Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 34, Problem 37AP
When light is incident normally on the interface between two transparent optical media, the intensity of the reflected light is given by the expression
In this equation, S1 represents the average magnitude of the Poynting vector in the incident light (the incident intensity),
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A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 29 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33.
Write an expression for the reflection angle ψ, with respect to the surface.
Refractive Index (n) is a ratio of the speed of light in a vacuum to the speed of light in materials
such as glass, water, plastic, etc. Using Snell's Law, and given an air to glass interface with and
angle of incidence of 15 degrees, what will be the angle of refractance R if the refractive index of
the glass is 1.5 ?
Snell's Law: n; (sin I) = n, (sin R)
So, Sin R = n; (sin I) / n
And, R = arcsin (n; (sin I) / n,)
For each angle I, find angle R:
5. I=0, R =
6. I=45, R =
7. I= 60, R =
8. I = 75, R =
=
arcsin (1(.259)/1.5) = arcsin (.172) = 9.9 degrees
Wavelength in Air-
Light-
Angle
of Light
-Wavelength in Glass
Normal
90°
R
Air
nj-1
Glass
A ray of light travelling in glass having a refractive index nglass = 1.5, is incident at an angle 0,
on the glass-air interface. If a thin layer of liquid (niquid = 1.33) is poured on the glass air
interface, then at what angle would the ray emerge from the liquid -air interface?
air (nair)
air (Nair)
liquid (njiquid)
glass (ng)
glass (ng)
90.0°
82.5°
48.3°
35.7°
45.6°
Chapter 34 Solutions
Physics for Scientists and Engineers
Ch. 34.3 - Prob. 34.1QQCh. 34.4 - If beam is the incoming beam in Figure 34.10b,...Ch. 34.4 - Light passes from a material with index of...Ch. 34.6 - In photography, lenses in a camera use refraction...Ch. 34.7 - Prob. 34.5QQCh. 34 - Prob. 1PCh. 34 - The Apollo 11 astronauts set up a panel of...Ch. 34 - As a result of his observations, Ole Roemer...Ch. 34 - A dance hall is built without pillars and with a...Ch. 34 - You are working for an optical research company...
Ch. 34 - Prob. 6PCh. 34 - Prob. 7PCh. 34 - Two flat, rectangular mirrors, both perpendicular...Ch. 34 - Prob. 9PCh. 34 - A ray of light strikes a flat block of glass (n =...Ch. 34 - Prob. 11PCh. 34 - Prob. 12PCh. 34 - A laser beam is incident at an angle of 30.0 from...Ch. 34 - A ray of light strikes the midpoint of one face of...Ch. 34 - When you look through a window, by what time...Ch. 34 - Light passes from air into flint glass at a...Ch. 34 - You have just installed a new bathroom in your...Ch. 34 - A triangular glass prism with apex angle 60.0 has...Ch. 34 - You are working at your university swimming...Ch. 34 - Prob. 20PCh. 34 - Prob. 21PCh. 34 - A submarine is 300 m horizontally from the shore...Ch. 34 - Prob. 23PCh. 34 - A light beam containing red and violet wavelengths...Ch. 34 - Prob. 25PCh. 34 - The speed of a water wave is described by v=gd,...Ch. 34 - For 589-nm light, calculate the critical angle for...Ch. 34 - Prob. 28PCh. 34 - A room contains air in which the speed of sound is...Ch. 34 - Prob. 30PCh. 34 - An optical fiber has an index of refraction n and...Ch. 34 - Consider a horizontal interface between air above...Ch. 34 - How many times will the incident beam in Figure...Ch. 34 - Consider a beam of light from the left entering a...Ch. 34 - Why is the following situation impossible? While...Ch. 34 - Prob. 36APCh. 34 - When light is incident normally on the interface...Ch. 34 - Refer to Problem 37 for its description of the...Ch. 34 - A light ray enters the atmosphere of the Earth and...Ch. 34 - A light ray enters the atmosphere of a planet and...Ch. 34 - Prob. 41APCh. 34 - Prob. 42APCh. 34 - Prob. 43APCh. 34 - Prob. 44APCh. 34 - Prob. 45APCh. 34 - As sunlight enters the Earths atmosphere, it...Ch. 34 - A ray of light passes from air into water. For its...Ch. 34 - Prob. 48APCh. 34 - Prob. 49APCh. 34 - Figure P34.50 shows a top view of a square...Ch. 34 - Prob. 51APCh. 34 - Prob. 52CPCh. 34 - Prob. 53CPCh. 34 - Pierre de Fermat (16011665) showed that whenever...Ch. 34 - Prob. 55CPCh. 34 - Suppose a luminous sphere of radius R1 (such as...Ch. 34 - Prob. 57CP
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