University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 1, Problem 84AP
If
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If θb is Brewster’s angle for light reflected from the top of an interface between two substances, and θ’b is Brewster’s angle for light reflected from below, prove that θb + θ‘b = 90.0o.
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A light ray with a wavelength of 589 nanometers (produced by a sodium lamp) traveling through air makes an angle of
= to find the angle of refraction,
V2
sin 0₁ V₁
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incidence of 55° on a smooth, flat slab of dense flint glass. Use Snell's Law,
sin 02
where the index of refraction is 1.66.
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The angle of refraction is approximately degrees.
(Type an integer or decimal rounded to two decimal places as needed.)
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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- A ray of light crosses the boundary between some substance with n = 1.61 and air, going from the substance into air. If the angle of incidence is 18◦ what is the angle of refraction? Calculate to 1decimal.arrow_forwardLight, when incident on a given surface, presents a reflected and a refracted component. When the reflected beam is perpendicular to the refracted beam, the angle of incidence θᵢ is called Brewster's angle. If a beam of light is initially in air with index of refraction n₁ = 1 and is incident on a glass surface (index of refraction n₂ = 1.5), Brewster's angle is: a)82.9° b)36.3° c)75.4° d)62.9° e)56.3° f)45.7°arrow_forwardA ray of light is incident on a glass prism (n 1.5) with an angle of incidence 6, = 40/The ray emerges from the opposite side of the prism with an angle 0,. The apex angle of the prism is 60. The deviation angle, 6, between the incident ray and the emerging ray is then: 60 e, = 40 nair1 13.8 44.5 21.7° 38.4° 51.3°arrow_forward
- (a) The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 54.0°? (b) What If? What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 90°?arrow_forwardThe index of refraction for a certain type of glass is 1.645 for blue light and 1.605 for red light. A beam of white light (one that contains all colors) enters a plate of glass from the air, nair≈ 1, at an incidence angle of 36.55°. What is the absolute value of 8, the angle in the glass between blue and red parts of the refracted beams? |8| =arrow_forwardA ray of light is incident normally on one of the faces of a prism of index of refraction n = 1.57. The ray emerges out of the prism with an angle of refraction e equal to: 50° nair 1 n a a 20.2° 26.8° 24.0° 22.7° 21.4°arrow_forward
- Brewster's angle from the air to the glass (n=1.5) is how far away? A temperature of 78.4 degrees Fahrenheit b. 48,7oF A temperature of c. 56.3 degrees At a temperature of 38.4 degrees,arrow_forwardA ray of light is incident on a glass prism (n = 1.5) with an angle of incidence 0, = 40°. The ray emerges from the opposite side of the prism with an angle 04. The apex angle of the prism is 60°. The deviation angle, 8, between the incident ray and the emerging ray is then: 60° 0, = 40° Nair =1 38.4° O 51.3° O 21.7° 44.5° 13.8°arrow_forwardA ray of light is incident on an air/water interface. The ray makes an angle of theta= 33 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Numerically, what is the angle in degree?arrow_forward
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