A beam sending neutrinos from CERN, Geneva-Switzerland, to the Gran Sasso Laboratories in Italy, near LAquila, was

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A beam sending neutrinos from CERN, Geneva-Switzerland, to the Gran Sasso Laboratories in Italy, near L'Aquila, was operational between 2006 and 2012. The distance as the crow flies (i.e., along the Earth's maximum circle passing between the two sites) is \(730 \mathrm{~km}\). The midpoint is approximately at the height of Pontremoli city (Tuscany region). Determine the straight-line path of the neutrinos, and how many meters below Pontremoli the beam passed. The Earth's radius is about \(6370 \mathrm{~km} .

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