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Question

The luminosity of regiel star is 17000 times that of the sun. Assume both to be perfect black bodies. If the surface temperature of sun is 6000 Kthen the temperature of start is
A. 68400 K.
B. 1.02 x 10^8 K.
C. 12000 K
D. 68400 C

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Solution

$l u m i n o s i t y = σ A T^{4} l e t t h e r a d i u s o f b o t h t h e s u n a n d t h e s t a r b e s a m e . T^{4} = 17000 * 6000^{4} T = \sqrt[4]{17000} * 6000 = 68511 K = 68238 C R e g a r d s$

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