GATE Quantum Mechanics: orbital and spin angular momenta – Previous Year Questions
8 GATE previous year questions on orbital and spin angular momenta (Quantum Mechanics, Physics) with answers and explanations, from every paper.
- GATE 2022 PH Q23 – Which identities hold for Pauli spin matrices?
- GATE 2023 PH Q15 – H is the Hamiltonian and L,L z are orbital angular momentum and its z component. The hydrogen 1s state is an eigenfunction of which set?
- GATE 2023 PH Q25 – An atom with non-zero magnetic moment has an angular momentum of magnitude √12 ħ. When a beam of such atoms is passed through a Stern- Gerlach…
- GATE 2023 PH Q33 – In the vector model of angular momentum applied to atoms, what is the minimum angle in degrees (in integer) made by the orbital angular momentum…
- GATE 2023 PH Q49 – A particle has (x,y,z)=Nz e-(x2+y2+z2) with positive alpha. Which are the eigenvalues of L2,L z? Given Y 00=1/4, Y 10=3/(4) and Y 11=3/(8) e i.
- GATE 2023 PH Q53 – A spin-half particle is spin up along x. What is the probability for spin up along an axis in the xy plane at angle theta to x?
- GATE 2026 PH Q37 – Consider the Pauli matrices x=pmatrix0&1\\1&0pmatrix, y=pmatrix0&-i\&0pmatrix, z=pmatrix1&0\\0&-1pmatrix. The value of Tr( z[ x, y]) is
- GATE 2025 PH Q45 – An electron of mass m and charge q is initially spin up, pmatrix1\\0pmatrix. A constant field B=B 0 j is applied. The Hamiltonian is H=- y, where =qB…