Statistical Thermodynamics

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 (sigma c) for Maxwell's distribution satisfies the relation · DEC 2015

ABC26PH0206 · The standard deviation of speed (sigma c) for Maxwell's distribution satisfies the relation · DEC 2015

ABC26PH1368 · A certain system of non interacting particles has the single-particle partition function f = A(Tm)/V where A is some constant. The average… · JUNE 2019

ABC26PH0197 · The energy levels of the harmonic oscillator (neglecting zero point energy) are epsilon (n)= nhv and n=0,1,2, …. Assuming T partition… · 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

ABC26PH1383 · The translational, rotational and vibrational partition functions for a molecule are ftranslation = 1010 m-1, frotation =10, fvibration =1… · JUNE 2014

ABC26PH1385 · The low and high temperature limits of vibrational partition function are (theta = h nu /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 2014 self-practice

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

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 × 1011 m, is closest to : · DEC 2018

ABC26PH0196 · The relative population in two states with energies E1 and E2 satisfying Boltzmann distribution is given by n1/n2 = (3/2)exp [-(E1 -… · 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 nu = kBT) · 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 with… · DEC 2017

ABC26PH1409 · The molar residual entropy (in J K-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

ABC26PH0542 · Codes: · 2005-2021

ABC26PH0543 · The vibrational partition function for a molecule with fundamental frequency nu is given by · 2005-2021

ABC26PH0544 · Given that the mean speed of H2 is 1.78 km s-1, the mean speed of D2 will be · 2005-2021

ABC26PH0545 · As the temperature tends to infinity, the partition function for a two-level system is · 2005-2021

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 theta r denotes the characteristic temperatures of rotation, then the magnitude of [ theta r, (H2). theta r (D2)] / [ theta r(H D)]2… · DEC 2011

ABC26PH0546 · Assuming H2 and HD molecules having equal lengths, the ratio of the rotational partition functions of these molecules, at temperature above… · 2005-2021

ABC26PH0547 · N non-interacting molecules are distributed among three non-degenerate energy levels varepsilon 0=0, varepsilon 1=1.38×1021 J and… · 2005-2021

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

ABC26PH0548 · At T = 300 K, the thermal energy (kBT) in cm-1 is approximately · 2005-2021

ABC26PH0549 · The total number of ways in which two nonidentical spin–1/2 particles can be oriented relative to a constant magnetic field is: · 2005-2021

ABC26PH0550 · A box of volume V contains one mole of an ideal gas. The probability that all N particles will be found occupying one half of the volume… · 2005-2021

ABC26PH0198 · The correct entropy for 6 identical particles with their occupation number 0,1,2,3 in four steps is : · JUNE 2012

ABC26PH0551 · A certain molecule can be treated as having only a doubly degenerate state lying at 360 cm-1 above the nondegenerate ground state. The… · 2005-2021

ABC26PH0553 · The ratio of molecules distributed between two states is 9.22 × 106 at 300K. the difference in energy (in kJ mol-1) of the two states is… · 2005-2021

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

ABC26PH0554 · For an ideal gas with molar mass M, the molar translational entropy at a given temperature is proportional to · 2005-2021

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

ABC26PH0555 · The rotational partition function of a diatomic molecule with energy levels corresponding to J = 0, 1, is (where, varepsilon is a constant) · 2005-2021