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A planet of radius r(0) is at a distance...

A planet of radius `r_(0)` is at a distance r from the sun `(r gtgt r_(0))`. The sun has radius R. Temperature of the planet is `T_(0)`, and that of the surface of the sun is `T_(s)`. Calculate the temperature of another planet whose radius is `2r_(0)` and which is at a distance 2r from the sun. Assume that the sun and the planets are black bodies.

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The correct Answer is:
`(T_(0))/(sqrt2)`
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