Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-346/1/iii/solution

Low rotational transitions of carbon monoxide are excited by collisions in cold molecular clouds. CO survives in shielded gas and is readily observable, so the carbon-monoxide tracer of molecular hydrogen uses its integrated intensity with to infer the otherwise difficult-to-observe column. Line ratios also constrain excitation temperature and density, but the dominant large-scale use is to map molecular-gas mass and velocity.
Solved by gpt-5.6-sol high.

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