ABC26PH0193 · For an assembly of molecules (molar mass =M ) at temperature T, the standard deviation of Maxwell's speed is approximately : · 2011-2020
ABC26PH1370 · The term symbol for the ground state of nitrogen atoms is · JUNE 2011
ABC26PH1393 · The standard deviation of speed ( ) for Maxwell's distribution satisfies the relation · DEC 2015
ABC26PH0206 · The standard deviation of speed ( ) for Maxwell's distribution satisfies the relation · DEC 2015
Partition Functions
ABC26PH0192 · 1.5T and 7.0 T are N' and N, respectively. The value of NN in ( gamma , h, k, T are gyromagnetic ratio of the proton, Planck's constant… · JUNE 2019
ABC26PH1368 · A certain system of non interacting particles has the single-particle partition function f=A TmV where A is some constant. The average… · JUNE 2019
ABC26PH0197 · The energy levels of the harmonic oscillator (neglecting zero point energy) are (n)= nhv and n=0,1,2, . Assuming T partition function is : · JUNE 2012
ABC26PH1375 · The electric-dipole allowed transition among the following is · JUNE 2012
ABC26PH0199 · The rotational partition function of H2 is : · DEC 2012
ABC26PH1377 · The rotational partition function of H2 is : · DEC 2012
ABC26PH1381 · The term symbol for ground state dinitrogen cation radical (N2+ ), is · DEC 2013
ABC26PH1383 · The translational, rotational and vibrational partition functions for a molecule are f_ translation = 1010 m-1, f_ rotation =10, f_… · JUNE 2014
ABC26PH1385 · The low and high temperature limits of vibrational partition function are ( theta =h v / k) : · DEC 2014
ABC26PH1387 · When T , value of the single-particle partition function will be (given : degeneracy of level j=gj ) : · DEC 2014
ABC26PH0203 · When T , value of the single-particle partition function will be (given : degeneracy of level j=gj ) : · DEC 2014self-practice
ABC26PH1390 · The single-particle partition function (f) for a certain system has the form f=Ave BT. The average energy per particle will then be ( k is… · JUNE 2015
ABC26PH1391 · The indistinguishability correction in the Boltzmann formulation is incorporated in the following way: ( N = total number of particles; f=… · JUNE 2015
ABC26PH1392 · Though a constant shift of energy levels of a system changes the partition function, the properties that do not change are · DEC 2015
ABC26PH1394 · The single - partition translational partition function (f) for an ideal gas in a fixed volume V depends on the thermal Broglie wave… · JUNE 2016
ABC26PH1396 · Partition function of a one - dimensional oscillator having equispaced energy level with energy spacing equal to kb T and zero ground… · DEC 2016
ABC26PH1401 · Translational partition function of a D2 molecule confined in 100 cm vessel at 25 C is · JUNE 2018
ABC26PH1403 · The translational partition function for Ar confined to a volume of 1 L at 300 K , having thermal wavelength of 1.60 1011 m, is closest to : · DEC 2018
ABC26PH1404 · The rotational partition function is expected to be the smallest for the molecule, among the following · JUNE 2019
ABC26PH0208 · The translational partition function for Ar confined to a volume of 1L at 300K, having thermal wavelength of 1.60 10-11 m, is closest to : · DEC 2018
ABC26PH1410 · The entropy in terms of internal energy \U-U(0)\, and canonical partition function (Q) is given by S=(U-U(0))/T+k Q. Assuming that T the… · DEC 2019
Statistical Equilibrium
ABC26PH0196 · The relative population in two states with energies E1 and E2 satisfying Boltzmann distribution is given by n1 / n2=(3 / 2) [- (E1-E2 ) /… · JUNE 2012
ABC26PH1374 · The lowest energy-state of an atom with electronic configuration ns1np1 has the term symbol · JUNE 2012
ABC26PH1380 · The allowed transition among the following is · JUNE 2013
ABC26PH0202 · The number of configurations in the most probable state, according to Boltzmann formula, is · JUNE 2014
ABC26PH1384 · The number of configurations in the most probable state, according to Boltzmann formula, is · JUNE 2014
ABC26PH1388 · The probability of finding the harmonic oscillator in the energy level n=1 is (neglect zero point energy and assume h v=kB T ) · DEC 2014
ABC26PH1400 · Four distinguishable molecules are distributed in energy level E1 and E2 with degeneracy of 2 \& 3 respectively. Number of microstates with… · DEC 2017
ABC26PH0207 · Four distinguishable molecules are distributed in energy level E1 and E2 with degeneracy of 2 \& 3 respectively . Number of microstates… · DEC 2017
ABC26PH1409 · The molar residual entropy (in JK-1 ) of solid OCS would be closest to · DEC 2019
ABC26PH1411 · For a micro-canonical system, the correct probability distribution function for energy is given by · JUNE 2021
Statistical Thermodynamics – General
ABC26PH1369 · The possible J values for 3 D term symbol are · JUNE 2011
ABC26PH1371 · PA and PB denote the populations of two energy states EA and EB and EA>EB, The correct statement when the temperature T1>T2 is · DEC 2011
ABC26PH0194 · If denotes the characteristic temperatures of rotation, then the magnitude of [, (H2 ) . (D2 ) ] / [(H D) ]2 (assume the bond lengths to be… · DEC 2011
ABC26PH1372 · A system consisting of 4 identical and distinguishable particles, each possessing three available states of 1 , 2 and 3 units, has 10 units… · DEC 2011
ABC26PH0195 · Two alpha particles having speeds S1 and S2 have kinetic 1 and 2 MeV respectively; the relationship between S1 and S2 is : · DEC 2011
ABC26PH1373 · Two alpha particles having speeds S1 and S2 have kinetic 1 and 2 MeV respectively; the relationship between S1 and S2 is · JUNE 2014
ABC26PH0198 · The correct entropy for 6 identical particles with their occupation number 0,1,2,3 in four steps is : · JUNE 2012
ABC26PH1376 · The term symbol for the first excited state of Be with the electronic configuration 1 s2 2 s1 3 s1 is · JUNE 2012
ABC26PH1378 · A system has 100 degenerate energy levels and 100 bosons are kept in it. Find the entropy of the system at equilibrium · JUNE 2013
ABC26PH1379 · Calculate the total number of microstates for 6 identical particles with their occupation numbers \1, 2, and 3\ in three states is · JUNE 2013
ABC26PH0200 · The equilibrium population ratio (nj / ni ) of a doubly-degenerate energy level (Ej ) lying at energy 2 units higher than a lower… · DEC 2012
ABC26PH0201 · The number of ways in which four molecules can be distributed in two different energy levels is : · DEC 2013
ABC26PH1382 · The Number of microstates corresponding to 4F atomic term? · JUNE 2021
ABC26PH1386 · The number of microstates that are possible, when two particles are distributed in four states such that the resulting wave functions are… · DEC 2014
ABC26PH1389 · Identify the speed distribution functions of Ne, Ar and Kr with the curves in the figure above: · DEC 2014