The surface temperature of the sun is $$T0$$ and it is at average distance d from a planet. The radius of the sun is R. The temperature at which planet radiates the energy is

Question

The surface temperature of the sun is $$T0$$  and it is at average distance d from a planet. The radius of the sun is R. The temperature at which planet radiates the energy is

Infinity Learn · Accepted Answer

r $$=$$ Radius of $$planetT1$$ $$=$$ Temperature of planet at which energy is radiated Power radiated by Sun, P $$=$$ $$4$$$$π$$$$R2$$σ$$T04Energy$$ received by planet $$=$$ $$P4$$$$π$$$$d2$$×π$$r2$$ $$=$$ $$R2T04$$$$π$$$$r2$$σ$$d2Energy$$ radiated by planet $$=$$ $$4$$$$π$$$$2$$σ$$T14For$$ thermal equilibrium,$$R2T04$$π $$r2$$σ$$d2$$ $$=$$ $$4$$$$π$$$$r2$$σ$$T14R2T04$$ $$=$$ $$4d2T14T1$$ $$=$$ $$ToR2d$$

The surface temperature of the sun is $T_{0}$ and it is at average distance d from a planet. The radius of the sun is R. The temperature at which planet radiates the energy is

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The surface temperature of the sun is T0 and it is at average distance d from a planet. The radius of the sun is R. The temperature at which planet radiates the energy is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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The surface temperature of the sun is $T_{0}$ and it is at average distance d from a planet. The radius of the sun is R. The temperature at which planet radiates the energy is