University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 1, Problem 50P
Suppose you are using total internal reflection to make an efficient corner reflector. If there is air outside and the incident angle is
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Suppose you are using total internal reflection to make an efficient corner reflector. If there is air outside and the incident angle ?1 is 47.1 °, what must be the minimum index of refraction of the material from which the reflector is made?
Suppose you are using total internal reflection to make an efficient corner reflector. If there is air outside and the incident angle is 45.0̊ C, what must be the minimum index of refraction of the material from which the reflector is made
If the critical angle for internal reflection inside a certain transparent material is found to be 48.0 degrees, what is the index of refraction of the material? (Air is outside the material).
Chapter 1 Solutions
University Physics Volume 3
Ch. 1 - Check Your Understanding Table 1.1 shows that...Ch. 1 - Check Your Understanding In Table 1.1, the solid...Ch. 1 - Check Your Understanding At the surface between...Ch. 1 - Check Your Understanding In the preceding example....Ch. 1 - Check Your Understanding in Example 1.6, we had...Ch. 1 - Check Your Understanding Although we did no...Ch. 1 - Check Your Understanding What happens at...Ch. 1 - Under what conditions can light be modeled like a...Ch. 1 - Why is the index of refraction always greater than...Ch. 1 - Does the fact that the light flash from lightning...
Ch. 1 - Speculate as to s1at physical process might be...Ch. 1 - Using the law of reflection, explain how powder...Ch. 1 - Diffusion by reflection from a rough surface is...Ch. 1 - Will 1igt change direction toward or away from the...Ch. 1 - Exp1ain why an object in water always appears to...Ch. 1 - Explain why a person’s legs appear very short when...Ch. 1 - Explain why an oar that is partially submerged in...Ch. 1 - A ring with a colorless gemstone is dropped into...Ch. 1 - The most common type of mirage is an illusion that...Ch. 1 - How can you use total internal reflection to...Ch. 1 - Is it possible that total internal reflection...Ch. 1 - A high-quality diamond may be quite clear and...Ch. 1 - How do wave effects depend on the size of the...Ch. 1 - Does Huygens’s principle apply to all types of...Ch. 1 - If diffraction is observed for some phenomenon, it...Ch. 1 - Can a sound wave in air be polarized? Explain.Ch. 1 - No light passes through two perfect polarizing...Ch. 1 - Explain what happens to the energy carried by...Ch. 1 - When particles scattering light are much smaller...Ch. 1 - Using the information given in the preceding...Ch. 1 - When light is reflected at Brewster’s angle from a...Ch. 1 - If you lie on a beach looking at the water with...Ch. 1 - What is the speed of light in water? In glycerine?Ch. 1 - What is the speed of light in air? In crown glass?Ch. 1 - Calculate the index of refraction for a medium in...Ch. 1 - In what substance in Table 1.1 is the speed of...Ch. 1 - There was a major collision of an asteroid with...Ch. 1 - Components of some computers communicate with each...Ch. 1 - Compare the time it takes for light to travel 1000...Ch. 1 - How far does light travel underwater during a time...Ch. 1 - Suppose a man stands in front of a mm-or as show...Ch. 1 - Show that when light reflects from two mirrors...Ch. 1 - On the Moon’s surface, lunar astronauts placed a...Ch. 1 - A flat mirror Is neither converging nor diverging....Ch. 1 - A light beam in air has an angle of incidence of...Ch. 1 - A light beam in air is incident on the surface of...Ch. 1 - When a light ray crosses from water into glass, it...Ch. 1 - A pencil flashlight submerged in water sends a...Ch. 1 - Light rays from the Sun make a 30° angle to the...Ch. 1 - The path of a light beam in air goes from an angle...Ch. 1 - A scuba diver training in a pool looks at his...Ch. 1 - (a) Using information in the preceding problem,...Ch. 1 - Verify that the critical angle for light going...Ch. 1 - (a) At the end of Example 1.4, it was stated that...Ch. 1 - An optical fiber uses flint glass clad with crown...Ch. 1 - At that minimum angle will you get total internal...Ch. 1 - Suppose you are using total internal reflection to...Ch. 1 - You can determine the index of refraction of a...Ch. 1 - A ray of light, emitted beneath the surface of an...Ch. 1 - Light rays fall normally on the vertical surface...Ch. 1 - (a) What is the ratio of the speed of red light to...Ch. 1 - A beam of white light goes from air into water at...Ch. 1 - By how much do the critical angles for red (660...Ch. 1 - (a) A narrow beam of light containing yellow (580...Ch. 1 - A parallel beam of light containing orange (610...Ch. 1 - A ray of 610-nm light goes from air into fused...Ch. 1 - A narrow beam of light containing red (660 nm) and...Ch. 1 - A narrow beam of white light enters a prism made...Ch. 1 - What angle is needed between the direction of...Ch. 1 - The angle been the axes of two polarizing filters...Ch. 1 - Two polarizing sheets P1 and P2 are placed...Ch. 1 - Suppose that in the preceding problem the light...Ch. 1 - If you have completely polarized light of...Ch. 1 - What angle would the axis of a polarizing filter...Ch. 1 - At the end of Example 17, it was stated that the...Ch. 1 - Show that if you have three polarizing filters,...Ch. 1 - Three polarizing sheets are placed together such...Ch. 1 - In order to rotate the polarization axis of a beam...Ch. 1 - It is found that when light traveling in water...Ch. 1 - At what angle ill lig1t reflected from diamond be...Ch. 1 - What is Brewster’s angle for light traveling in...Ch. 1 - A scuba diver sees light reflected from the...Ch. 1 - From his measurements, Roemer estimated that it...Ch. 1 - Cornu performed Fizeau’s measurement of the speed...Ch. 1 - Suppose you have an unknown clear substance...Ch. 1 - Shown below is a ray of light going from air...Ch. 1 - Considering the previous problem, show that 3is...Ch. 1 - At what angle is light inside crown glass...Ch. 1 - Light reflected at 55.6° from a window is...Ch. 1 - (a) Light reflected at 62.5° from a gemstone in a...Ch. 1 - If bis Brewster’s angle for light reflected from...Ch. 1 - Unreasonable results Suppose light travels from...Ch. 1 - Unreasonable results Light traveling from water to...Ch. 1 - If a polarizing filter reduces the intensity of...Ch. 1 - Suppose you put on two pairs of polarizing...Ch. 1 - (a) On a day when the intensity of sunlight is...Ch. 1 - Light shows staged with lasers use moving mirrors...Ch. 1 - Consider sunlight entering Earth’s atmosphere at...Ch. 1 - A light ray entering an optical fiber surrounded...Ch. 1 - A light ray falls on the left face of a prism (see...Ch. 1 - If the apex angle in the previous problem is 20.0°...Ch. 1 - The light incident on polarizing sheet P1is...Ch. 1 - Prove that if I is the intensity of light...
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- If the critical angle for total internal reflection inside a certain transparent material is found to be 48.00, calculate the index of refraction of the materialarrow_forwardThe critical angle for a total internal reflection at air and glass interface is 39.0°. What is the speed of light in this glass? (c = 3.00×108 m/s)arrow_forwardConsider 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 1.40 and the index of refraction for the oil to be 1.34. 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?arrow_forward
- A beam of light is emitted 10.0 cm beneath the surface of a liquid and strikes the surface 6.0 cm from the point directly above the source. If total internal reflection occurs, and this beam is traveling at the critical angle for total internal reflection, what is the index of refraction of the liquid? Assume that air is above the liquid.arrow_forwardWhen light goes from an unknown plastic into water (n = 1.33), it exhibits total internal reflection at a critical angle of 57.7o. What is the index of refraction of the plastic?arrow_forwardLight enters at right angle through one of the catheti of a right-angle isosceles prism which is made of glass with an index of refraction of 1.620. Because the angle of the ray with the normal when entering into the glass is zero, the ray passes straight through and strikes the interior of the hypotenuse of the prism. What is the largest value for the index of refraction of the surrounding medium which would still cause total internal reflection inside the prism?arrow_forward
- What is the angle of incidence on an air-to-glass boundary if the angle of refraction in the glass (n = 1.52) is 25 degrees?arrow_forwardA light ray is incident at an angle x on the top surface of a block of plastic with n = 1.49. Find the maximum value of x for which the refracted ray undergoes total internal reflection at point P at the left vertical interface of the block. Assume the block is immersed in water (nWATER = 1.33 ).arrow_forwardA ray of white light traveling through air enters a block of glass that has an index of refraction of 1.44 for the red end of the spectrum and 1.46 for the violet end. If the ray has an angle of incidence of 60.0 degrees with respect to the normal of the interface boundary, what's the angular separation between the red and violet ends of the spectrum within the glass?arrow_forward
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