College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 25, Problem 4PE
To determine
The angle between the directions of the two rays and if it remains the same or not.
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A flat mirror is neither converging nor diverging. To prove this, consider two rays originating from the same point and diverging at an angle θθ (see below). Show that after striking a plane mirror, the angle between their directions remains θ.θ.
A ray of light travels through air until it strikes the interface between the air and another medium. The incident ray makes an angle of
?1 = 41.0°
with the normal, as shown in the figure below. Upon passage into the second medium, the ray is refracted, emerging from the interface at an angle
?2
with respect to the normal.
A light ray in air is moving down and to the right and is incident on a second medium. It makes an angle ?1 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 ?2 with the vertical.
(a)
Suppose that the second medium is flint glass. What is the angle of refraction,
?2
(in degrees)? (Enter your answer to at least one decimal place.)
Answer in degrees°
(b)
Suppose that the second medium is crown glass. What is the angle of refraction,
?2,
in this case (in degrees)? (Enter your answer to at least one decimal place.)
Answer in degrees °
(c)
Finally, suppose that…
A ray of light travels through air until it strikes the interface between the air and another medium. The incident ray makes an angle of
θ1 = 32.0°
with the normal, as shown in the figure below. Upon passage into the second medium, the ray is refracted, emerging from the interface at an angle
θ2
with respect to the normal.
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)
Suppose that the second medium is water. What is the angle of refraction,
θ2
(in degrees)? (Enter your answer to at least one decimal place.)
(b)
Suppose that the second medium is flint glass. What is the angle of refraction,
θ2,
in this case (in degrees)? (Enter your answer to at least one decimal place.)
(c)
Finally, suppose that the second medium is glycerine. What is the…
Chapter 25 Solutions
College Physics
Ch. 25 - Using the law of reflection, explain how powder...Ch. 25 - Diffusion by reflection from a rough surface is...Ch. 25 - Why is the index of refraction always greater than...Ch. 25 - Does the fact that the light flash from lightning...Ch. 25 - Will light change direction toward or away from...Ch. 25 - Explain why an object in water always appears to...Ch. 25 - Explain why a person’s legs appeal very short when...Ch. 25 - Prob. 8CQCh. 25 - Suppose light were incident from air onto a...Ch. 25 - A ring with a colorless gemstone is dropped into...
Ch. 25 - A high-quality diamond may be quite clear and...Ch. 25 - Prob. 12CQCh. 25 - The most common type at mirage is an illusion that...Ch. 25 - It can he argued that a flat piece of glass, such...Ch. 25 - You can often see a reflection when looking at a...Ch. 25 - When you focus a camera, you adjust the distance...Ch. 25 - A thin lens has two focal points, one on either...Ch. 25 - Will the focal length of a lens change when it is...Ch. 25 - What are the differences between teal and virtual...Ch. 25 - Can you see a virtual image? Can you photograph...Ch. 25 - Is it necessary to project a real image onto a...Ch. 25 - At what distance is an image always locatedat do,...Ch. 25 - Under what circumstances will an image be located...Ch. 25 - What is meant by a negative magnification? What is...Ch. 25 - Can a case 1 image be larger than the object even...Ch. 25 - Prob. 26CQCh. 25 - Devise an arrangement of mirrors allowing you to...Ch. 25 - If you wish to see your entire body in a flat...Ch. 25 - It can be argued than a flat mirror has an in?nite...Ch. 25 - Why are diverging mirrors often used for rear-view...Ch. 25 - Prob. 1PECh. 25 - Prob. 2PECh. 25 - Light shows staged with lasers use moving mirrors...Ch. 25 - Prob. 4PECh. 25 - What is the speed of light in water? In glycerine?Ch. 25 - What is the speed of light in air? In crown glass?Ch. 25 - Calculate the index of refraction for a medium in...Ch. 25 - In what substance in Table 25.1 is the speed of...Ch. 25 - There was a major collision of an asteroid with...Ch. 25 - Prob. 10PECh. 25 - Components of some computers communicate with each...Ch. 25 - Prob. 12PECh. 25 - Suppose you have an unknown clear substance...Ch. 25 - On the Moon’s surface, lunar astronauts placed a...Ch. 25 - Prob. 15PECh. 25 - Prob. 16PECh. 25 - Unreasonable Results Suppose light travels from...Ch. 25 - Construct Your Own Problem Consider sunlight...Ch. 25 - Unreasonable Results Light traveling from water to...Ch. 25 - Verify that the critical angle for light going...Ch. 25 - (a) At the end of Example 25.4, it was stated that...Ch. 25 - An optical fiber uses flint glass clad with crown...Ch. 25 - At what minimum angle will you get total internal...Ch. 25 - Suppose you are using total internal reflection to...Ch. 25 - You can determine me index of refraction of a...Ch. 25 - Prob. 26PECh. 25 - Prob. 27PECh. 25 - (a) What is me ratio of the speed of red light to...Ch. 25 - A beam of white light goes from air into water at...Ch. 25 - By how much do the critical angles for red (660...Ch. 25 - (a) A narrow beam of light containing yellow (580...Ch. 25 - A parallel beam of light containing orange (610...Ch. 25 - A ray of 610 nm light