A neutrino must pass within about 10-18 m of a quark to have any chance of inter

Question

A neutrino must pass within about 10-18 m of a quark to have any chance of interacting with it. Thus, the maximum target area that a quark presents to a neutrino is about 1CT36 m2. However, a neutrino moves so quickly and the weak interaction is so weak that experimentally only about 1 in 1012 typical neutrinos passing a quark within this radius actually interacts significantly with it. Use this information, the fact that Avogadro's number of protons and/or neutrons has a mass of about 1 g, and the fact that the density of lead is about 11 g/cm3 to estimate (in light-years) how far a given typical neutrino would have to travel through lead to have a 59-50rhanceof significantly interacting.

Explanation / Answer

answer is 3.687 light-year   

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