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GATE 2020 CY – Question 35

Physical Chemistry · Kinetics and Reaction Dynamics: Elementary, parallel, opposing, and consecutive reactions. Steady state approximation. Mechanism of complex reactions. Unimolecular reactions. Potential energy surface and classical trajectories, Concept of saddle points, Transition state theory: Eyring equation, thermodynamic aspects. Kinetics of polymerization. Catalysis concepts and enzyme catalysis. Kinetic isotope effects. Fast reaction kinetics: relaxation and flow methods. Diffusion controlled reactions. Kinetics of unimolecular and bimolecular photophysical processes, Quantum yield calculation, static and dynamic quenching. · 1 mark · Numerical answer

Fluorescence quantum yield is 0.4 and lifetime $5\times10^{-9}$ s. If the fluorescence decay-rate constant is $Y\times10^7$ s⁻¹, find integer Y.

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Correct answer: 8 to 8

Explanation

Fluorescence yield is $\Phi_f=k_f\tau$. Therefore $k_f=0.4/(5\times10^{-9})=8\times10^7$ s⁻¹ and Y = 8. The reciprocal lifetime alone is the total decay constant, including nonradiative pathways; multiplying by the yield isolates fluorescence.

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All Kinetics and Reaction Dynamics: Elementary, parallel, opposing, and consecutive reactions. Steady state approximation. Mechanism of complex reactions. Unimolecular reactions. Potential energy surface and classical trajectories, Concept of saddle points, Transition state theory: Eyring equation, thermodynamic aspects. Kinetics of polymerization. Catalysis concepts and enzyme catalysis. Kinetic isotope effects. Fast reaction kinetics: relaxation and flow methods. Diffusion controlled reactions. Kinetics of unimolecular and bimolecular photophysical processes, Quantum yield calculation, static and dynamic quenching. questions →