The limit to the eye’s acuity is actually related to diffractionby the pupil.(a) What is the angle between two just-resolvable points oflight for a 3.00-mm-diameter pupil, assuming an averagewavelength of 550 nm?(b) Take your result to be the practical limit for the eye. Whatis the greatest possible distance a car can be from you if youcan resolve its two headlights, given they are 1.30 m apart?(c) What is the distance between two just-resolvable pointsheld at an arm’s length (0.800 m) from your eye?(d) How does your answer to (c) compare to details younormally observe in everyday circumstances?

The limit to the eye’s acuity is actually related to diffractionby the pupil.(a) What is the angle between two just-resolvable points oflight for a 3.00-mm-diameter pupil, assuming an averagewavelength of 550 nm?(b) Take your result to be the practical limit for the eye. Whatis the greatest possible distance a car can be from you if youcan resolve its two headlights, given they are 1.30 m apart?(c) What is the distance between two just-resolvable pointsheld at an arm’s length (0.800 m) from your eye?(d) How does your answer to (c) compare to details younormally observe in everyday circumstances?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 53P: The analysis shown below also applies to diffraction gratings with lines separated by a distance d....

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Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

The limit to the eye’s acuity is actually related to diffraction
by the pupil.
(a) What is the angle between two just-resolvable points of
light for a 3.00-mm-diameter pupil, assuming an average
wavelength of 550 nm?
(b) Take your result to be the practical limit for the eye. What
is the greatest possible distance a car can be from you if you
can resolve its two headlights, given they are 1.30 m apart?
(c) What is the distance between two just-resolvable points
held at an arm’s length (0.800 m) from your eye?
(d) How does your answer to (c) compare to details you
normally observe in everyday circumstances?

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