143 questions from this paper that are in the bank. Each opens with its answer and explanation.
ABC26PH1289 · The spatial part of an excited state b3 Sigma u+of hydrogen molecule is proportional to [1 sigma g(1) sigma u(2)-1 sigma g(2) sigma u(1)]… · Hydrogen Atom
ABC26PH1290 · Consider a particle in its ground state confined to a one-dimensional box in the interval (0, ∞). The probability of finding it between… · Quantum Chemistry – General
ABC26PH1291 · Which of the functions below is a common eigenfunction of d/dx and d2/dx2 operators? · Postulates Operators
ABC26PH1292 · The two limiting wave functions of the ground state of H 2+ molecular ion, as the internuclear separation R goes to (i) ∞ (infinity) and… · Hydrogen Atom
ABC26PH1293 · The un-normalized radial wave function of a certain hydrogen atom eigenstate is (6 Rr-r2) exp (-r / 3). A possible angular part of the… · Hydrogen Atom
ABC26PH1294 · Given a trial wave function psi =C1 phi 1+C2 phi 2 and the Hamiltonian matrix elements. ∫ phi 1* H phi 1 dv=0, ∫ phi 1* H phi 2 dv=2.5, ∫… · Variation Method
ABC26PH1295 · The number of degenerate spatial orbitals of a hydrogen-like atom with principal quantum number n=6 is · Hydrogen Atom
ABC26PH1296 · If [A, B]=0 and [A, C]=0, then which of the following necessarily holds: [A, B and C are operators] · Postulates Operators
ABC26PH1297 · The correct statement among the following is (A is a hermitian operator) · Postulates Operators
ABC26PH1298 · The correct statement about the symmetry of the eigenfunctions of a quantum of 1-D harmonic oscillator is · Harmonic Oscillator
ABC26PH1299 · The correct statement about the difference of second and first excited state energies (Delta E) of a particle in 1-D, 2-D square and 3-D… · Quantum Chemistry – General
ABC26PH1300 · A one-dimensional quantum harmonic oscillator is perturbed by a potential. The first order correction to the energy for the ground state… · Harmonic Oscillator
ABC26PH1301 · The electronic transition energy from pi 1 → pi 2 in propenyl radical is 4.8 eV. Within the framework of Huckel theory, the transitions… · Huckel MO Theory
ABC26PH1302 · The transition moment integral for a rotational transition between J=1; MJ=0 and J=2; MJ=0 states for a diatomic molecule along the z-axis… · Quantum Chemistry – General
ABC26PH1303 · One of the correct normalized sp2 hybridorbitals is · Hydrogen Atom
ABC26PH1304 · Which of these is not a suitable unnormalized wave function for the excited 1s 2s electron configuration of the helium atom ? · Quantum Chemistry – General
ABC26PH1305 · Two opposite sides (in the y direction) of a square box of side L are slightly stretched. Consider the following four statements: A. The… · Quantum Chemistry – General
ABC26PH1306 · Consider a model system of five non interacting fermions in a single 3-dimensional harmonic oscillator. The Hamiltonian of a single… · Harmonic Oscillator
ABC26PH1307 · A particle is in a state phi = psi 1+3 psi 2 where psi 1 and psi 2 are eigenfunctions of the Hamiltonian of the particle with eigenvalues… · Postulates Operators
ABC26PH1308 · Which of the following statements on ground state perturbation theory, involving the zeroth order energy E0(0), first order energy… · Perturbation Theory
ABC26PH1309 · The commutator of x with the Hamiltonian H.[x, H] is · Postulates Operators
ABC26PH1310 · The lowest energy unnormalized wave function of H2+molecule is (r1. and r2 are the distances between the electron and nuclei 1 and 2… · Quantum Chemistry – General
ABC26PH1311 · For a particle of mass m in a one-dimensional box of length 2 L, the energy of the level corresponding to n=8 is · Particle In A Box
ABC26PH1312 · The energy functional from a trial wave function is E(alpha)= (alpha 3-3 alpha) / 6. The variationally optimized energy is · Variation Method
ABC26PH1313 · A satisfactory spin wave function for an excited helium atom is · Angular Momentum
ABC26PH1314 · The highest energy pi -molecular orbital for the allyl system is · Huckel MO Theory
ABC26PH1315 · An unnormalized wave function of the hydrogen atom is given by r2 er / 3 (3 cos 2 theta -1). The three quantum numbers, n, 1and m… · Hydrogen Atom
ABC26PH1316 · The hydrogen atomic orbital given by Nr2 e^(-r)/3a0 (3cos 2 theta -1) represents · Hydrogen Atom
ABC26PH1317 · The degeneracy of the state having energy 27 h2/8 mL2 for a particle in a 3-D cubic box of length L is · Particle In A Box
ABC26PH1318 · The spatial part of the dominant resonance structure of the LiH molecule is (only valance part of the wave function is shown). · Quantum Chemistry – General
ABC26PH1319 · The function, which is NOT an eigenfunction of the indicated operator, is · Postulates Operators
ABC26PH1348 · In a cubic crystal, the plane [100] is equally inclined to the planes · Solid State Chemistry – General
ABC26PH1349 · For a simple cubic lattice, the ratio between the unit cell length and the separation of two adjacent parallel crystal planes can NOT have… · Crystal Systems Lattices
ABC26PH1394 · The single - partition translational partition function (f) for an ideal gas in a fixed volume V depends on the thermal Broglie wave… · Partition Functions
ABC26PH1430 · Adsorbtion isotherm of three gases A, B, C are shown in the following figure, where theta is the percentage of surface coverage. The… · Surface Chemistry – General
ABC26PH1434 · When river water containing colloidal clay flows into the sea, the major cause of silting is · Colloids Micelles
ABC26PH1486 · ((∂ H)/(∂ P))T has the dimension of · Thermodynamics – General
ABC26PH1487 · For an ideal gas at 300 K · Thermodynamics – General
ABC26PH1488 · Phase diagram of a compound is shown below The slopes of the lines OA, AC and AB are tan (pi)/4, tan (pi)/6 and tan (pi)/3 respectively. If… · Phase Equilibria
ABC26PH1489 · The figure below describes how a Carnot engine works. It starts from the adiabatic compression step denoted by · Thermodynamics – General
ABC26PH1490 · If U is a function of V and T, ((∂ U)/(∂ T))P is equal to (pi and alpha are the internal pressure and the coefficient of thermal expansion… · Thermodynamics – General
ABC26OR1090 · In the following compound, the stereochemical descriptor for Ha and Hb is · Stereochemistry – General
ABC26OR1104 · At pH 10, tryptophan exists as · Natural Products – General