What Would We See if the Sun Suddenly Darkened?

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If the Sun's surface suddenly darkened, Earth would not observe this change for approximately 8 minutes, the time it takes for light to travel from the Sun to Earth. Observations would reflect the Sun's previous brightness during that interval. The discussion emphasizes that significant changes in brightness cannot be perceived instantaneously due to the finite speed of light. Additionally, the geometry of the Sun as a sphere means that the center is closer than the edges, affecting how changes in brightness might be perceived. Understanding these principles is crucial for accurately addressing the question posed.
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Homework Statement


Explain, as quantitatively as you can, what would be observed from Earth if the Sun's surface instantaneously darkened and hence explain why the brightness of a body cannot significantly alter on time scales significantly less than the light travel time across it.


Homework Equations



Hubble's constant = H
velocity of galaxy = v
distance from Earth = d
d = v / H

redshift = z
speed of light = c
z = v / c

The Attempt at a Solution



The first thing that came to my mind is that it will take ~ 8 minutes for the photons to reach the Earth, meaning that any observation from the Earth would be 8 min after the event. The Sun is still receding from the Earth. However, we will not be able to calculate the redshift.

Am I nowhere near what they are looking for in the answer?

thanks x
 
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Think about the fact that the Sun is a sphere (almost!), and that the centre of the visible sphere is nearer to you than the edge.
 
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