GATE Collected papers 2005–2021 · chemistry questions

629 questions from a source that prints this span of years rather than the year of each question. Each opens with its answer and explanation.

ABC26PH0502 · The frequency of radiation (in cm-1 units) required to rotationally excite the molecule from J=0 to J=1 state is · Physical Spactra – General
ABC26PH0503 · The bond that gives the most intense band in the infrared spectrum for its stretching vibrations is · Physical Spactra – General
ABC26PH0504 · The rotational constant (usually denoted as B ) for the oxygen molecule is · Physical Spactra – General
ABC26PH0505 · The next rotational Stokes line is expected at · Physical Spactra – General
ABC26PH0506 · the infrared spectrum of HCl gas shows an absorption band centered at 2885 cm-1. The zero point energy of HCl molecule under hamonic… · Physical Spactra – General
ABC26PH0507 · The number of IR active vibrational normal modes of CO2 is ____ · Physical Spactra – General
ABC26PH0508 · Of the vibrational modes given below, the IR active mode(s) is(are) (i) (ii) (iii) · Physical Spactra – General
ABC26PH0509 · For a diatomic vibrating rotor, in vibrational level v=3 and rotational level J , the sum of the rotational and vibrational energies is… · Physical Spactra – General
ABC26PH0510 · The spacing between the two adjacent lines of the microwave spectrum of H35Cl the corresponding spacing for D35Cl is ____ 1011\,Hz. (Upto… · Physical Spactra – General
ABC26PH0511 · The frequency (in cm-1, rounded off to two decimal places) for pure rotational line in the spectrum of NO molecule due to change in the… · Physical Spactra – General
ABC26PH0512 · Assuming no interaction between vibrational and rotational energy levels in HF , the frequency (in cm-1, rounded off to the nearest… · Physical Spactra – General
ABC26PH0513 · The fundamental vibrational frequency of 1 H127 I is 2309 cm-1. The force constant for this molecule (rounded off to the nearest integer)… · Physical Spactra – General
ABC26PH0514 · In the following reaction X the major products X and Y, respectively, are: · Physical Spactra – General
ABC26PH0515 · Amongst the following, the metal that does NOT form homoleptic polynuclear carbonyl is · Polymer – General
ABC26PH0516 · arrayl M1=13.7 M2=15.5 M3=17.2 N1=N2=N2=N \2mm] Mn=(N1M1+N2M2+N3M3)/(N1+N2+N3)=(M1+M2+M3)/3 \3mm]… · Polymer – General
ABC26PH0517 · The incorrect statement for solid sodium chloride is that · Solid State – General
ABC26PH0518 · The atomic radius (in cm) of an element with a body centered cubic unit cell of volume 75.8 cm3 mol-1, molecular weight 137.3 and density… · Solid State – General
ABC26PH0519 · The arrangement of sulphur in zinc blende and wurtzite structures, respectively, are · Solid State – General
ABC26PH0520 · The lattice parameters for a monoclinic crystal are: · Solid State – General
ABC26PH0521 · When NiO is heated with a small amount of Li2 O in air at 1200 C, a non - stoichiometric compound Lix Ni(1 x) O is formed. This compound is · Solid State – General
ABC26PH0522 · The condition for observing diffraction from the nickel surface is · Solid State – General
ABC26PH0523 · The minimum value of (V) for the electron to diffract from the (100) planes is · Solid State – General
ABC26PH0524 · The X-ray powder pattern of NaCl shows an intense cone at theta =15.87 using X-rays of wave length 1.54 10-8 cm. The spacing between the… · Solid State – General
ABC26PH0525 · The reducible representation corresponding to the three translational degrees of freedom, , is: · Solid State – General
ABC26PH0526 · The asymmertric stretching mode of the H2 O is shown below. The molecular plane is yz and the symmetry axis of H2 O is z . This vibration… · Solid State – General
ABC26PH0527 · Band theory predicts that magnesium is an insulator. However, in practice it acts as a conductor due to · Solid State – General
ABC26PH0528 · The band structure in an n-type semiconductor is · Solid State – General
ABC26PH0529 · For a face centered cubic lattice, the Miller indices for the first Bragg's peak (smallest Bragg angle) are · Solid State – General
ABC26PH0530 · A crystal has the lattice parameters a b c and alpha = beta = gamma =90 . The crystal system is · Solid State – General
ABC26PH0531 · A metal crystallizes in the face - centered cubic lattice parameter of 4.20 . The shortest atom to atom contact distance in the lattice is · Solid State – General
ABC26PH0532 · Molybdenum crystallizes in a bcc structure with unit cell dimensions of 0.314 nm. considering the atomic mass of molybdenum to be 96 , its… · Solid State – General
ABC26PH0533 · Which one of the following statements is INCORRECT? · Solid State – General
ABC26PH0534 · The distance between two successive (110) planes in a simple cubic lattice with lattice parameter 'a' is · Solid State – General
ABC26PH0535 · When crystals of sodium chloride are heated in the presence of sodium vapor, they turn yellow. This is due to the formation of · Solid State – General
ABC26PH0536 · The band structure given below represent a · Solid State – General
ABC26PH0537 · The energy band diagram for magnesium is (The hatched and unhatched regions in the figure correspond to filled and unfilled regions of the… · Solid State – General
ABC26PH0538 · P, F and I represent primitive, face - centered and body - centered lattices, respectively. The lattice types of NaCl and CsCl… · Solid State – General
ABC26PH0539 · The INCORRECT statement about the solid-state structure of CsCl and CaF2 is: · Solid State – General
ABC26PH0540 · For a cubic crystal system, the powder X-ray diffraction pattern recorded using Cu K alpha soucrce ( lambda =1.54 ) shows a peak at 33.60… · Solid State – General
ABC26PH0541 · Consider that AgX crystallizes in rock salt structure. The density of AgX is 6477\,kg/m3 and unit cell length is 577.5 pm. Atomic weight of… · Solid State – General
ABC26PH0542 · Codes: · Statistical Thermo – General
ABC26PH0543 · The vibrational partition function for a molecule with fundamental frequency v is given by · Statistical Thermo – General
ABC26PH0544 · Given that the mean speed of H2 is 1.78 km s-1, the mean speed of D2 will be · Statistical Thermo – General
ABC26PH0545 · As the temperature tends to infinity, the partition function for a two-level system is · Statistical Thermo – General
ABC26PH0546 · Assuming H2 and HD molecules having equal lengths, the ratio of the rotational partition functions of these molecules, at temperature above… · Statistical Thermo – General
ABC26PH0547 · N non-interacting molecules are distributed among three non-degenerate energy levels 0=0, 1=1.381021\,J and 2 \; = \; 2.7610-21\,J, at 100… · Statistical Thermo – General
ABC26PH0548 · At T=300 K, the thermal energy (kB T ) in cm-1 is approximately · Statistical Thermo – General
ABC26PH0549 · The total number of ways in which two nonidentical spin -1/2 particles can be oriented relative to a constant magnetic field is: · Statistical Thermo – General
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… · Statistical Thermo – General
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… · Statistical Thermo – General