A planet radiates heat at a rate proportional to the fourth power of its surface temperature T. If such a steady temperature of the planet is due to an exactly equal amount of heat received from the sun then which of the following statement is true?

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

The power P is received by a surface at temperature T_(0)K from a small sphere at temperature

A planet having surface temperature T, K has a solar constant S. An angle theta is subtended by the sun at the planet:

The thermal radiation emitted by a body is proportional to T^(n) where T is its absolute temperature. The value of n is exactly 4 for

The thermal radiation emitted by a body is proportional to T^(n) where T is its absolute temperature. The value of n is exactly 4 for

The thermal radiation emitted by a body is proportional to T^(n) where T is its absolute temperature. The value of n is exactly 4 for

If heat Q is added reversibly to a system at temperature T and heat Q. is taken away from it reversibly at temperature T., then which one of the following is correct ?