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# The radiation emitted by a star A is 10000 times that of the sun. If the surface temperatures of the sun and star A are 6000 K and 2000 K, respectively, the ratio of the radii of the star A and the sun is

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a
300:1
b
600:1
c
900:1
d
1200:1
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detailed solution

Correct option is C

According to Stefan - Boltzmann law, the energy radiated per second through the surface of area A is given by E=σAT4∴E1E2=A1A2T1T2410000=r12r22200060004r12r22=(30)4r1:r2=900:1

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