While working in your garden on a good summer and sunny day, you accidently spill oil into your swimming pool. Note that the refractive index of this oil is 1.38 and the refractive index of water is 1.33. The oil spreads over the surface in a uniform manner. As you look at 28 (from the Normal) down at the surface, you see light whose colour suggests that the wavelength 600 nm is not being reflected. a) Present an annotated schematic on your answer sheet showing clearly the path taken by the light from incidence on the surface of the oil layer until the exit of the surface of the oil layer. b) Write the expression of the phase shift of the light on reflection. c) Write the expression of the phase shift of the refracted light from the point of refraction until the point of exit.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question

How do I do the questions a, b and c?

While working in your garden on a good summer and sunny day, you accidently spill oil into
your swimming pool. Note that the refractive index of this oil is 1.38 and the refractive index
of water is 1.33. The oil spreads over the surface in a uniform manner. As you look at
28°(from the Normal) down at the surface, you see light whose colour suggests that the
wavelength 600 nm is not being reflected.
a) Present an annotated schematic on your answer sheet showing clearly the path
taken by the light from incidence on the surface of the oil layer until the exit of the
surface of the oil layer.
b) Write the expression of the phase shift of the light on reflection.
c) Write the expression of the phase shift of the refracted light from the point of
refraction until the point of exit.
d) Write the total phase change.
e) Write the condition of reflection (constructive or destructive according to the
problem).
) What is the minimum thickness of the oil film that will fulfils the requirements
stipulated in the statement of the problem?
g) What will be the wavelength of the primary transmitted light observed by one of
your family member swimming under water in the pool (assuming that he is
exactly very well positioned to observe the transmitted light split from that you
are observing under reflection).
Transcribed Image Text:While working in your garden on a good summer and sunny day, you accidently spill oil into your swimming pool. Note that the refractive index of this oil is 1.38 and the refractive index of water is 1.33. The oil spreads over the surface in a uniform manner. As you look at 28°(from the Normal) down at the surface, you see light whose colour suggests that the wavelength 600 nm is not being reflected. a) Present an annotated schematic on your answer sheet showing clearly the path taken by the light from incidence on the surface of the oil layer until the exit of the surface of the oil layer. b) Write the expression of the phase shift of the light on reflection. c) Write the expression of the phase shift of the refracted light from the point of refraction until the point of exit. d) Write the total phase change. e) Write the condition of reflection (constructive or destructive according to the problem). ) What is the minimum thickness of the oil film that will fulfils the requirements stipulated in the statement of the problem? g) What will be the wavelength of the primary transmitted light observed by one of your family member swimming under water in the pool (assuming that he is exactly very well positioned to observe the transmitted light split from that you are observing under reflection).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Relativistic speed and time
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.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON