   Chapter 27, Problem 64PE

Chapter
Section
Textbook Problem

You are told not to shoot until you see the whites of their eyes. If the eyes are separated by 6.5 cm and the diameter of your pupil is 5.0 mm, at what distance can you resolve the two eyes using light of wavelength 555 nm?

To determine

At what distance can you resolve the two eyes using light of wavelength 555 nm if the eyes are separated by 6.5 cm and the diameter of your pupil is 5.0 mm?

Explanation

Given info:

D=5mm=5×103mx=6.5cm=6.5×102mλ=555nm=5.55×107m

Formula used:

Angle,

θ=1.22λD , λ is the wavelength and D is the diameter of the aperture, lens, mirror etc.

Resolving power,

x=dθ

Calculation:

We have,

θ=1

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