Atomic Structure
65 questions in this chapter, page 1 of 2.
Study loop for Atomic Structure
1. Practise the PYQsPrevious-year questions, with answers
Atomic Structure – General
ABC26PH0631 · For an electron whose x-positional uncertainity is 1 × 10-10 m, the uncertainity in x-component of the velocity in ms-1 will be of the… · 2001-2022
ABC26PH0263 · The function eax2 (alpha > 0) is not an acceptable wave function for bound system, because · 2005-2021
ABC26PH0264 · First order perturbation correction Delta varepsilon n(1) to energy level varepsilon n of a simple harmonic oscillator due to the… · 2005-2021 self-practice
ABC26PH0265 · The 2s orbital of H – atom has radial node at 2a0 because psi 2s is proportional to · 2005-2021
ABC26PH0632 · Identify the correct statement regarding Einstein's photoelectic effect · 2001-2022
ABC26PH0266 · As per Huckel theory, pi –electron energy levels of cyclobutadiene are · 2005-2021
ABC26PH0633 · Ionisation energy of hydrogen atom is ground state is 13.6 eV. The energy released (in eV) for third member of Balmer series is · 2001-2022
ABC26PH0269 · In the Huckle model for benzene, the pi electronic transitions from the occupied to the unoccupied molecular orbitals do NOT occur at · 2005-2021
ABC26PH0270 · To demonstrate the variational principle, a trial function psi = C1(psi 2s+ psi 3s)/(√(2)) + C2(psi 2s- psi 3s)/(√(2)) where C1 and C2 are… · 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
ABC26PH0638 · Two sets of quantum numbers with the same number of radial nodes are · 2001-2022
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 2p → 1s 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
ABC26PH0277 · The quantum state of a particle moving in a circular path in a plane is given by psi m(phi)=(1 / √(2 pi)) eim phi, m=0, ± 1, ± 2, … When a… · 2005-2021
ABC26PH0278 · Consider a particle of mass m moving in a one-dimensional box under the potential V=0 for 0≤ x≤ a and V=∞ outside the box. When the… · 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 convalent + 0.45 phi ionic. The chance that both electrons of the bond… · 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)). 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 m s-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) os 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
ABC26PH0297 · The angular part of the wavefunction for the electron in hydrogen atom is proportional to sin 2 theta cos theta e2 i phi. The values of the… · 2005-2021
ABC26PH0298 · Let phi xC and phi zC denote the wavefunctions of the 2 px and 2 pz orbitals of carbon, respectively, and phi xC and phi z0 represent the… · 2005-2021
ABC26PH0299 · The wavefunction of a 1 – D harmonic oscillator between x=+∞ and x=-∞ is given by psi (x)=N(2x2-1)e-x2/2. The value of N that normalizes… · 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 wavefunction phi =c1x(a-x) and phi 2=c1x(a-x)+c2x2(a-x)2 give ground state energies E1 and E2, respectively, for the microscopic… · 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-2x2 is an eigen function on the operator ((d2)/(dx2) - 16x2). 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… · 2005-2021 self-practice
ABC26PH0307 · When the operator, -ħ2 d2/dx2, operates on the function e-ikx, 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 2nm is ____. 49. The… · 2005-2021 self-practice
ABC26PH0310 · The linear momentum of a particle described by the wavefunction e-ikx is · 2005-2021