Explanation Introduction: The resolution limit for the pupil of an eye is defined by the Rayleigh’s criteria, α r e s = 1.22 λ D Here, D is the diameter of the pupil lens through which light enters, λ is the wavelength of light and α r e s is the resolution limit measured in radian. The distance between the two objects considering their angular separation is, d = α r e s l Here, α r e s is the small angular separation between the two objects and l is the distance between the objects and the eyes. Explanation: Assume: 1. The Rayleigh’s criteria uses small angle approximation, that is sin α r e s ≈ α r e s . 2. Assuming the wavelength of light to be 550 nm which is dominant as a visible wavelength 3. Assuming the diameter of the pupil is 0.5 cm and the distance between the car’s headlight is 1.5 m. Write the expression for the resolution limit of the eyes, α r e s = 1.22 λ D Substitute 500 nm for λ and 0.5 cm for D , α r e s = 1.22 ( 500 nm ) 0.5 cm = 1.22 ( 500 nm ( 1 m 10 9 nm ) ) 0

2nd Edition

ISBN: 9780134601823

Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan

Publisher: Pearson,

See similar textbooks

Concept explainers

Dispersion of White Light

Snell’s law is a formula that gives a relation between the angle of incidence and angle of refraction and is given as:

Question

Chapter 24, Problem 69GP

To determine

The maximum distance between a car and a person within which the person’s eyes can resolve the two headlights, along with the assumptions made.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 24, Problem 68GP

Chapter 24, Problem 70GP

Students have asked these similar questions

Examine the data and % error values in Data Table 2 where the mass of the pendulum bob increased but the angular displacement and length of the simple pendulum remained constant. Describe whether or not your data shows that the period of the pendulum depends on the mass of the pendulum bob, to within a reasonable percent error.

Please graph, my software isn't working - Data Table 4 of Period, T vs √L . (Note: variables are identified for graphing as y vs x.) On the graph insert a best fit line or curve and display the equation on the graph. Thank you!

I need help with problems 93 and 94

Chapter 24 Solutions

College Physics

Ch. 24 - Review Question 24.1 Explain why we observe...Ch. 24 - Prob. 2RQ Ch. 24 - Review Question 24.3 How do the locations of the...Ch. 24 - Review Question 24.4 If we look through a grating...Ch. 24 - Review Question 24.5 Equation (24.6),...Ch. 24 - Review Question 24.6 Stars are so far away that...Ch. 24 - Prob. 7RQ Ch. 24 - Multiple Choice Questions 1. You shine a...Ch. 24 - Multiple Choice Questions When you shine a very...Ch. 24 - Prob. 3MCQ

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The maximum distance between a car and a person within which the person’s eyes can resolve the two headlights, along with the assumptions made.

Solution Summary: The author explains the Rayleigh's criteria for determining the resolution limit for the pupil of an eye and the distance between the two objects.

Concept explainers

The maximum distance between a car and a person within which the person’s eyes can resolve the two headlights, along with the assumptions made.

Want to see the full answer?

Chapter 24 Solutions