Quantum Chemistry
125 questions in this chapter, page 1 of 3.
Study loop for Quantum Chemistry
1. Practise the PYQsPrevious-year questions, with answers
Angular Momentum
ABC26PH0776 · If the electron were spin 3/2 particles, instead of spin 1/2, then the number of electrons that can be accomodated in a level are · 2001-2022 self-practice
ABC26PH1208 · For a H2 molecule, the ground state wave function is psi 1,2 = phi 1,2 sigma (1, 2) where phi refers to the space part and sigma to the… · JUNE 2011 self-practice
ABC26PH1223 · For H2 molecule in the excited state sigma g1 sigma u1 spin part of the triplet state with mS = 0 is proportional to · JUNE 2012 self-practice
ABC26PH0149 · The angular momentum operator Ly · 2013
ABC26PH1256 · The spatial part of the wave function of the atom in its ground state is 1s(1)1s(2). The spin part would be · JUNE 2014 self-practice
ABC26PH1260 · The operators S_± are defined by S_± = Sx ± iSy where Sx and Sy are components of the spin angular momentum operator. The commutator [Sx… · JUNE 2014 self-practice
ABC26PH1282 · The simultaneous eigen functions of angular momentum operators L2 and Lz are · JUNE 2016 self-practice
ABC26PH1313 · A satisfactory spin wave function for an excited helium atom is · JUNE 2016 self-practice
Harmonic Oscillator
ABC26PH1229 · Suppose, the ground stationary state of a harmonic oscillator with force constant 'k' is given by psi 0 = exp [-Ax2] Then, A should depend… · DEC 2012 self-practice
ABC26PH1230 · The energy of a harmonic oscillator in its ground state is 1/2 h omega '. According to the virial theorem, the average kinetic (T) and… · DEC 2012 self-practice
ABC26PH0147 · Consider a two-dimensional harmonic oscillator with potential energy V(x, y) = 1/2kx x2 + 1/2ky y2 If psi nx(x) and psi ny(y) are the… · 2013
ABC26PH0155 · A particle in a one dimensional harmonic oscillator in x-direction is perturbed by a potential lambda x (lambda is number). The first-order… · 2014
ABC26PH1255 · A particle in a one dimensional harmonic oscillator in x-direction is perturbed by a potential lambda x (lambda is number). The first-order… · JUNE 2014 self-practice
ABC26PH1298 · The correct statement about the symmetry of the eigenfunctions of a quantum of 1-D harmonic oscillator is · JUNE 2016 self-practice
Huckel MO Theory
ABC26PH0137 · Using Hückel molecular orbital approximation, the two roots of secular equation of ethene are · 2012
ABC26PH1228 · One molecular orbital of a polar molecule AB has the form cA psi A + cB psi B, where psi A and psi B are normalized atomic orbital's… · DEC 2012 self-practice
ABC26PH0144 · Identify the Huckel determinant for cyclobutadiene · 2013
ABC26PH0150 · The energy for a single electron excitation in cyclopropenium cation in Hückel theory is · 2013
ABC26PH1247 · The energy for a single electron excitation in cyclopropenium cation in Huckel theory is · DEC 2013 self-practice
ABC26PH0169 · The electronic transition energy from pi 1 → pi 2 in propenyl radical is 4.8 eV. Within the framework of Huckel theory, the transitions… · 2017
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… · JUNE 2016 self-practice
Hydrogen Atom
ABC26PH1209 · A hydrogenic orbital with radial function of the form r alpha exp [- beta r] and phi -part as exp [-3 i phi] corresponds to · JUNE 2011 self-practice
ABC26PH1217 · For hydrogen-like atom with a nuclear charge Z, the energy of orbital with principal quantum number 'n' follows the relation. · JUNE 2012 self-practice
ABC26PH0134 · The average value of the radius r in the 1s state of the hydrogen atom is (a0 is Bohr radius) · 2012 self-practice
ABC26PH1218 · The average value of the radius r in the 1s state of the hydrogen atom is (a0 is Bohr radius) · JUNE 2012 self-practice
ABC26PH1236 · The hydrogenic orbital with the form of the radial function r2(alpha 1 - r)(alpha 2 - r)exp [- beta r] where a1, a2 and b are constants… · JUNE 2013 self-practice
ABC26PH0146 · The orbital with two radial and two angular nodes is · 2013
ABC26PH0148 · The most probable value of 'r' for an electron in 1s orbital of hydrogen atom is · 2013
ABC26PH1245 · The most probable value of 'r' for an electron in 1s orbital of hydrogen atom is 46. The angular momentum operator Ly · DEC 2013 self-practice
ABC26PH1283 · The ionization energy of hydrogen atom in its ground state is approximately 13.6 eV. The potential energy of He^+, in its ground state is… · JUNE 2016 self-practice
ABC26PH1284 · In simple molecular orbital theory of hydrogen molecule, bonding sigma g and anti-bonding sigma u molecular orbitals are constructed as… · JUNE 2016 self-practice
ABC26PH0166 · The correct normalized wave function for one of the sp2 hybrid orbitals is · 2016
ABC26PH1285 · The correct normalized wave function for one of the sp2 hybrid orbitals is · JUNE 2016 self-practice
ABC26PH1286 · The orbital degeneracy of the level of a one-electron atomic system with Z=5 and energy =-13.6 eV, is · JUNE 2016 self-practice
ABC26PH1289 · The spatial part of an excited state b 3 Sigma u^+ of hydrogen molecule is proportional to [1 sigma g(1) sigma u(2) - 1 sigma g(2) sigma… · JUNE 2016 self-practice
ABC26PH1292 · The two limiting wave functions of the ground state of H2^+ molecular ion, as the internuclear separation R goes to (i) ∞ (infinity) and… · JUNE 2016 self-practice
ABC26PH0167 · The number of degenerate spatial orbitals of a hydrogen-like atom with principal quantum number n = 6 is · 2017
ABC26PH1295 · The number of degenerate spatial orbitals of a hydrogen-like atom with principal quantum number n = 6 is · JUNE 2016 self-practice
Particle In A Box
ABC26PH0772 · The wavelength for a particle (moving in a ring) is (2 pi)-1 / 2 exp (2 i phi), where phi is the polar angle. The probability of finding… · 2001-2022
ABC26PH0773 · (a) The electronic wavefunction (psi) for hydrogen atom in the 2s state is given as psi ∝ (2 - r/(a0))exp (-r/(2a0)) Determine the most… · 2001-2022 self-practice
ABC26PH0777 · For a particle in a cubic box, the total number of quantum number needed to specify its state are · 2001-2022 self-practice
ABC26PH1211 · A particle is constrained in a one dimensional box of length 2a with potential V(x) = ∞; x < -a, x > a and V(x) = 0; -a ≤ x ≤ a. Energy… · DEC 2011 self-practice
ABC26PH0135 · The probability of finding the particle in a one dimensional box of length 'L' in the region between L/4 and 3L/4 for quantum number n = 1… · 2012
ABC26PH1219 · The probability of finding the particle in a one dimensional box of length 'L' in the region between L/4 and 3L/4 for quantum number n = 1… · JUNE 2012 self-practice