Assume that the Sun is a blackbody with a temperature of 6000 Kelvin.Given this temperature, and as shown in the lectures, we know that the Sun emits approximately 7.35x10⁷ W/m². Based on this calculation, and using the equations in the textbook/lectures, answer the following questions:

Question 5: Imagine that the radius of the Sun was reduced by half, but the Sun emitted the same total amount of energy. What temperature would the Sun have to be? (3 marks)

Question 6: What would happen to the Earth's solar constant and surface temperature if the radius of the Sun was reduced by a half? (3 marks)

Question 7: Would the percentage of solar radiation that is reflected and absorbed by the Earth's atmosphere change if the radius of the Sun changes? Explain and justify your answer. (3 marks)