Question

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?

Answer 1

6.67 minutes

Step-by-step explanation:

d = Diameter of first telescope = 2 m

d' = Diameter of second telescope = 6 m

Increase in diameter

`(d')/(d)=(6)/(2)=3`

Time to collect light for first telescope

t = 1 hour = 60 minutes

Time to collect light for second telescope

`t'=(60)/(3^2)\\\Rightarrow t'=6.67\ min`

The time taken would be 6.67 minutes