489 questions from a source that prints this span of years rather than the year of each question. Each opens with its answer and explanation.
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) · Atomic Structure – General
ABC26PH0290 · The commutator [x3, px] is equal to · Atomic Structure – General
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… · Atomic Structure – General
ABC26PH0292 · The wave function for a harmonic oscillator described by Nxexp (- alpha x2/2) has · Atomic Structure – General
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… · Atomic Structure – General
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'… · Atomic Structure – General
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… · Atomic Structure – General
ABC26PH0296 · Choose the allowed transition · Atomic Structure – General
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… · Atomic Structure – General
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… · Atomic Structure – General
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… · Atomic Structure – General
ABC26PH0300 · The secular determinant (where alpha, beta and E have their usual meanings) is given by · Atomic Structure – General
ABC26PH0301 · The possible value of E are · Atomic Structure – General
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… · Atomic Structure – General
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. · Atomic Structure – General
ABC26PH0304 · e-2x2 is an eigen function on the operator ((d2)/(dx2) - 16x2). The corresponding eigen value is · Atomic Structure – General
ABC26PH0305 · The value of the magnetic quantum number of a px orbital is · Atomic Structure – General
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… · Atomic Structure – General
ABC26PH0307 · When the operator, -ħ2 d2/dx2, operates on the function e-ikx, the result is · Atomic Structure – General
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… · Atomic Structure – General
ABC26PH0310 · The linear momentum of a particle described by the wavefunction e-ikx is · Atomic Structure – General
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… · Atomic Structure – General
ABC26PH0313 · For ortho-hydrogen, the nuclear wavefunction and the rotational quantum number, respectively, are · Atomic Structure – General
ABC26PH0314 · The wavelength associated with a particle in one - dimensional box of length L is (n referes to the quantum number) · Atomic Structure – General
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… · Atomic Structure – General
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… · Atomic Structure – General
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… · Atomic Structure – General
ABC26PH0319 · The spherical harmonic function Y, m(theta, phi) with appropriate values of and m, is an eigenfunction of Lx2+Ly2 operator. The… · Atomic Structure – General
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… · Atomic Structure – General
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… · Atomic Structure – General
ABC26PH0324 · A one-dimensional anharmonic oscillator is treated by perturbation theory. The harmonic oscillator is used as the unperturbed system and… · Atomic Structure – General
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… · Atomic Structure – General
ABC26PH0330 · Among the following linear combination of atomic orbitals, the CORRECT representation of the lowest unoccupied pi -molecular orbital of… · Atomic Structure – General
ABC26PH0331 · The hydrogen-like radial wave function of the 3s orbital is given as R3,0=1/(9√(3)) (Z/a0)3/2 (6-2 rho +rho 2/9) e- rho /6 where rho… · Atomic Structure – General
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… · Atomic Structure – General
ABC26PH0334 · Acceptable wavefunction for a quantum particle must be; · Atomic Structure – General
ABC26PH0338 · Which of the following statements is NOT correct for a catalyst? · Chemical Kinetics – General
ABC26PH0339 · The value of the rate constant for the gas phase reaction 2NO2 + F2 → 2NO2F is 38 dm3 mol-1 s-1 at 300 K. The order of the reaction is · Chemical Kinetics – General
ABC26PH0340 · For the reaction P+Q+R → S, experimental data for the measured initial rates is given below. The order of the reaction with respect to P, Q… · Chemical Kinetics – General
ABC26PH0341 · Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process under alkaline conditions. The reaction has a… · Chemical Kinetics – General
ABC26PH0342 · The reaction, 2NO(g) + O2(g) → 2NO2(g) proceeds via the following steps NO + NO ka N2O2; N2O2 ka^′ NO + NO; N2O2 + O2 kb NO2 + NO2 The rate… · Chemical Kinetics – General
ABC26PH0343 · The rate constant of two reactions as temperature T are k1(T) and k2(T) and the corresponding activation energies are E1 and E2 with E2>E1… · Chemical Kinetics – General
ABC26PH0344 · For the reaction 2X3 = 3X2, the rate of formation of X2 is: · Chemical Kinetics – General
ABC26PH0345 · In a homogeneous catalytic reaction, 1.0 M of a substrate and 1.0 of a catalyst yields 1.0 mM of a product in 10 seconds. The turnover… · Chemical Kinetics – General
ABC26PH0346 · For the reaction given below, the relaxation time is 10-6 s. Given that 10% of A remains at equilibrium, the value of k1 (s-1) is A k-1k1⇌ B · Chemical Kinetics – General
ABC26PH0347 · The mechanism of enzyme (E) catalysed reaction of a substrate (S) to yield product (P) is: E+S k2k1⇌[ES] k-2k2⇌ E+P; (-d[S])/dt=(k1… · Chemical Kinetics – General
ABC26PH0348 · For the parallel first order reaction shown below the value of k1 is 1 × 10-4 s-1. If the reaction starts from X, the ratio of the… · Chemical Kinetics – General
ABC26PH0349 · The half-life (t1 / 2) for the hydrolysis of an ester varies with the initial concentration of the reactant ([E]0) as follows: The oder of… · Chemical Kinetics – General
ABC26PH0353 · The specific rate constant of decomposition of compound is represented by ln k = 5.0 - 12000/T The activation energy of decomposition for… · Chemical Kinetics – General
ABC26PH0356 · For a given first order reaction, the reactant reduces to 1/4th its initial value in 10 minutes. The rate constant of the reaction is: · Chemical Kinetics – General