ABC26PH1231 · The energy of a hydrogen atom in a state is -hc RH25 (RH=R y d b e r g . constant ). The degeneracy of the state will be · DEC 2012self-practice
ABC26PH1236 · The hydrogenic orbital with the form of the radial function r2 (1-r ) (2-r ) [- beta r] where a1, a2 and b are constants, may be identified… · JUNE 2013self-practice
ABC26PH0146 · The orbital with two radial and two angular nodes is · 2013
ABC26PH1241 · The orbital with two radial and two angular nodes is · DEC 2013self-practice
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 · DEC 2013self-practice
ABC26PH1263 · A Slater determinant corresponding to the ionic part of the ground state valence bond wave function of H2 molecule is (1 sa alpha , 1 sa… · JUNE 2014self-practice
ABC26PH1273 · sp hybrid orbitals are of the form C1 2 s+C2 2 pz (2 s . and 2 pz are normalised individually). The coefficients of the normalized form of… · JUNE 2014self-practice
ABC26PH1275 · The radial part of a hydrogenic wave function is given as r( alpha -r) e- beta r ( alpha , beta are constants). This function is then… · JUNE 2014self-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 2016self-practice
ABC26PH1284 · In simple molecular orbital theory of hydrogen molecule, bonding and anti-bonding molecular orbitals are constructed as linear combinations… · JUNE 2016self-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 2016self-practice
ABC26PH1286 · The orbital degeneracy of the level of a one-electron atomic system with Z=5 and energy =-13.6 eV, is · JUNE 2016self-practice
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… · JUNE 2016self-practice
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)… · JUNE 2016self-practice
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… · JUNE 2016self-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 2016self-practice
ABC26PH0171 · One of the correct normalized sp2 hybridorbitals is · 2018
ABC26PH1303 · One of the correct normalized sp2 hybridorbitals is · JUNE 2016self-practice
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… · JUNE 2016self-practice
ABC26PH0175 · The hydrogen atomic orbital given by N r2 e^-r3 a0 (3 2 theta -1 ) represents · 2019
ABC26PH1316 · The hydrogen atomic orbital given by Nr2 e^-r3a0 (32 theta -1 ) represents · JUNE 2016self-practice
ABC26PH0181 · For an electron in 1s orbital of He+, the average value of r, r is Options: · 2020
Particle In A Box
ABC26PH0771 · Use the time-independent Schrodinger equation to calculate the energy of a particle of mass "m" with V=0 in the state =8a3 ( pi x)/a ( pi… · 2001-2022self-practice
ABC26PH0772 · The wavelength for a particle (moving in a ring) is (2 pi )-1 / 2 (2 i phi ), where phi is the polar angle. The probability of finding the… · 2001-2022
ABC26PH0773 · (a) The electronic wavefunction () for hydrogen atom in the 2 s state is given as (2-ra0 ) (-r2 a0 ) Determine the most probable radial… · 2001-2022self-practice
ABC26PH0777 · For a particle in a cubic box, the total number of quantum number needed to specify its state are · 2001-2022self-practice
ABC26PH0778 · Using Heisenberg's uncertainty principle, derive an expression for the approximate ground state energy of a particular of mass m in a one… · 2001-2022self-practice
ABC26PH1211 · A particle is constrained in a one dimensional box of length 2 a with potential V(x)= ; x<-a, x>a and V(x)=0 ;-a x a. Energy difference… · DEC 2011self-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 is: · 2012
ABC26PH1219 · The probability of finding the particle in a one dimensional box of length 'L' in the region between L/4 and 3 L/4 for quantum number n=1 is · JUNE 2012self-practice
ABC26PH0136 · A particle in three dimensional cubic box of length L has energy of 14h28mL2. The degeneracy of the state is · 2012self-practice
ABC26PH1220 · A particle in three dimensional cubic box of length L has energy of 14 h28 mL2. The degeneracy of the state is · JUNE 2012self-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 acceptable wave… · 2001-2022self-practice
ABC26PH1244 · Consider a particle in a one dimensional box of length 'a' with the following potential arrayll V(x)= omega & x<0 V(x)= omega & x>a V(x)=0… · DEC 2013self-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
ABC26PH1257 · For a particle of mass m confined in a box of length L, assume Delta x=L. Assume further that Delta p( )= 2 1 / 2. Use the uncertainity… · JUNE 2014self-practice
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
ABC26PH1259 · 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… · JUNE 2014self-practice
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 2016self-practice
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 · JUNE 2016self-practice
ABC26PH1317 · The degeneracy of the state having energy 27 h28 mL2 for a particle in a 3-D cubic box of length L is · JUNE 2016self-practice
Perturbation Theory
ABC26PH1204 · The unperturbed energy levels of a system are 0=0, 1=2 and 2=4. The second order correction to energy for the ground state in pressure of… · JUNE 2011self-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 2011self-practice
ABC26PH1221 · The following are the three statements about perturbation theory (A) Second order perturbation correction to the ground state energy is… · JUNE 2012self-practice
ABC26PH1274 · A certain 2-level system has stationary state energies E1 and E2 (E1<E2 ) with normalized wave functions 1 and 2 respectively. In the… · JUNE 2014self-practice
ABC26PH1288 · The ground state of a certain system with energy 0, is subjected to a perturbation V , yielding a first order correction 1. If E0 is the… · JUNE 2016self-practice