. GATE 2024 CY Q63 (2 marks, Numerical answer) – 1 and 2 are normalized eigenfunctions of a Hermitian operator. =3i 1+2 2 and =-2i 1+5 2. The value of + is . (rounded off to the nearest integer)