The GATE Grind

GATE Physical Chemistry: Spectroscopy: Atomic spectroscopy; Russell-Saunders coupling; Term symbols and spectral details; origin of selection rules. Rotational, Vibrational, Electronic and Raman spectroscopy of diatomic and simple polyatomic molecules. Line broadening and line widths; simple properties of Gaussian and Lorentzian line shapes. Molecular spectroscopy: Absorbance, Beer- Lambert’s law, Einstein’s coefficient, Jablonski diagram. Relationship of transition moment integral with molar extinction coefficient and oscillator strength. Basic principles of Nuclear Magnetic Resonance: Gyromagnetic ratio; Chemical shift, nuclear coupling. – Previous Year Questions

10 GATE previous year questions on Spectroscopy: Atomic spectroscopy; Russell-Saunders coupling; Term symbols and spectral details; origin of selection rules. Rotational, Vibrational, Electronic and Raman spectroscopy of diatomic and simple polyatomic molecules. Line broadening and line widths; simple properties of Gaussian and Lorentzian line shapes. Molecular spectroscopy: Absorbance, Beer- Lambert’s law, Einstein’s coefficient, Jablonski diagram. Relationship of transition moment integral with molar extinction coefficient and oscillator strength. Basic principles of Nuclear Magnetic Resonance: Gyromagnetic ratio; Chemical shift, nuclear coupling. (Physical Chemistry, Chemistry) with answers and explanations, from every paper.

  1. GATE 2026 CY Q31 (1 mark, Numerical answer) – A 0.005 M solution of X transmits 80% of incident 500 nm light over path length 1.0 cm. The absorbance of a 0.01 M solution (three decimal places) is
  2. GATE 2026 CY Q32 (1 mark, Numerical answer) – The HF microwave spectrum has successive lines separated by 41.11 cm−1. Its bond length in Å (two decimal places) is . Given masses H = 1.008 amu, F =…
  3. GATE 2026 CY Q33 (1 mark, Numerical answer) – At magnetic field 14.1 T, proton NMR resonances occur at 1.25 and 5.75 ppm. Their separation in Hz (one decimal place) is . Given H=2.675108 T−1 s−1.
  4. GATE 2025 CY Q19 (1 mark, Multiple choice) – Rigid rotor wavefunctions are given by Y l,m(,). The wavefunctions Y 1,0(,) and Y 2,0(,) are given below Y 1,0=34, Y 2,0=516(32-1). For a non-polar…
  5. GATE 2025 CY Q34 (1 mark, Numerical answer) – The ratio of the fundamental vibrational frequencies ( 13C16O/ 12C16O) of two diatomic molecules 13 C16 O and 12 C16 O, considering their force…
  6. GATE 2025 CY Q61 (2 marks, Numerical answer) – If a molecule emitting a radiation of frequency 3.100109 Hz approaches an observer with a relative speed of 5.000106\ m\,s-1, then the observer…
  7. GATE 2024 CY Q20 (1 mark, Multiple choice) – The molecule XY 2 is microwave active and its vibration-rotation spectrum shows only P and R transitions. In the correct structure,
  8. GATE 2024 CY Q27 (1 mark, Multiple select) – The correct statement(s) about 4D 5/2 state of an atom is (are):
  9. GATE 2024 CY Q45 (2 marks, Multiple choice) – Consider six vibrational modes: symmetric stretching of CO 2, O–H symmetric stretching of H 2O, stretching of HCl, stretching of H 2, N–H symmetric…
  10. GATE 2024 CY Q48 (2 marks, Multiple select) – Among the following, the NMR active nucleus(nuclei) is (are)