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Electronic Spectra of Molecules Questions and Answers

1.

Which one of the following options is the most appropriate match between the items given in Column 1 and Column 2?

Column 1Column 2
(i) Visible lightP. Transition between core energy levels of atoms
(ii) X-raysQ. Transition between nuclear energy levels
(iii) Gamma raysR. Pair production
(iv) Thermal neutronsS. Crystal structure determination
T. Photoelectric effect

Exam Year(s)

GATE Physics - 2023,

Answer: A

The best match is (i) - T; (ii) - P,S,T; (iii) - Q,R; (iv) - S.

  • Visible light ejects electrons from metal surfaces with low work functions: the photoelectric effect (T).
  • X-rays come from transitions between inner (core) electron levels (P), have wavelengths comparable to atomic spacings and so reveal crystal structure (S), and also cause photoemission (T).
  • Gamma rays come from transitions between nuclear energy levels (Q), and above 1.022 MeV they can create electron-positron pairs (R).
  • Thermal neutrons have de Broglie wavelengths of about an angstrom and are used for crystal (and magnetic) structure determination (S).

The other options credit visible light with core transitions or crystal structure determination, or X-rays with pair production, or thermal neutrons with the photoelectric effect, none of which fits.

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2.

In which of the following wavelength region, the sources are comparatively weak and detectors insensitive requiring Fourier Transform methods :

Exam Year(s)

MH SET - 2019, SET Exam - 2019,

Answer: C

The region is the Infrared.

Infrared sources, such as a heated Globar or Nernst glower, are weak, and infrared detectors are relatively insensitive and noisy. Fourier transform spectroscopy overcomes this: an interferometer records all wavelengths at once (the multiplex or Fellgett advantage) and passes far more light than a slit (the throughput or Jacquinot advantage). That is why FTIR is the standard infrared method.

In the ultraviolet and visible, sources are bright and photomultiplier detectors very sensitive, so dispersive instruments suffice; X-ray spectroscopy uses crystal diffraction.

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3.

Which of the following identity is not correct as regards the hybridization of atomic orbitals to form MO :

Exam Year(s)

MH SET - 2019, SET Exam - 2019,

Answer: C

The identity that is not correct is sp\(^{3}\)-square planar - PtCl\(_{4}^{2-}\).

Square planar complexes such as \(PtCl_{4}^{2-}\) use \(dsp^{2}\) hybrid orbitals: one d, one s and two p orbitals pointing to the corners of a square. \(sp^{3}\) hybridisation gives a tetrahedral arrangement, not a square planar one.

The others are correct: \(BCl_{3}\) is trigonal planar with \(sp^{2}\) boron, \(CO_{2}\) is linear with sp carbon, and \(CH_{4}\) is tetrahedral with \(sp^{3}\) carbon.

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