(a) The planet Pluto and its Moon Charon are separatedby 19,600 km. Neglecting atmospheric effects, should the5.08-m-diameter Mount Palomar telescope be able to resolvethese bodies when they are 4.50×109km from Earth?Assume an average wavelength of 550 nm.(b) In actuality, it is just barely possible to discern that Plutoand Charon are separate bodies using an Earth-basedtelescope. What are the reasons for this?

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Chapter1: Units, Trigonometry. And Vectors
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(a) The planet Pluto and its Moon Charon are separated
by 19,600 km. Neglecting atmospheric effects, should the
5.08-m-diameter Mount Palomar telescope be able to resolve
these bodies when they are 4.50×109
km from Earth?
Assume an average wavelength of 550 nm.
(b) In actuality, it is just barely possible to discern that Pluto
and Charon are separate bodies using an Earth-based
telescope. What are the reasons for this?

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