An astronomer is studying a particular nebula in interstellar space using a reflecting telescope. The telescope has an objective aperture diameter of \( D_1 = 290 \) mm and a focal length of \( f_{o,1} = 1,900 \) mm.The telescope captures the nebula's image on photographic film at its prime focus with an exposure time of \( \Delta t_1 = 1.75 \) min. If the astronomer wants to produce the same light energy per unit area on the film, what should be the exposure time (in minutes) to photograph the same nebula with a smaller telescope, which has an objective with diameter \( D_2 = 60.0 \) mm and a focal length \( f_{o,2} = 900 \) mm?\[\boxed{\phantom{000\000}}\ \text{min}\]

Given That:For the larger telescope:Objective aperture diameter (D1)=290 mmFocal length of the…

Answered: An astronomer is studying a particular…

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