EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 8220100654428
Author: Jewett
Publisher: Cengage Learning US
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Chapter 35, Problem 35.85CP
To determine
The law of reflection by using the Fermat’s principle.
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I need help with part a and b of this question! Thanks!
For an independent study project, you design an experiment to measure the speed of light. You propose to bounce laser light off a mirror that is 51.0 km due east and have it detected by a light sensor that is 129 m due south of the laser. The first problem is to orient the mirror so that the laser light reflects off the mirror and into the light sensor.
(a) Determine the angle that the normal to the mirror should make with respect to due west.
ANS:____º
Since you can read your protractor only so accurately, the mirror is slightly misaligned and the actual angle between the normal to the mirror and due west exceeds the desired amount by 0.003°. Determine how far south you need to move the light sensor in order to detect the reflected laser light.
ANS:_____ m
a. A ray of light starts at position (x,y)=(−3.0,1.0) cm and moves along 35∘ counterclockwise from the +x−axis and intersects a solid glass sphere at point A, then exits the glass sphere at point B. If the center of a glass sphere is at (5.0,0) cm and the radius of the sphere is 7.0 cm, find the locations of point A and B, then draw their normal vector, incident ray, refracted ray, and reflected ray. Use your compass and ruler together with laws of reflection and refraction.
please answer question a only. thank you!
(Snell's Law) Let v be the velocity of light in air and w be the velocity of light in water. According to Fermat's principle, a ray of light will travel from a point A in the air to a point B in the water by a path ACB
that minimizes the time taken, Find the ratio
sin(01)
sin(02)
in terms of v and w.
A
C
02
B
Chapter 35 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 35 - Prob. 35.1QQCh. 35 - If beam is the incoming beam in Figure 34.10b,...Ch. 35 - Light passes from a material with index of...Ch. 35 - In photography, lenses in a camera use refraction...Ch. 35 - Prob. 35.5QQCh. 35 - In each of the following situations, a wave passes...Ch. 35 - A source emits monochromatic light of wavelength...Ch. 35 - Carbon disulfide (n = 1.63) is poured into a...Ch. 35 - A light wave moves between medium 1 and medium 2....Ch. 35 - What happens to a light wave when it travels from...
Ch. 35 - The index of refraction for water is about 43....Ch. 35 - Prob. 35.7OQCh. 35 - What is the order of magnitude of the time...Ch. 35 - Prob. 35.9OQCh. 35 - Prob. 35.10OQCh. 35 - A light ray navels from vacuum into a slab of...Ch. 35 - Suppose you find experimentally that two colors of...Ch. 35 - Prob. 35.13OQCh. 35 - Which color light refracts the most when entering...Ch. 35 - Prob. 35.15OQCh. 35 - Prob. 35.1CQCh. 35 - Prob. 35.2CQCh. 35 - Prob. 35.3CQCh. 35 - The F-117A stealth fighter (Fig. CQ35.4) is...Ch. 35 - Prob. 35.5CQCh. 35 - Prob. 35.6CQCh. 35 - Prob. 35.7CQCh. 35 - Prob. 35.8CQCh. 35 - A laser beam passing through a non homogeneous...Ch. 35 - Prob. 35.10CQCh. 35 - Prob. 35.11CQCh. 35 - (a) Under what conditions is a mirage formed?...Ch. 35 - Figure CQ35.13 shows a pencil partially immersed...Ch. 35 - Prob. 35.14CQCh. 35 - Prob. 35.15CQCh. 35 - Prob. 35.16CQCh. 35 - Prob. 35.17CQCh. 35 - Prob. 35.1PCh. 35 - The Apollo 11 astronauts set up a panel of...Ch. 35 - Prob. 35.3PCh. 35 - As a result of