Atomic Structure
49 questions in this chapter.
Study loop for Atomic Structure
1. Practise the PYQsPrevious-year questions, with answers
Atomic Structure – General
ABC26PH0263 · The function eax2 (alpha > 0) is not an acceptable wave function for bound system, because · 2005-2021
ABC26PH0265 · The 2 s orbital of H - atom has radial node at 2 a0 because psi 2 s is proportional to · 2005-2021
ABC26PH0266 · As per Huckel theory, pi –electron energy levels of cyclobutadiene are · 2005-2021
ABC26PH0270 · To demonstrate the variational principle, a trial function psi =C1 (psi 2 s+ psi 3 s)/(√(2))+C2 (psi 2 s- psi 3 s)/(√(2)) where C1 and C2… · 2005-2021
ABC26PH0636 · Given that the radius of the first Bohr orbit of hydrogen atom is 53 pm, the radius of its third Bohr orbit is ____ pm. (Round off to the… · 2001-2022 self-practice
ABC26PH0272 · The first excited state wavefunction for a particle in a box that spans from –a to +a is · 2005-2021
ABC26PH0273 · A perturbation V = delta (x - a/2) is introduced in the box. The first order energy correction to the first excited state is. · 2005-2021
ABC26PH0639 · The ratio of the 2 p → 1 s transition energy in He+to that in the H atom is closest to · 2001-2022 self-practice
ABC26PH0275 · For a homonuclear diatomic molecule, the bonding molecular orbital is · 2005-2021
ABC26PH0276 · The ionisation potential of hydrogen atom is 13.6 eV. The first ionisation potential of a sodium atom, assuming that the energy of its… · 2005-2021
ABC26PH0280 · The lifetime of a molecule in an excited electronic state is 10-10 s. The uncertainty in the energy (eV) approximately is · 2005-2021
ABC26PH0281 · The wavefunction of a diatomic molecule has the form psi =0.89 phi covalent+0.45 phi ionic. The chance that both electrons of the bond will… · 2005-2021 self-practice
ABC26PH0282 · The ground state electronic energy (Hartree) of a helium atom, neglecting the inter-electron repulsion, is · 2005-2021 self-practice
ABC26PH0283 · A particle is confined to a one-dimensional box of length 1 mm. If the length is changed by 10-9 m, the% change in the ground state energy… · 2005-2021
ABC26PH0284 · The operation of the commutator [x, d/dx] on a function f(x) is equal to · 2005-2021
ABC26PH0285 · The de-Broglie wavelength of the electron is (lambda)/pm= (a/(varphi))1/2. The value of 'a' in volts is · 2005-2021
ABC26PH0287 · The degeneracy of a quantum particle in a cubic box having energy four times that of the lowest energy is · 2005-2021
ABC26PH0288 · The de-Broglie wavelength for a He atom travelling at 1000 ms-1 (typical speed at room temperature) is · 2005-2021
ABC26PH0289 · For eigen functions psi 1=√(1/b) sin ((pi x)/b) and psi 2=√(2/b) sin ((2 pi x)/b) of a particle in a 1-D box of length b (0 ≤ x ≤ b) · 2005-2021
ABC26PH0291 · An electron of mass ‘m’ is confined to a one dimensional box of length ‘b’. If it makes a radiative transition from second excited state to… · 2005-2021
ABC26PH0292 · The wave function for a harmonic oscillator described by Nxexp (- alpha x2/2) has · 2005-2021 self-practice
ABC26PH0293 · If an arbitrary wave function is used to calculate the energy of a quantum mechanical system, the value calculated is never less than the… · 2005-2021 self-practice
ABC26PH0294 · The wave function for a quantum mechanical particle in a 1-dimensional box of length 'a' is given by psi = Asin (pi x)/a. The value of 'A'… · 2005-2021
ABC26PH0295 · If Delta y and Delta Py are the uncertainties in the y – coordinate and the y component of the momentum of a particle respectively, then… · 2005-2021 self-practice
ABC26PH0299 · The wavefunction of a 1 - D harmonic oscillator between x=+∞ and x=-∞ is given by psi (x)=N (2 x2-1) e^-x2 / 2. The value of N that… · 2005-2021
ABC26PH0300 · The secular determinant (where alpha, beta and E have their usual meanings) is given by · 2005-2021 self-practice
ABC26PH0301 · The possible value of E are · 2005-2021
ABC26PH0302 · Two trial wavefunctions phi = c1 x(a-x) and phi 2 = c1 x(a-x) + c2 x2(a-x)2 give ground state energies E1 and E2, respectively, for the… · 2005-2021 self-practice
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. · 2005-2021 self-practice
ABC26PH0304 · e^-2 x2 is an eigen function on the operator (d2/dx2-16 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 psi 1 and psi 2, are two hybrid orbitals: psi 1=0.12 psi 3s+0.63 psi 3px+0.77 psi 3py and psi 2=0.12 psi 3s-0.63 psi 3px-0.77 psi… · 2005-2021 self-practice
ABC26PH0307 · When the operator, -ħ2 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 ____. · 2005-2021 self-practice
ABC26PH0311 · The experimental ionization energies of hydrogen and helium atoms in their ground states are, respectively, 13.6 eV and 24.6 eV. The ground… · 2005-2021
ABC26PH0313 · For ortho-hydrogen, the nuclear wavefunction and the rotational quantum number, respectively, are · 2005-2021
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… · 2005-2021 self-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… · 2005-2021 self-practice
ABC26PH0318 · Psi = [c phi 1-(1-√(3)) phi 2] represents a normalized molecular orbital constructed from two different atomic orbitals phi 1 and phi 2… · 2005-2021 self-practice
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… · 2005-2021 self-practice
ABC26PH0322 · In a molecule XY, let psi X and psi Y denote normalized atomic orbitals of atoms X and Y, respectively. A normalized molecular orbital of… · 2005-2021 self-practice
ABC26PH0326 · Suppose the wave function of a one dimensional system is psi = sin (kx)exp (3ikx) In an experiment measuring the momentum of the system… · 2005-2021 self-practice
ABC26PH0330 · Among the following linear combination of atomic orbitals, the CORRECT representation of the lowest unoccupied pi -molecular orbital of… · 2005-2021
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 by… · 2005-2021 self-practice