Answer:
Explanation:
(a) Rigel, 2.7x10^32W, T = 11,000K
But L = 4pR²sT⁴
L = 2.7x10^32W, T = 11,000K, s= 5.67 x 10^-8, R= radius in meters
Rigel parallax, p = 0.00378 arc sec
Substituting the various values and making R the subject of the formula
R² = L/(4psT⁴)
R² = 2.7x10^32/(4 x 0.003878 x 5.67x10^-8 x (11,000)⁴)
R² = 2.7x10^32/1.2877x10^7
R² = 2.096761668 x 10^25
R = 4.579041021 x 10^12meters
(b)
Procyon B, 2.1x10^23W, T = 10,000K
But L = 4pR²sT⁴
L = 2.1x10^23W, T = 10,000K, s= 5.67 x 10^-8, R= radius in meters
Procyon B parallax, p = 0.00284 arc sec
R² = 2.1x10^23/(4 x 0.00284 x 5.67x10^-8 x (10,000)⁴)
R² = 2.1x10^23/(6.441 x 10^6)
R² = 3.26036 x 10^16
R = 1.80565 x 10^8 meters
(c) The radius of Rigel is given as 4.579041021 x 10^12meters and the radius of Procyon B is given by 1.80565 x 10^8 meters shows the remarkable difference between a super-giant star(Rigel) and a white dwarf star (Procyon B)
The radius of the sun a red star is 6.96 x 10^8meters which shows a certain level of resemblance with the size of a dwarf white star Procyon B.
The sun is larger than Procyon B as estimated above.
