ABC26PH0262 · The set of eigenfunctions √(2/1) (n pi x)/a(0 x a, n=1,2,3 ) is · 2005-2021self-practice
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 order… · 2001-2022
ABC26PH0263 · The function e^ax2( alpha >0) is not an acceptable wave function for bound system, because · 2005-2021
ABC26PH0264 · First order peturbation correction Delta (1) to energy level of a simple harmonic oscillator due to the anharmonicity perturbation lambda… · 2005-2021self-practice
ABC26PH0265 · The 2 s orbital of H - atom has radial node at 2 a0 because 2 s is proportional to · 2005-2021
ABC26PH0266 · As per Huckel theory, pi -electron energy levels of cyclobutadiene are · 2005-2021
ABC26PH0267 · Given that beta =-75 kJ / mol, cyclobutadiene is · 2005-2021self-practice
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
ABC26PH0268 · The orbital =1sHA-1sHB of water belongs to the irreducible representation · 2005-2021
ABC26PH0634 · The electron of a hydrogen atom is in its n^ th Bohr orbit having de Broglie wavelength of 13.4 . The value of n is ____ (rounded up to the… · 2001-2022self-practice
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
ABC26PH0635 · The ionization energy of hydrogen atom is 13.6 eV and the first ionization energy of sodium atom is 5.1 eV. The effective nuclear charge… · 2001-2022self-practice
ABC26PH0270 · To demonstrate the variational principle, a trial function =C1 2 s+3 s√(2)+C2 2 s-3 s√(2) where C1 and C2 are the variational parameters… · 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… · 2001-2022self-practice
ABC26PH0271 · Which of the following pairs of operators commute? · 2005-2021self-practice
ABC26PH0637 · The longest wavelength of light absorbed by a hydrogen - like atoms is 2.48 nm. The nuclear charge (Z) of the atom is ____ (Round off to… · 2001-2022self-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 2 p 1 s transition energy in He+to that in the H atom is closest to · 2001-2022self-practice
ABC26PH0274 · The dimension of Planck constant is (M, L and T denote mass, length and time respectively) · 2005-2021self-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 ( 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 particle… · 2005-2021
ABC26PH0279 · The uncertainty in the momentum ( Delta ps ) of the particle in its lowest energy state is: · 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 =0.89+0.45. The chance that both electrons of the bond will be found on the same atom… · 2005-2021self-practice
ABC26PH0282 · The ground state electronic energy (Hartree) of a helium atom, neglecting the inter-electron repulsion, is · 2005-2021self-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… · 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/() ). The value of 'a' in volts is · 2005-2021
ABC26PH0286 · The lowest allowed energy is eual to zero for · 2005-2021self-practice
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 1=√(1/b) (( pi x)/b ) and 2=√(2/b) ((2 pi x)/b ) of a particle in a 1-D box of length b\;(0 x b) · 2005-2021
ABC26PH0290 · The commutator [x3, px ] is equal to · 2005-2021self-practice
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 Nx (- alpha x2 / 2 ) has · 2005-2021self-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… · 2005-2021self-practice
ABC26PH0294 · The wave function for a quantum mechanical particle in a 1-dimensional box of length 'a' is given by =A ( pi x)/a The value of ' A ' for 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… · 2005-2021self-practice
ABC26PH0296 · Choose the allowed transition · 2005-2021self-practice
ABC26PH0297 · The angular part of the wavefunction for the electron in hydrogen atom is proportional to 2 theta theta e2 i phi . The values of the… · 2005-2021
ABC26PH0298 · Let and denote the wavefunctions of the 2 px and 2 pz orbitals of carbon, respectively, and and 0 represent the wavefunction of the 2 px… · 2005-2021
ABC26PH0299 · The wavefunction of a 1 - D harmonic oscillator between x=+ and x=- is given by (x)=N (2 x2-1 ) 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 · 2005-2021self-practice
ABC26PH0301 · The possible value of E are · 2005-2021
ABC26PH0302 · Two trial wavefunction phi =c1 x(a-x) and 2=c1 x(a-x)+c2 x2(a-x)2 give ground state energies E1 and E2, respectively, for the microscopic… · 2005-2021self-practice