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 +of hydrogen molecule is proportional to [1 (1) (2)-1 (2) (1) ]. Using LCAO-MO expansion of 1 and 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 d2dx2 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 (ii)… · Hydrogen Atom
ABC26PH1293 · The un-normalized radial wave function of a certain hydrogen atom eigenstate is (6 Rr-r2 ) (-r / 3). A possible angular part of the eigen… · Hydrogen Atom
ABC26PH1294 · Given a trial wave function =C1 1+C2 2 and the Hamiltonian matrix elements. 1* H 1 dv=0, 1* H 2 dv=2.5, 2* H 2 dv=12.0 the variationally… · 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 1 2 in propenyl radical is 4.8 eV . Within the framework of Huckel theory, the transitions energy… · 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… · 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 =1+3 2 where 1 and 2 are eigenfunctions of the Hamiltonian of the particle with eigenvalues E1 and E2… · 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 2 theta -1 ). The three quantum numbers, n, 1and m, associated… · Hydrogen Atom
ABC26PH1316 · The hydrogen atomic orbital given by Nr2 e^-r3a0 (32 theta -1 ) represents · Hydrogen Atom
ABC26PH1317 · The degeneracy of the state having energy 27 h28 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 ( pi )/4, ( pi )/6 and ( 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 · Goc & Stereochemistry – General
ABC26OR1104 · At pH 10, tryptophan exists as · Natural Products – General