In the conditions in the Sun, the neutrino mean-free-path would average about a

Question

In the conditions in the Sun, the neutrino mean-free-path would
average about a billion solar radii.
a) What does that imply the Sun's optical depth to neutrinos is?
b) By what factor would you need to shrink the radius of the Sun
to increase that neutrino optical depth to unity?
c) Now calculate by what factor you would need to shrink the
Sun's radius to make its escape speed equal to c, at which point
the Sun would be a black hole.
d) What do parts (b) and (c) tell you about the potential role of
neutrino pressure in supernova explosions?

Explanation / Answer

Dr. Gayley?

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