Monday, February 13, 2012

What is the luminosity of a star having three times the radius of the Sun and a surface temperature of 11000 K?

A certain star has a temperature twice that of the Sun and a luminosity 51 times greater than the solar value. What is its radius, in solar units?What is the luminosity of a star having three times the radius of the Sun and a surface temperature of 11000 K?Luminosity L=A * 蟽 * T^4



So L2/L1 = (A1 * 蟽 * T1^4)/(A2 * 蟽 * T2^4)



A=4蟺 * r^2



So L2/L1 = (4蟺 * r1^2 * T1^4)/(4蟺 * r2^2 * T2^4) = (r1 / r2)^2 * (T1 / T2)^4



Use calculator to find the numerical result. Assume that Sun's surface temp. is 5500 K
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