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

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600:1

900:1

300:1

8100:1

answer is C.

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Detailed Solution

$\frac{E_{s t a r}}{E_{s u n}} = (\frac{A_{s t a r}}{A_{s u n}}) {(\frac{T_{s t a r}}{T_{sun}})}^{4}$

$10000 = (\frac{r_{star}^{2}}{r_{s u n}^{2}}) {(\frac{1}{3})}^{4}$

$\Rightarrow \frac{r_{s t a r}}{r_{s u n}} = \frac{900}{1}$

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