Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 25, Problem 52P
To determine
The reason for the following situation is impossible.
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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.
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?
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 25 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 25.3 - Prob. 25.1QQCh. 25.4 - If beam is the incoming beam in Active Figure...Ch. 25.4 - Light passes from a material with index of...Ch. 25.4 - Prob. 25.4QQCh. 25.5 - Prob. 25.5QQCh. 25.7 - Prob. 25.6QQCh. 25.7 - Prob. 25.7QQCh. 25 - Prob. 1OQCh. 25 - Prob. 2OQCh. 25 - What happens to a light wave when it travels from...
Ch. 25 - Prob. 4OQCh. 25 - The index of refraction for water is about 43....Ch. 25 - Prob. 6OQCh. 25 - Light traveling in a medium of index of refraction...Ch. 25 - Prob. 8OQCh. 25 - The core of an optical fiber transmits light with...Ch. 25 - Prob. 10OQCh. 25 - A light ray travels from vacuum into a slab of...Ch. 25 - Prob. 12OQCh. 25 - Prob. 13OQCh. 25 - Prob. 14OQCh. 25 - Prob. 1CQCh. 25 - Prob. 2CQCh. 25 - Prob. 3CQCh. 25 - Prob. 4CQCh. 25 - Prob. 5CQCh. 25 - Prob. 6CQCh. 25 - Prob. 7CQCh. 25 - Prob. 8CQCh. 25 - Prob. 9CQCh. 25 - Prob. 10CQCh. 25 - Prob. 11CQCh. 25 - Prob. 12CQCh. 25 - Prob. 1PCh. 25 - Prob. 2PCh. 25 - Prob. 3PCh. 25 - Prob. 4PCh. 25 - Prob. 5PCh. 25 - Prob. 6PCh. 25 - Prob. 7PCh. 25 - An underwater scuba diver sees the Sun at an...Ch. 25 - Prob. 9PCh. 25 - Prob. 10PCh. 25 - A ray of light is incident on a flat surface of a...Ch. 25 - A laser beam is incident at an angle of 30.0 from...Ch. 25 - Prob. 13PCh. 25 - A light ray initially in water enters a...Ch. 25 - Find the speed of light in (a) flint glass, (b)...Ch. 25 - Prob. 16PCh. 25 - Prob. 17PCh. 25 - Prob. 18PCh. 25 - Unpolarized light in vacuum is incident onto a...Ch. 25 - Prob. 20PCh. 25 - Prob. 21PCh. 25 - Prob. 22PCh. 25 - Prob. 23PCh. 25 - Prob. 24PCh. 25 - 14. A ray of light strikes the midpoint of one...Ch. 25 - Prob. 26PCh. 25 - Prob. 27PCh. 25 - Prob. 28PCh. 25 - Prob. 29PCh. 25 - Prob. 30PCh. 25 - Prob. 31PCh. 25 - Around 1965, engineers at the Toro Company...Ch. 25 - Prob. 33PCh. 25 - Prob. 34PCh. 25 - Prob. 35PCh. 25 - Prob. 36PCh. 25 - Prob. 37PCh. 25 - Prob. 38PCh. 25 - Prob. 39PCh. 25 - Prob. 40PCh. 25 - Prob. 41PCh. 25 - Prob. 42PCh. 25 - A 4.00-m-long pole stands vertically in a...Ch. 25 - Prob. 44PCh. 25 - Prob. 45PCh. 25 - Prob. 46PCh. 25 - Prob. 47PCh. 25 - Prob. 48PCh. 25 - When light is incident normally on the interface...Ch. 25 - Prob. 50PCh. 25 - Prob. 51PCh. 25 - Prob. 52PCh. 25 - The light beam in Figure P25.53 strikes surface 2...Ch. 25 - Prob. 54PCh. 25 - Prob. 55PCh. 25 - Prob. 56PCh. 25 - Prob. 57PCh. 25 - Prob. 58PCh. 25 - Prob. 59PCh. 25 - Prob. 60PCh. 25 - Prob. 61PCh. 25 - Prob. 62P
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- A ray of light strikes a plane mirror at a 45° angle of incidence. The mirror is then rotated by 19° into the position shown in red in the drawing, while the incident ray is kept fixed. (a) Through what angle does the reflected ray rotate? (b) What is the answer to part (a) if the angle of incidence is 52° instead of 45°? Incident ray 45° (a) Number Reflected ray before rotation of mirror (b) Number i Reflected ray after rotation of mirror 19⁰ Units Unitsarrow_forwardIn an experiment designed to measure the speed of light, a laser is aimed at a mirror that is 50.0 km due north. A detector is placed 117 m due east of the laser. The mirror is to be aligned so that light from the laser reflects into the detector. (a) When properly aligned, what angle should the normal to the surface of the mirror make with due south? (b) Suppose the mirror is misaligned, so that the actual angle between the normal to the surface and due south is too large by 0.0048. By how many meters (due east) will the reflected ray miss the detector?arrow_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_forward
- 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_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_forwardA 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_forward
- Two mirrors are held at an angle of Ψ = 102 degrees with respect to one another. A ray of light is incident of the first mirror at an angle of θ. When it reflects off of the mirror to the next it makes an angle of Φ = 11.5 degrees. Ψ = 102 Φ = 11.5 Part (a) Write an expression for the angle of incidence θ. θ = Part (b) Numerically what is this angle? θ =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_forwardDistances in space are often quoted in units of light years, the distance light travels in one year (365.25 days). How many meters is a light year? Provide the solution: x 1015 marrow_forward
- Two plane mirrors make the angle a = 33.0 degrees between them. A ray of light incident on one of the mirrors is reflected and it hits the second mirror. Find the angle between the ray incident on the first mirror and the ray reflected off of the second mirror.arrow_forwardThe speed of light in a vacuum is 3 x 108 m/s. What is the ratio of its speed in water (n = 1.33) to its speed in a vacuum? Enter your answer as a percentagearrow_forwardIn an experiment designed to measure the speed of light, a laser is aimed at a mirror that is 53.0 km due north. A detector is placed 110 m due east of the laser. The mirror is to be aligned so that light from the laser refelects into the detector. (a) When properly aligned, what angle should the normal to the surface of the mirror make with due south? (b) Suppose the mirror is misaligned, so that the actual angle between the normal to the surface and due south is too large by 0.0020%. By how many meters (due east) will the reflected ray miss the detector? (a) Number 1 0.059 (b) Number Mirror Laser Units (degrees) Units m E Detectorarrow_forward
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