What Happens to Earth's Temperature If the Sun Stops Radiating?

In summary, the temperature of the Earth would depend on the rate of change of temperature, which can be determined using Newton's law for heat transfer or Fourier's law. This equation takes into account the difference between the Earth's temperature and the background temperature of the cosmos, as well as the time it takes for electromagnetic waves to reach the Earth from the sun. Using this equation, we can model and predict how the temperature of the Earth would change if the sun suddenly stopped radiating.
  • #1
jau
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Homework Statement


How does the temperature of the Earth change when the sun suddenly stop radiating?:confused:
how will the temperature vary with time? Please help me solve this one. can we answer this one using models or simply through theories? can you explain how?

Homework Equations





The Attempt at a Solution

 
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  • #2
I think one useful equation is Newton's law for heat transfer, or it may be called Fourier's law for uniform temperature distribution or smth. similar. Anyway, it says that the rate of change of temperature of proportional to the difference between the object and its surroundings, mathematically

[tex]\frac{dT}{dt} = -k (T-T_0)[/tex]

where T_0=4 K is the background temperature of the cosmos and k is a constant, depending on various heat properties of the Earth.
 
  • #3
but, I guess you also need to consider the time, it takes EMs to reach the earth
 

FAQ: What Happens to Earth's Temperature If the Sun Stops Radiating?

What would happen if the sun stopped radiating?

If the sun were to suddenly stop radiating energy, the Earth's temperature would rapidly drop and eventually become too cold for life to survive. The Earth's atmosphere would freeze and the oceans would turn to ice, leading to a global extinction event.

Is it possible for the sun to stop radiating?

No, it is not possible for the sun to suddenly stop radiating energy. The sun is powered by nuclear fusion, a continuous process that produces massive amounts of energy. It would take millions of years for the sun to naturally stop radiating energy.

What would be the cause of the sun stopping its radiation?

The sun will eventually run out of hydrogen fuel, which is necessary for nuclear fusion to occur. However, this process will take billions of years and the sun will slowly expand and become a red giant before eventually dying out.

How would life on Earth be affected if the sun stopped radiating?

If the sun were to stop radiating energy, life on Earth would not be able to survive. Plants would not be able to photosynthesize and produce oxygen, leading to a lack of food and oxygen for animals. The Earth's climate and weather patterns would also be drastically altered.

Can we prevent the sun from stopping its radiation?

No, we cannot prevent the sun from eventually running out of fuel and stopping its radiation. However, as humans, we can work towards reducing our impact on the Earth's climate and ensuring the sustainability of life on our planet for as long as possible.

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