the sun has a radius of 6.96*10^8 m , A white dwarf star (SB)that emits only .04

Question

the sun has a radius of 6.96*10^8 m , A white dwarf star (SB)that emits only .04 times the radiant power of the sun, even thoughit has a surface temp that is 4 times that of the sun What is the radius of(SB)? The mass of SB is 2*10^30, what is the mass density of thisdwarf star? Thank you the sun has a radius of 6.96*10^8 m , A white dwarf star (SB)that emits only .04 times the radiant power of the sun, even thoughit has a surface temp that is 4 times that of the sun What is the radius of(SB)? The mass of SB is 2*10^30, what is the mass density of thisdwarf star? Thank you

Explanation / Answer

the period of white dwarf around the sun is T^2 = Kwd* r1^3 Here,T^2 = Ks* r^3 or Ks* r^3 = Kwd* r1^3 or r1^3 = (Ks* r^3/Kwd) or r1 = (Ks/Kwd)^(1/3) * r Ks= (42/GMs) andKwd= (42/GMwd) r1 = (Mwd/Ms)^(1/3) * r-------------(1) Mwd= 2 * 10^30 kg,Ms= 1.99 * 10^30 kgand r = 695500 km = 695500 * 10^3 m substitute values in equation (1) we get r1 the mass density of the dwarf star is wd= (Mwd/Vwd) Vwd= (4/3) * r1^3 substitute the values

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