Snell's Law states that when a ray passes from one medium into another, the sine of the angle of incidence a varies directly with the sine of the angle of refraction B. This phenomenon is modeled by the formula sin a = ksin B, where k is called the index of refraction. Note the angle 0 is the angle at which the light strikes the surface, so that a = 90° – 0. a. A ray of light passes from air into water, striking the water at an angle of 55°. Find the angle of incidence a and the angle of refraction B, if the index of refraction for water is k = 1.33. b. Find the index of refraction for ethyl alcohol if a beam of light strikes the surface of this medium at an angle 40° and produces an angle of refraction B = 34.3°. Use the index to find the angle of incidence if a second beam of light created an angle of refraction measuring 15°. %3D

Snell's Law states that when a ray passes from one medium into another, the sine of the angle of incidence a varies directly with the sine of the angle of refraction B. This phenomenon is modeled by the formula sin a = ksin B, where k is called the index of refraction. Note the angle 0 is the angle at which the light strikes the surface, so that a = 90° – 0. a. A ray of light passes from air into water, striking the water at an angle of 55°. Find the angle of incidence a and the angle of refraction B, if the index of refraction for water is k = 1.33. b. Find the index of refraction for ethyl alcohol if a beam of light strikes the surface of this medium at an angle 40° and produces an angle of refraction B = 34.3°. Use the index to find the angle of incidence if a second beam of light created an angle of refraction measuring 15°. %3D

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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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.
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.
Unpolarized light in vacuum is incident onto a sheet of glass with index of refraction n. The reflected and refracted rays are perpendicular to each other. Find the angle of incidence. This angle is called Brewsters angle or the polarizing angle. In this situation, the reflected light is linearly polarized, with its electric field restricted to be perpendicular to the plane containing the rays and the normal.
A light ray travels from vacuum into a slab of material with index of refraction n1 at incident angle θ with respect to the surface. It subsequently passes into a second slab of material with index of refraction n2 before passing back into vacuum again. The surfaces of the different materials are all parallel to one another. As the light exits the second slab, what can be said of the final angle ϕ that the outgoing light makes with the normal? (a) ϕ > θ (b) ϕ < θ (c) ϕ = θ (d) The angle depends on the magnitudes of n1 and n2. (e) The angle depends on the wavelength of the light.
In what substance in Table 1.1 is the speed of light 2.290108 m/s?
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 passes from a material with index of refraction 1.3 into one with index of refraction 1.2. Compared with the incident ray, what happens to the refracted ray? (a) It bends toward the normal. (b) It is undeflected. (c) It bends away from the normal.
For specular reflection, what is the situation with an angle of incidence of (a) 0 and (b) 90?
A ray of light crosses the boundary between some substance with n = 1.46 and air, going from the substance into air. If the angle of incidence is 26◦ what is the angle of refraction?
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