his observations, Ole Roemer...Ch. 35 - The wavelength of red helium-neon laser light in...Ch. 35 - An underwater scuba diver sees the Sun at an...Ch. 35 - A ray of light is incident on a flat surface of a...Ch. 35 - Figure P35.8 shows a refracted light beam in...Ch. 35 - Prob. 35.9PCh. 35 - A dance hall is built without pillars and with a...Ch. 35 - Prob. 35.11PCh. 35 - A ray of light strikes a flat block of glass (n =...Ch. 35 - A prism that has an apex angle of 50.0 is made of...Ch. 35 - Prob. 35.14PCh. 35 - A light ray initially in water enters a...Ch. 35 - A laser beam is incident at an angle of 30.0 from...Ch. 35 - A ray of light strikes the midpoint of one face of...Ch. 35 - Prob. 35.18PCh. 35 - When you look through a window, by what time...Ch. 35 - Two flat, rectangular mirrors, both perpendicular...Ch. 35 - Prob. 35.21PCh. 35 - Prob. 35.22PCh. 35 - Two light pulses are emitted simultaneously from a...Ch. 35 - Light passes from air into flint glass at a...Ch. 35 - A laser beam with vacuum wavelength 632.8 nm is...Ch. 35 - A narrow beam of ultrasonic waves reflects off the...Ch. 35 - Prob. 35.27PCh. 35 - A triangular glass prism with apex angle 60.0 has...Ch. 35 - Light of wavelength 700 nm is incident on the face...Ch. 35 - Prob. 35.30PCh. 35 - Prob. 35.31PCh. 35 - Prob. 35.32PCh. 35 - Prob. 35.33PCh. 35 - A submarine is 300 m horizontally from the shore...Ch. 35 - Prob. 35.35PCh. 35 - The index of refraction for red light in water is...Ch. 35 - A light beam containing red and violet wavelengths...Ch. 35 - The speed of a water wave is described by v=gd,...Ch. 35 - Prob. 35.39PCh. 35 - Prob. 35.40PCh. 35 - A glass optical fiber (n = 1.50) is submerged in...Ch. 35 - For 589-nm light, calculate the critical angle for...Ch. 35 - Prob. 35.43PCh. 35 - A triangular glass prism with apex angle has an...Ch. 35 - Prob. 35.45PCh. 35 - Prob. 35.46PCh. 35 - Consider a common mirage formed by superheated air...Ch. 35 - A room contains air in which the speed of sound is...Ch. 35 - An optical fiber has an index of refraction n and...Ch. 35 - Prob. 35.50PCh. 35 - Prob. 35.51APCh. 35 - Consider a horizontal interface between air above...Ch. 35 - Prob. 35.53APCh. 35 - Why is the following situation impossible? While...Ch. 35 - Prob. 35.55APCh. 35 - How many times will the incident beam in Figure...Ch. 35 - When light is incident normally on the interface...Ch. 35 - Refer to Problem 37 for its description of the...Ch. 35 - A light ray enters the atmosphere of the Earth and...Ch. 35 - A light ray enters the atmosphere of a planet and...Ch. 35 - Prob. 35.61APCh. 35 - Prob. 35.62APCh. 35 - Prob. 35.63APCh. 35 - Prob. 35.64APCh. 35 - The light beam in Figure P35.65 strikes surface 2...Ch. 35 - Prob. 35.66APCh. 35 - A 4.00-m-long pole stands vertically in a...Ch. 35 - Prob. 35.68APCh. 35 - A 4.00-m-long pole stands vertically in a...Ch. 35 - As sunlight enters the Earths atmosphere, it...Ch. 35 - Prob. 35.71APCh. 35 - A ray of light passes from air into water. For its...Ch. 35 - As shown in Figure P35.73, a light ray is incident...Ch. 35 - Prob. 35.74APCh. 35 - Prob. 35.75APCh. 35 - Prob. 35.76APCh. 35 - Prob. 35.77APCh. 35 - Students allow a narrow beam of laser light to...Ch. 35 - Prob. 35.79APCh. 35 - Figure P34.50 shows a top view of a square...Ch. 35 - Prob. 35.81CPCh. 35 - Prob. 35.82CPCh. 35 - Prob. 35.83CPCh. 35 - Pierre de Fermat (16011665) showed that whenever...Ch. 35 - Prob. 35.85CPCh. 35 - Suppose a luminous sphere of radius R1 (such as...Ch. 35 - Prob. 35.87CP
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