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A) What is the average number density of particles inside the brown dwarf, given that the...

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Physics

A) What is the average number density of particles inside thebrown dwarf, given that the average mass per particle is about10^−24 gram? (Hint: The volume of a sphere of radius r is equal to4πr3/3 .) (A brown dwarf with a mass of 0.04 MSun and a radius of0.1 RSun.)

B) What is the approximate temperature necessary for gaspressure to balance gravity within the brown dwarf, given theaverage particle density from part A?

C) How does that temperature compare with the 1×10^7Ktemperature needed to sustain hydrogen fusion?

D) Explain how conditions inside the brown dwarf would change ifyou raised its mass to 0.12 MSun.

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