Q.

The radiation emitted by a star A is 1000 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

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 byE = σAT4E1E2 = A1A2(T1T2)4or 10000 = r12r22(20006000)4or r12r22 = (30)4or r1 : r2 = 900 : 1
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