The motion of a transparent medium influences the
(b) Show that for v << c, the expression from part (a) becomes, to a good approximation,
(c) Argue for or against the view that we should expect the result to be u = (c/n) + v according to the Galilean transformation and that the presence of the term −v/n2 represents a relativistic effect appearing even at “nonrelativistic’’ speeds. (d) Evaluate u in the limit as the speed of the water approaches c.
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- When a ray of light changes media , it will refract (bend). With angles being measured from the normal, the amount of refraction can be found using Snell's Law . Traveling through any medium light will have a speed given by the equation shown where n represents the index of refraction and is the speed of light in a vacuum (3 * 10 ^ 8 * m/c) . A) In the picture of refraction shown which index of refraction is larger n1 or n2 B)In what medium does the lightbeam shown travel faster C) Measure the angles, Assuming n1 refers to vaccum what is the value of n2? How fast does light travel within n2?arrow_forwardA 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 30arrow_forwardLight passes from air into ice with part of the ray reflected and part refracted. The reflected and refracted rays are at 90° with each other. What is the velocity of light in ice? 2.11 X 108 m/s 2.01 X 108 m/s 1.94 X 108 m/s 1.73 X 108 m/sarrow_forward
- A beam of light traveling through a liquid (of index of refraction n1 = 1.3) is incident on a surface at an angle of θ1 = 55° with respect to the normal to the surface. It passes into the second medium and refracts at an angle of θ2 = 65° with respect to the normal. Part (a) Write an equation for the index of refraction of the second material. Part (b) What is the index of refraction of the second material? Part (c) Numerically, what is the light's velocity in medium 1, in meters per second? Part (d) Numerically, what is the light's velocity in medium 2, in meters per second?arrow_forwardA beam of light traveling through a liquid (of index of refraction n1 = 2.11) is incident on a surface at an angle of θ1 = 22° with respect to the normal to the surface. It passes into the second medium and refracts at an angle of θ2 = 30.5° with respect to the normal. Part (a) What is the index of refraction of the second material? Part (b) What is the light's velocity in medium 1, in meters per second? Part (c) What is the light's velocity in medium 2, in meters per second?arrow_forward(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 Barrow_forward
- 2arrow_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 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_forwardA ray of light travels from air into another medium, making an angle of θ1 = 45.0° with the normal as in the figure below. (A light ray in air is moving down and to the right and is incident on a second medium. It makes an angle θ1 with the vertical. Inside the vertical, it continues to move down and to the right but at a steeper slope than the incident ray. It makes an angle θ2 with the vertical.) (a) Find the angle of refraction θ2 if the second medium is ice. °(b) Find the angle of refraction θ2 if the second medium is flint glass. °(c) Find the angle of refraction θ2 if the second medium is carbon tetrachloride. °arrow_forward
- Physics A beam of light strikes the surface of glass (n = 1.46) at an angle of 70 degrees with respect to the normal. Find the angle of refraction inside the glass. Take the index of refraction of air n1 = 1.arrow_forwardQUESTION 14 When certain light rays pass from a vacuum into a block of an unknown material, the measured index of refraction of the material is 1.59 What is the speed of light inside the block? 2.9 x 10° m/s 4.8 x 10 m/s 9.9 x 106 m/s 1.9 x 10° m/s 1.0 x 10° m/sarrow_forwardThe speed of light in (m/s) in diamond (u = 2.42) is: 2.14 x 108 2.30 x 108 1.24 x 108 3.00 x 108arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning