A star is formed when the gravitational attraction overcomes the pressure due to the gases inside. Thus we can write(in-picture) .... Assuming the ideal gas equation, we can write P = nkT, where n is the number of atoms/volume. Let M and m denote the total mass and the mass of each gas atom. Using the above equation, show that the condition for star formation is that the mass of the star obeys M > MJ, where : (in-picture)

Horizons: Exploring the Universe (MindTap Course List)
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Chapter11: Neutron Stars And Black Holes
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A star is formed when the gravitational attraction overcomes the pressure due to the gases inside.
Thus we can write(in-picture) .... Assuming the ideal gas equation, we can write P = nkT, where n is the number of atoms/volume. Let M and m denote the total mass and the mass of each gas atom. Using the above equation, show that the condition for star formation is that the mass of the star obeys M > MJ, where : (in-picture)

A star is formed when the gravitational attraction overcomes the pressure due to the gases inside.
Thus we can write
4T R²P <
GM²
R²
Assuming the ideal gas equation, we can write P = nkT, where n is the number of atoms/volume. Let M and
m denote the total mass and the mass of each gas atom. Using the above equation, show that the condition for
star formation is that the mass of the star obeys M > Mj, where
3/2
MJ =
9
2√
k
Gm4/3
n
Transcribed Image Text:A star is formed when the gravitational attraction overcomes the pressure due to the gases inside. Thus we can write 4T R²P < GM² R² Assuming the ideal gas equation, we can write P = nkT, where n is the number of atoms/volume. Let M and m denote the total mass and the mass of each gas atom. Using the above equation, show that the condition for star formation is that the mass of the star obeys M > Mj, where 3/2 MJ = 9 2√ k Gm4/3 n
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