So an A4-meter telescope has 16x the light collecting area of a 1-meter telescope. The largest telescopes currently in use have a diameter of about 10 meters
The rate through which light is collected by a telescope is proportional to the size/area of its prime lens, which is proportional to its diameter^2.
Therefore;
T1 T2 D22 D12
Thus, T2 = T1 x D1 D2
Where, T = Amount of time
D = Diameter of the lens/mirror
T1 = 3 hours = 180 minutes
D1 = 4 m
D2 = 8 m
So, T2 = 180min x
45minutes.
Therefore, A 8 m telescope would be required 45 minutes to perform the same task.
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