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A planet radiates heat at a rate proport...

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 statements is true?

A

The planet's surface temperature varies inversely as the distance of the sun

B

The planet's surface temperature varies directly as the square of its distance from the sun

C

The planet's surface temperature varies inversely as the square root of its distance from the sun

D

The planet's surface temperature is proportional to the fourth power of distance from the sun

Text Solution

Verified by Experts

The correct Answer is:
C
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