Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 34, Problem 52CP
To determine
The reason that the given situation is impossible.
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Consider a mirror lying along the x-axis in R2. A laser starts at the point (−2, 6) and is fired in the direction
of ⟨4, −3⟩. The beam travels until it hits the mirror, where it reflects off the mirror and then travels until it
hits a wall on the line x = 20.
(a) Give a parametrization for the initial path of the laser.
(b) At what point does this beam hit the mirror?
(c) Give a parametrization for the path of the reflected beam.
(d) At what point does this beam hit the wall?
Why is the following situation impossible? The perpendicular distance of a lightbulb from a large plane mirror is twice the perpendicular distance of a person from the mirror. Light from the lightbulb reaches the person by two paths: (1) it travels to the mirror and reflects from the mirror to the person,and (2) it travels directly to the person without reflecting off the mirror. The total distance traveled by the light in the first case is 3.10 times the distance traveled by the light in the second case.
A light ray from air is incident to the surface of water ( n=1.33) at an angle of 30°. If the light ray from air is incident on the surface of a glass ( n= 1.73), what is the speed of light in the glass?
1.25 x 108 m/s
1.73 x 108 m/s
1.8 x 108 m/s
2.7 x 108 m/s
The angle of refraction in the glass is _____ degrees.
20
36
17
30
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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- A Michelson rotating mirror experiment is set up on Kauai and a mirror is positioned on Oahu. Using a 6 sided mirror scientists are going to attempt to measure the speed of light. If the distance between Kauai and Oahu (over the ocean) is 150 km, what minimum frequency of rotation would be required to successfully measure the speed of light? Light source Path of light beam Stationary mirror Waime Ka 150 km 6 sided rotating mirror Light detector Kaple Honduluarrow_forwardThe index of refraction is defined to be n = A/B where: A = speed of light in material #1 %3D B = speed of light in material #2 OA = speed of light in vacuum B = speed of light in a material A = speed of light in a material B = speed of light in vacuum A = Square root of [(speed of light in vacuum)2 + (speed of light in a material)2] B = speed of light in a materialarrow_forwardA ray of light traveling in water is incident on an interface with a flat piece of glass. The wavelength of the light in the water is 726 nm, and its wavelength in the glass is 544 nm. If the ray in water makes an angle of 56.0 with respect to the normal to the interface, what angle does the refracted ray in the glass make with respect to the normal?arrow_forward
- A ray of light traveling in water is incident on an interface with a flat piece of glass. The wavelength of the light in the water is 726 nm and its wavelength in the glass is 544 nm. If the ray in water makes an angle of 42.00 with respect to the normal to the interface, what angle does the refracted ray in the glass make with respect to the normal? (index of refraction of water = 1.333)arrow_forwardThe speed (V) of light in any transparent material is less than the speed of light c in a vacuum: V (any transparent material) = c /n, c = 3 x 10 8 m/s, n = index of refraction of a transparent material What is the speed of light in alcohol? nalcohol = 1.36arrow_forwardA light ray passing through air, strikes a glass surface at an angle of 50° from the normal surface. What is the angle in degrees between the glass surface and the reflected light ray?arrow_forward
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- A light beam is incident upon a mirror that is held horizontally. The angle that the light beam makes with the normal line is 50°. But then, the mirror is tilted at an angle of 30° above the horizontal without changing the direction of the light beam. What is the angle of incidence in degrees?arrow_forwardAn early method of measuring the speed of light makes use of a rotating slotted wheel. A beam of light passes through a slot at the outside edge of the wheel, as in the figure, travels to a distant mirror, and returns to the wheel just in time to pass through the next slot in the wheel. One such slotted wheel has a radius of 2.9 cm and 120 slots at its edge. Measurements taken when the mirror is L = 670 m from the wheel indicate a speed of light of 3.0 x 105 km/s. (a) What is the (constant) angular speed of the wheel? (b) What is the linear speed of point on the edge of the wheel? Light beam Light Mirror Source perpendicular to light beam Rotating słotted wheel (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Workarrow_forwardYou see light traveling through three materials. Light is incident at 50.0 degrees at the first interface. The index of refraction for the first material is 1.00. The angle of refraction in the second material is 35.08 degrees and the angle of refraction for the third material is 18.46 degrees. What is the index of refraction in the second material and what is the index of refraction in the third material?arrow_forward
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