Vibrational Spectroscopy, MCQ, M.Sc. First Year


Review of linear harmonic oscillator, the vibrating diatomic molecule, the simple harmonic oscillator, the anharmonic oscillator, the diatomic vibrating rotator, the vibration-rotation spectrum ofcarbon monoxide, breakdown of the Born-Oppenheimur approximation, the vibration of polyatomic molecules, overtones and combination frequencies, the influence of rotation on the spectra of polyatomic molecules, the influence of nuclear spin, symmetric top molecules, analysis by Infra-red technique - Group frequencies, outline of technique and instrumentation.

Multiple choice Questions:
1. The spectra caused in the infrared region by the transition in vibrational levels in different modes of vibrations are called
(a)    rotational spectra
(b)   electronic spectra
(c)    vibrational spectra
(d)   none of these


2. The IR spectra of a compound helps in
(a)    proving the identity of compounds
(b)   showing the presence of certain functional groups in the molecule
(c)    neither of the above
(d)   both of the above


3. The Raman and IR spectra can tell us whether
(a)    a molecule is linear or non-linear
(b)   a molecule is symmetrical or asymmetrical
(c)    neither of the above
(d)   both of the above


4. What does IR spectroscopy allow us to determine?
(a)    the molecular formula of a compound
(b)   the kinds of bonds in a compound
(c)    the molecular weight of a compound
(d)   the number of carbons in a compound


5. Which of the following will show an absorption band at the greatest wavenumber?
(a)    C=C
(b)   C≡C
(c)    C=O
(d)   C–N


6. Which of the following bonds will show an absorption band at the greatest wavenumber?
(a)    C=O
(b)   C=C
(c)    O–H
(d)   C–H


7. Hooke's law relates the restoring force, f to the displacement q as 
(a)   f= -Kq 
(b)   f = Kq 
(c)    f= Kq2 
(d)   f=- Kq2


8. The lowest energy of a quantum mechanical harmonic oscillator is 1/2 hv. It is referred to as
(a)    Ground state energy 
(b)   Zero-point energy
(c)    Vibrational energy 
(d)   All


9. The intensity of an absorption band is always proportional to the 
(a)    Atomic population 
(b)   Molecular population of the initial state
(c)    Molecular population of the final state
(d)   Temperature

10. The vibrational stretching frequency of diatomic molecule depends on 
(a)    Force constant 
(b)   Masses of two atoms
(c)    Both (a) and (b
(d)   None


11. Force constant is expressed in 
(a)    Dynes cm-1
(b)   m.dyne Ao-1
(c)    Nm-1 
(d)   All


12. The amplitude of the vibration, q for NO, CO, HCI is 0.048 Ã…, 0.05 Ã…, 0.10 Ã…. Thus q is 
(a)   Larger when the force constant is smaller
(b)   Smaller when the force constant is smaller
(c)    Larger when the force constant is larger 
(d)   None


13. Since the nuclei in a polyatomic molecule do not always vibrate in a simple harmonic manner, there arises
(a)    Harmonicity 
(b)   Anharmonicity in molecular vibrations
(c)    Fundamental frequencies 
(d)   All 


14.The frequency of vibration of H, is 4159 cmand dissociation energy is 4.5 eV. Assuming that it vibrates as a SHO, its vibrational quantum number corresponding to dissociation energy, D is
(a)  
(b)   10 
(c)    7
(d)   6


15. The vibrations, without a centre of symmetry are, active in 
(a)   Infrared active but inactive in Raman
(b)   Raman but inactive in IR
(c)    Raman and IR 
(d)   None


16. The frequency of vibration of a bond is a function of 
(a)    Force constant of the bond 
(b)   Masses of the atoms involved in bonding
(c)    Both (a) and (b) 
(d)   Bond order


17. In poly atomic molecules, silent vibrations which involve no change of dipole moment or polarizability are
(a)    IR active but Raman inactive 
(b)   IR inactive but Raman active
(c)    Neither IR active nor Raman active
(d)   Both IR and Raman active


18. Total number of vibrations in allyl bromide, CH2=CHCH2Br are 
(a)    18 
(b)   21 
(c)    14 
(d)   16 (Hint. 3n - 6 gives 3x9-6 = 21 vibrations).

19. The predominant advantages provided by interferometer compared to dispersive instruments are
(a)    Jaquinot advantage 
(b)   Fellgett advantage
(c)    Connes advantage 
(d)   All


20. The vibrational degrees of freedom for (i) O2 (ii) N2O (iii) CH2O (iv) C6H6 (v) CHCl3 are respectively
(a)    3, 1, 6, 6, 30
(b)   1, 3, 9, 30, 6
(c)    1, 3, 6, 30, 6
(d)   3, 6, 9, 6, 15 (Hint Vibrational degrees of freedom for linear molecules = 3n - 5 and for non-linear = 3n – 6)


 21. The C–H stretching frequency for an alkane is 2900 cm-1. The value for C-D frequency is
(a)    2900 cm-1
(b)   2060 cm-1
(c)    2860 cm-1
(d)   2250 cm-1 


22. The order of decreasing vibrational frequency for C—CI, C-Br, C-C, C-O and C-H is 
(a)   C-H, C-C, C-O, C—CI, C-Br 
(b)   C-CI, C-Br, C-C.C-H, C-O
(c)    C-O,C-H. C-Br, C-CI, C—C
(d)   C-Br, C-Cl, C-C.C—O, C-H 
23. Ethanol and glycol in CCl4 exhibit broad O-H str. near 3350cm-1 in IR spectra. On dilution with CCl4, the spectrum of glycol does not change but that of ethanol exhibits a sharp band at 3600 cm-1 in addition to band at 3350 cm-1 because

(a)    Intermolecular H-bonding is concentration dependent
(b)   Intramolecular H-bonding is not affected on dilution
(c)    Both (a) and (b) 
(d)   None


24. The exceptionally low carbonyl stretching frequency (1650 cm-1) in 2,4,6-cycloheptatrienone is due to
(a)   Conjugation effect 
(b)   Steric effect
(c)    Field effect 
(d)   Electronic effect


25. In the IR spectrum of aroyl chloride, a weak band near 1750 cm-1 results from 
(a)    Inductive effect
(b)   Fermi resonance between C=O band and first overtone
(c)    Conjugation effect 
(d)   All


26. Compound C5H10 shows no absorption at 1380 cm-1. It is 
(a)    Pentene 
(b)   Cyclopentane
(c)    Pentyne 
(d)   All


27. Ketones absorb in IR at a very high frequency (2150 cm-1) because 
(a)    The inner C is sp-hybridised
(b)   The more s character in a bond, the stronger it is
(c)    Inner C is sp2 hybridised 
(d)   Both (a) and (b)