## Related questions with answers

On a bright clear day, you are at the top of a mountain and looking at a city $12 \mathrm{~km}$ away. There are two tall towers $20.0 \mathrm{~m}$ apart in the city. Can your eye resolve the two towers if the diameter of the pupil is $4.0 \mathrm{~mm}$ ? If not, what should be the minimum magnification power of the telescope needed to resolve the two towers? In your calculations use $550 \mathrm{~nm}$ for the wavelength of the light.

Solution

VerifiedIn this problem we consider an eye's pupil of diameter $D = 4.00\mathrm{~mm} = 4.00\cdot 10^{-3}\mathrm{~m}$ which is a distance $r = 12\mathrm{~km} = 12000\mathrm{~m}$ away from objects (towers).

Assuming that the wavelength is $\lambda = 550\mathrm{~nm} = 550\cdot 10^{-9}\mathrm{~m}$, we have to determine whether an eye can resolve objects 20.0 m apart.

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