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A 2-m telescope can collect a given amount of light in 1 hour. Under the same observing conditions, how much time would be required for a 6 m telescope to perform the same task?

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boffeemadrid

Answer:

6.67 minutes

Explanation:

d = Diameter of first telescope = 2 m

d' = Diameter of second telescope = 6 m

Increase in diameter

[tex]\dfrac{d'}{d}=\dfrac{6}{2}=3[/tex]

Time to collect light for first telescope

t = 1 hour = 60 minutes

Time to collect light for second telescope

[tex]t'=\dfrac{60}{3^2}\\\Rightarrow t'=6.67\ min[/tex]

The time taken would be 6.67 minutes

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