Assume that the a planet radiates heat at a rate proportiona to the fourth power of its surface temperature T and that the planet assumes such a steady temperature that this loss of heat is exactly compensated by the heat gained from the sun. Show that other thing remaining the same, a planet's surface temperature varies inversely as the square root of its distance from the sun.

Assume that the a planet radiates heat at a rate proportiona to the fo

1.	Assume that the a planet radiates heat at a rate proportiona to the fourth power of its surface temperature T and that the planet assumes such a steady temperature that this loss of heat is exactly compensated by the heat gained from the sun. Show that other thing remaining the same, a planet's surface temperature varies inversely as the square root of its distance from the sun.
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