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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300:1

600:1

900:1

1200:1

answer is C.

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Detailed Solution

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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