ABC26PH0303 · The ground state energies of H atom and H2 molecule -13.6 eV and -31.7 eV , respectively. The dissociation energy of H2 is ____ eV. · 2005-2021self-practice
ABC26PH0304 · e^-2 x2 is an eigen function on the operator (d2dx2-16 x2 ). The corresponding eigen value is · 2005-2021
ABC26PH0305 · The value of the magnetic quantum number of a px orbital is · 2005-2021
ABC26PH0306 · Suppose 1 and 2, are two hybrid orbitals: 1=0.12 3s+0.63 3px+0.77 3py and 2=0.12 3s-0.63 3px-0.77 3py The angle (in degrees) between them… · 2005-2021self-practice
ABC26PH0307 · When the operator, -2 d2 / dx2, operates on the function e-kx, the result is · 2005-2021
ABC26PH0309 · The difference in the ground state energies (kJ/mol) of an electron in one-dimensional boxes of lengths 0.2 nm and 2 nm is ____. · 2005-2021self-practice
ABC26PH0310 · The linear momentum of a particle described by the wavefunction e-ikx is · 2005-2021
ABC26PH0311 · The experimental ionization energies of hydrogen and helium atoms in their ground states are, respectively, 13.6 eV and 24.6 eV . The… · 2005-2021
ABC26PH0312 · A system is described by the following real wavefunction. The probability ( P ) of finding the particle in a region dx around points I, II… · 2005-2021
ABC26PH0313 · For ortho-hydrogen, the nuclear wavefunction and the rotational quantum number, respectively, are · 2005-2021
ABC26PH0314 · The wavelength associated with a particle in one - dimensional box of length L is ( n referes to the quantum number) · 2005-2021
ABC26PH0315 · The lowest energy of a quantum mechanical one-dimensional simple harmonic oscillator is 300\,cm-1. The energy (in cm-1) of the next higher… · 2005-2021self-practice
ABC26PH0316 · Assume 1,3,5-hexatriene to be a linear molecule and model the pi electrons as particles in a one-dimensional box of length 0.70 nm . The… · 2005-2021self-practice
ABC26PH0317 · The angle of orientation (in degrees) of the angular momentum vector with respect to z-axis for l=2 and m=+2 state of H-atom is ____ (up to… · 2005-2021self-practice
ABC26PH0318 · = [c 1-(1-√(3)) 2 ] represents a normalized molecular orbital constructed from two different atomic orbitals 1 and 2 that form an… · 2005-2021self-practice
ABC26PH0319 · The spherical harmonic function Y, m( theta , phi ) with appropriate values of and m , is an eigenfunction of Lx2+Ly2 operator. The… · 2005-2021
ABC26PH0320 · Consider the operators, a+=1√(2) (x+ipx ) and a-=1√(2) (x-ipx ), where x and px are the position and linear momentum operators… · 2005-2021self-practice
ABC26PH0321 · The enrgy of a hydrogen molecule in its ground state equilbrium configuration is -31.7 eV . Its dissociation energy is ____ eV(Upto one… · 2005-2021self-practice
ABC26PH0322 · In a molecule XY , let and denote normalized atomic orbitals of atoms X and Y , respectively. A normalized molecular orbital of XY is given… · 2005-2021self-practice
ABC26PH0323 · At temperature T , the canonical partition function of a harmonic oscillator with fundamental frequency ( v ) is given by qvib(T) e^-hv / 2… · 2005-2021self-practice
ABC26PH0324 · A one-dimensional anharmonic oscillator is treated by perturbation theory. The harmonic oscillator is used as the unperturbed system and… · 2005-2021self-practice
ABC26PH0325 · The pi electrons in benzene can be modelled as particles in a ring that follow Pauli's exclusion principle. Given that the radius of… · 2005-2021self-practice
ABC26PH0326 · Suppose the wave function of a one dimensional system is = (kx) (3 ikx) In an experiment measuring the momentum of the system, one of the… · 2005-2021self-practice
ABC26PH0327 · A particle in one dimensional box of length 2a with potential energy V=cases 0 & |x|<a \\ & |x|>a cases is perturbed by the potential… · 2005-2021self-practice
ABC26PH0328 · If alpha | Sx Sy-Sy Sx| alpha =i 2 a, where Sx and Sy are spin angular momentum operators and | alpha is spin up eigen function, then the… · 2005-2021self-practice
ABC26PH0329 · Consider a two dimensional harmonic oscillator with angular frequency =2 =6.5 1014 rad s-1. The wavelength of x polarized light required… · 2005-2021self-practice
ABC26PH0330 · Among the following linear combination of atomic orbitals, the CORRECT representation of the lowest unoccupied pi -molecular orbital of… · 2005-2021
ABC26PH0331 · The hydrogen-like radial wave function of the 3s orbital is given as R3,0=19√(3) (Za0 )3/2 (6-2+29 ) e-/6 where =2Zr/a0; Z = atomic number… · 2005-2021self-practice
ABC26PH0332 · The \% error (rounded off to two decimal places) in the ground state energy of a particle in a one dimensional box of length 'a' described… · 2005-2021self-practice
ABC26PH0333 · The de Broglie wavelength of an argon atom ( mass =40 amu ) traveling at a speed of 250 m s-1 (rounded off to one decmial place) is ____… · 2005-2021self-practice
ABC26PH0334 · Acceptable wavefunction for a quantum particle must be; · 2005-2021self-practice