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Questions and Answers
A particle with mass m moves in a 3D potential well described by the Hamiltonian: H = p²/2m + ½ k(x² + y² + z²) + λxyz. With increasing λ, what happens to the energy levels of the particle?
In a nuclear fusion reaction, two deuterium nuclei (²H) collide to form a helium-3 nucleus (³He) and a neutron. Which conservation law limits the possible outcomes of this reaction?
An unknown compound exhibits an absorption peak in its UV-Vis spectrum at 280 nm and a strong peak in its ¹H NMR spectrum at 9.7 ppm. Which functional group is most likely present?
CRISPR-Cas9 technology can be used to modify the genome of an organism with high precision. What is the primary role of the Cas9 protein in this process?
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El Niño events are associated with warmer than average sea surface temperatures in the equatorial Pacific Ocean. What is the primary mechanism that triggers these events?
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A newly discovered organism undergoes mitosis and cytokinesis, resulting in eight genetically identical daughter cells. Which type of cell division is this?
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The rate constant (k) for a first-order reaction doubles when the temperature increases from 25°C to 35°C. Assuming the Arrhenius equation holds, what is the activation energy (Ea) for this reaction?
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