A neutrino flux ne with energy E = 10 MeV passes through the Earth. Estimate the probability of neutrino absorption by the Earth's substance, assuming that the Earth's substance contains 50% protons and 50% neutrons. The interaction cross section of such neutrinos is sn = 10-41 cm2, the mass of the Earth is M = 6 • 1027 g, the radius of the Earth is R = 6.4 • 108 m. What is the free path of these neutrinos in the Universe? The density of interstellar gas is p = 2•10-26 g/cm3. Neutrinos with the specified energy interact only with neutrons.
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