A 1 m telescope can collect a given amount of light in 1 hour. Under the...
A 1 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 7 m telescope to perform the same task?
Homework Answers
Given Data
distance d1 = 1 m
time T 1= 1 hour = 60 min
distance d2 = 7 m
time T 2 = ?
Solution :-
A telescope collects light in a rate proportional to the area of its primary mirror which is proportional to the diameter squared.
T1/T2= d2^2/d1^2
T2 = T1*( d1^2/d2^2)
T2 = 60 min*(1/7)^2
= 60 min / 49
= 1.22 min --> Answer
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