Does Fermat’s principle of least time apply to refraction and reflection? Does Fermat’s principle of least time apply to refraction and reflection? (A) It does not apply to either reflection or refraction. (B) It applies both to refraction and reflection . (C) It applies only to reflection. (D) It applies only to refraction.

Does Fermat’s principle of least time apply to refraction and reflection? Does Fermat’s principle of least time apply to refraction and reflection? (A) It does not apply to either reflection or refraction. (B) It applies both to refraction and reflection . (C) It applies only to reflection. (D) It applies only to refraction.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter25: Reflection And Refraction Of Light

Section: Chapter Questions

Problem 7OQ: Light traveling in a medium of index of refraction n1 is incident on another medium having an index...

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Consider a beam of light traveling from a medium with a low index of refraction, n1 , to a new medium with a higher index of refraction, n2. (a) Will total internal reflection be possible in this situation? (b) If so, describe the conditions necessary for it to occur; if not, explain why not.
Consider these indices of refraction: glass: 1.52, air: 1.0003, water: 1.333. Put these materials in order from the one in which the speed of light is fastest to the one in which it is slowest. The speed of light in water > the speed of light in air > the speed of light in glass. The speed of light in glass > the speed of light in water > the speed of light in air. The speed of light in air > the speed of light in water > the speed of light in glass. The speed of light in glass > the speed of light in air > the speed of light in water. What is the term for the minimum angle at which a light ray is reflected back into a material and cannot pass into the surrounding medium? critical angle 3. angle of refraction incident angle 4. angle of reflection What does c represent in the equation ? the critical angle 3. the speed of light in a vacuum the refractive index…
The index of refraction for water is about 4/3. What happens to light when it travels from air to water? Its speed decreases to 3c/4, and its wavelength decreases by a factor of 3/4 Its speed decreases to 3c/4 and its wavelength increases by a factor of 4/3. Its speed increases to 4c/3, and its frequency decreases by a factor of 3/4. Its speed decreases to 3c/4, and its frequency increases b 4/3.
Derive the law of reflection (θ'1 = θ1) from Fermat's principle.
The index of refraction for water is about 43. What happens as a beam of light travels from air into water? (a) Its speed increases to 43c, and its frequency decreases. (b) Its speed decreases to 34c, and its wavelength decreases by a factor of 34. (c) Its speed decreases to 34c, and its wavelength increases by a factor of 43. (d) Its speed and frequency remain the same. (e) Its speed decreases to 34c, and its frequency increases.
What happens to a light wave when it travels from air into glass? (a) Its speed remains the same. (b) Its speed increases. (c) Its wavelength increases. (d) Its wavelength remains the same. (e) Its frequency remains the same.
Light traveling in a medium of index of refraction n1 is incident on another medium having an index of refraction n2. Under which of the following conditions can total internal reflection occur at the interface of the two media? (a) The indices of refraction have the relation n2 n1. (b) The indices of refraction have the relation n1 n2. (c) Light travels slower in the second medium than in the first. (d) The angle of incidence is less than the critical angle. (e) The angle of incidence must equal the angle of refraction.
Consider a layer of Oil, Glass, and Air where the oil/glass boundary is parallel to the glass/air boundary. Let the index of refraction for the glass be 1.55 and the index of refraction for the oil to be 1.31. At what angle relative to the normal should a ray of light be directed upon the oil/glass interface such that it strikes the glass/air interface at the critical angle?
Do you think Huygens’ principle is important? Why? What type of experimental evidence indicates that light is a wave? Give an example of a wave characteristic of light that is easily observed outside the laboratory.
Figures (a) and (b) show refraction of a ray in air incident at 60° with the normal to a glass- air and water-air interface, respectively. Predict the angle of refraction in glass when the angle of incidence in water is 45° with the normal to a water-glass interface (figure c). Air 35 Glass 20. 60 Glass Air 60 Water 45 Water (a) (b) (c)
Does the law of reflection depend on the curvature of the surface? Using the available data (curved surface) is it possible to identify a point where the reflected rays meet? Is this point constant for curved surfaces assuming it is circular? Why? Trial Angle of Incidence Angle of Reflection % Difference 1 47.85 46.68 6.29% 2 28.80 28.88 2.42% 3 38.39 38.57 1.97% 4 0.91 0.61 3.78% 5 4.02 3.93 4.00% Average 16.994 16.734 1.54% Standard Deviation 8.41 9.15 6.24%
Why can't you see your reflection on a wall? (a) only mirrors reflect people's images (b) light rays are reflected in many different directions from the uneven surface. (c) light rays bend around the wall instead of reflecting off of it