An astronomer is studying a particular nebula in interstellar space using a reflecting telescope. The telescope has an objective aperture diameter of D₁ = 290 mm and focal length of fo,1 = 1,900 mm. The telescope captures the nebula's image on photographic film at its prime focus with an exposure time of At₁ = 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 D₂ = 60.0 mm diameter and a focal length f0,2 = 900 mm? min
An astronomer is studying a particular nebula in interstellar space using a reflecting telescope. The telescope has an objective aperture diameter of D₁ = 290 mm and focal length of fo,1 = 1,900 mm. The telescope captures the nebula's image on photographic film at its prime focus with an exposure time of At₁ = 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 D₂ = 60.0 mm diameter and a focal length f0,2 = 900 mm? min
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![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?
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Transcribed Image Text: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?
\[
\boxed{\phantom{000\000}}\ \text{min}
\]
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