- #1
Darkkk
- 5
- 0
Problem:
Relatively low mass stars can be shown to have their radii dependent on their mass as;
R[itex]\propto[/itex]M1/2
From this, show that the temperature in kelvin at the centre of such a star can be estimated to be
[itex]\approx[/itex]24[itex]\times[/itex]106(M/Msolar)1/2
Relevant Equations:
Tc=(2/3ℝ)[itex]\times[/itex]Pc[itex]\times[/itex](R3/M)
Attempt at a Solution:
I tried to sub in the relation between R and M of the star, but to be quite honest I didn't see myself getting very far...Any pointers at all would be much appreciated! Not too sure on this one.
Relatively low mass stars can be shown to have their radii dependent on their mass as;
R[itex]\propto[/itex]M1/2
From this, show that the temperature in kelvin at the centre of such a star can be estimated to be
[itex]\approx[/itex]24[itex]\times[/itex]106(M/Msolar)1/2
Relevant Equations:
Tc=(2/3ℝ)[itex]\times[/itex]Pc[itex]\times[/itex](R3/M)
Attempt at a Solution:
I tried to sub in the relation between R and M of the star, but to be quite honest I didn't see myself getting very far...Any pointers at all would be much appreciated! Not too sure on this one.