Quantum Chemistry

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

ABC26PH0171 · One of the correct normalized sp2 hybridorbitals is · 2018

ABC26PH1303 · One of the correct normalized sp2 hybrid orbitals is · JUNE 2016 self-practice

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… · JUNE 2016 self-practice

ABC26PH0175 · The hydrogen atomic orbital given by N r2 e^(-r)/3 a0 (3 cos 2 theta -1) represents · 2019

ABC26PH1316 · The hydrogen atomic orbital given by Nr2 e^(-r)/3a0 (3cos 2 theta -1) represents · JUNE 2016 self-practice

ABC26PH0181 · For an electron in 1s orbital of He+, the average value of r, r is · 2020

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

ABC26PH0136 · A particle in three dimensional cubic box of length L has energy of (14h2)/(8mL2) The degeneracy of the state is · 2012 self-practice

ABC26PH1220 · A particle in three dimensional cubic box of length L has energy of (14h2)/(8mL2). The degeneracy of the state is · JUNE 2012 self-practice

ABC26PH0790 · For a particle in one-dimensional box of length L with potential energy V(x) = 0 for L > x > 0 and V(x) = ∞ for x ≥ L and x ≤ 0 an… · 2001-2022 self-practice

ABC26PH1244 · Consider a particle in a one dimensional box of length 'a' with the following potential V(x)= omega x<0 V(x)= omega x>a V(x)=0 0 ≤ x ≤ a /… · DEC 2013 self-practice

ABC26PH0156 · For a particle of mass m confined in a box of length L, assume Delta x=L. Assume further that Delta p(min)= p21/2. Use the uncertainity… · 2014

ABC26PH0158 · A particle in a 1-dimensional box of length L is perturbed by a delta function potential, delta (x - L/2), in the middle of the box. The… · 2014

ABC26PH0164 · Average value of momentum for the ground state of a particle in a 1-d box is zero because · 2016

ABC26PH1280 · Average value of momentum for the ground state of a particle in a 1-d box is zero because · JUNE 2016 self-practice

ABC26PH1311 · For a particle of mass m in a one-dimensional box of length 2L, the energy of the level corresponding to n = 8 is · JUNE 2016 self-practice

ABC26PH1317 · The degeneracy of the state having energy (27h2)/(8mL2) for a particle in a 3-D cubic box of length L is · JUNE 2016 self-practice

ABC26PH1204 · The unperturbed energy levels of a system are varepsilon 0=0, varepsilon 1=2 and varepsilon 2=4. The second order correction to energy for… · JUNE 2011 self-practice

ABC26PH1214 · For non-degenerate perturbation theory for ground state, with E0(0) as zeroth order energy, E0(1) as the first-order perturbation… · DEC 2011 self-practice

ABC26PH1221 · The following are the three statements about perturbation theory (A) Second order perturbation correction to the ground state energy is… · JUNE 2012 self-practice

ABC26PH1274 · A certain 2-level system has stationary state energies E1 and E2 (E1<E2) with normalized wave functions phi 1 and phi 2 respectively. In… · JUNE 2014 self-practice

ABC26PH1308 · Which of the following statements on ground state perturbation theory, involving the zeroth order energy E0(0), first order energy… · JUNE 2016 self-practice

ABC26PH0180 · Consider a particle on a ring that is perturbed by interacting with an applied electric field (E) with the perturbation being H'= mu E cos… · 2020 self-practice

ABC26PH1202 · A constant of motion is defined by the equation: · JUNE 2011 self-practice

ABC26PH0129 · The hermitian conjugate of operator d / d x, called (d / d x), is actually equal to · JUNE 2011

ABC26PH0132 · An operator A is defined as A=-d/d x+x. Which one of the following statements is true? · JUNE 2011

ABC26PH1207 · An operator A is defined as A=-d / dx+x. Which one of the following statements is true? · JUNE 2011 self-practice

ABC26PH0133 · Identify which of the following operators is not hermitian? · 2011

ABC26PH1210 · Identify which of the following operators is not hermitian? · DEC 2011 self-practice

ABC26PH0781 · If psi is the eigenfunction to the Hamiltonian operator with alpha as the eigenvalue, then alpha MUST be · 2001-2022 self-practice

ABC26PH1212 · For the eigen states of the hydrogen atom, which of the following relations between the expectation value of kinetic energy (T) and… · DEC 2011 self-practice

ABC26PH1216 · For any operator A and its adjoint A, the INCORRECT statement is: · JUNE 2012 self-practice

ABC26PH0138 · If A and B are non-commuting hermitian operators, all eigenvalues of the operator given by the commutator [A, B] are · 2012

ABC26PH1224 · If A and B are non-commuting Hermitian operators, all eigenvalues of the operator given by the commutator [A, B] are · DEC 2012 self-practice

ABC26PH0139 · The value of commutator [x, px2] is given by · 2012 self-practice

ABC26PH1225 · The value of commutator [x, px2] is given by · DEC 2012 self-practice

ABC26PH0795 · The potential for a particle in a one-dimensional box is given as: V(x) = 0 for 0 ≤ x ≤ L, and V(x) = ∞ elsewhere. The locations of the… · 2001-2022 self-practice

ABC26PH1237 · The operator [x, [x, p2]] is identical with · JUNE 2013 self-practice

ABC26PH1243 · The quantum mechanical virial theorem for a general potential V(x, y, z) is given by (∂ v)/(∂ x)+y (∂ v)/(∂ y)+z (∂ v)/(∂ z) where T is the… · DEC 2013 self-practice

ABC26PH0151 · The commutator of the kinetic energy operator, Tx and the momentum operator, px for the one-dimensional case is · 2014

ABC26PH1248 · The commutator of the kinetic energy operator, Tx and the momentum operator, px for the one-dimensional case is · JUNE 2014 self-practice

ABC26PH1251 · The ground state energy of hydrogen atom is -13.598 eV. The expectation values of kinetic energy, <T> and potential energy,, in units of… · JUNE 2014 self-practice

ABC26PH1269 · The value of the commutator [x, [x, px]] is · JUNE 2014 self-practice