goes from air into fused...Ch. 25 - A narrow beam of light containing red (660 nm) and...Ch. 25 - Prob. 35PECh. 25 - What is the power in diopters at a camera lens...Ch. 25 - Your camera's zoom lens has an adjustable focal...Ch. 25 - What is the focal length of 1.75 D reading glasses...Ch. 25 - You note that your prescription for new eyeglasses...Ch. 25 - How far from the lens must the film in a camera...Ch. 25 - A certain slide projector has a 100 mm focal...Ch. 25 - A doctor examines a mole with a 15.0 cm focal...Ch. 25 - How far from a piece of paper must you hold your...Ch. 25 - A camera with a 50.0 mm focal length lens is being...Ch. 25 - A camera lens used for taking close-up photographs...Ch. 25 - Suppose your 50.00 mm local length camera lens is...Ch. 25 - (a) What is the focal length of a magnifying glass...Ch. 25 - What magnification will be produced by a lens of...Ch. 25 - In Example 25.7, the magnification of a book held...Ch. 25 - Suppose a 200 mm focal length telephoto lens is...Ch. 25 - A camera with a 100 mm focal length lens is used...Ch. 25 - Combine thin lens equations to show that the...Ch. 25 - What is the focal length of a makeup mirror that...Ch. 25 - Some telephoto cameras use a mirror rather than a...Ch. 25 - (a) Calculate the focal length of the mirror...Ch. 25 - Find the magnification of the heater element in...Ch. 25 - What is the focal length of a makeup mirror that...Ch. 25 - A shopper standing 3.00 m from a convex security...Ch. 25 - An object 1.50 cm high is held 3.00 cm from a...Ch. 25 - Ray tracing for a flat mirror shows that the image...Ch. 25 - Show that for a flat mirror hi= ho, knowing that...Ch. 25 - Use the law of reflection to prove that the focal...Ch. 25 - Referring to the electric room heater considered...Ch. 25 - Consider a 250-W heat lamp fixed to the ceiling in...Ch. 25 - Prob. 1TPCh. 25 - Prob. 2TPCh. 25 - Prob. 3TPCh. 25 - Prob. 4TPCh. 25 - Prob. 5TPCh. 25 - Prob. 6TPCh. 25 - Prob. 7TPCh. 25 - Prob. 8TPCh. 25 - Prob. 9TPCh. 25 - Prob. 10TPCh. 25 - Prob. 11TPCh. 25 - Prob. 12TPCh. 25 - Prob. 13TPCh. 25 - Prob. 14TPCh. 25 - Prob. 15TPCh. 25 - Prob. 16TPCh. 25 - Prob. 17TPCh. 25 - Prob. 18TPCh. 25 - Prob. 19TPCh. 25 - Prob. 20TP
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- A lamp of height S cm is placed 40 cm in front of a converging lens of focal length 20 cm. There is a plane mirror 15 cm behind the lens. Where would you find the image when you look in the mirror?arrow_forwardFigure P23.28 shows a curved surface separating a material with index of refraction n1 from a material with index n2. The surface forms an image I of object O. The ray shown in red passes through the surface along a radial line. Its angles of incidence and refraction are both zero, so its direction does not change at the surface. For the ray shown in blue, the direction changes according to n1 sin 1 = n2 sin 2. For paraxial rays, we assume 1 and 2 are small, so we may write n1 tan 1 n2 tan 2. The magnification is defined as M = h/h. Prove that the magnification is given by M = n1q/n2p. Figure P23.28arrow_forwardThe left face of a biconvex lens has a radius of curvature of magnitude 12.0 cm, and the right face has a radius of curvature of magnitude 18.0 cm. The index of refraction of the glass is 1.44. (a) Calculate the focal length of the lens for light incident from the left. (b) What If? After the lens is turned around to interchange the radii of curvature of the two faces, calculate the focal length of the lens for light incident from the left.arrow_forward
- For specular reflection, what is the situation with an angle of incidence of (a) 0 and (b) 90?arrow_forwardConsider a beam of light from the left entering a prism of apex angle as shown in Figure P34.34. Two angles of incidence, 1, and 3, are shown as Hell as two angles of refraction, 2 and 4. Show that = 1 + 3. Figure P34.34arrow_forwardLight is incident on a prism as shown in Figure P38.31. The prism, an equilateral triangle, is made of plastic with an index of refraction of 1.46 for red light and 1.49 for blue light. Assume the apex angle of the prism is 60.00. a. Sketch the approximate paths of the rays for red and blue light as they travel through and then exit the prism. b. Determine the measure of dispersion, the angle between the red and blue rays that exit the prism. Figure P38.31arrow_forward
- How many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33arrow_forwardThe end of a solid glass rod of refractive index 1.50 is polished to have the shape of a hemispherical surface of radius 1.0 cm. A small object is placed in air (refractive index 1.00) on the axis 5.0 cm to the left of the vertex. Determine the position of the image.arrow_forwardA converging lens made of crown glass has a focal length of 15.0 cm when used in air. If the lens is immersed in water, what is its focal length? (a) negative (b) less than 15.0 cm (c) equal to 15.0 cm (d) greater than 15.0 cm (e) none of those answersarrow_forward
- Figure P36.95 shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 9.00 cm and 11.0 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.00 cm. Assume the focal points F1 and F2 of the lens are 5.00 cm from the center of the lens, (a) Determine the index of refraction of the lens material. The lens and mirror are 20.0 cm apart, and an object is placed 8.00 cm to the left of the lens. Determine (b) the position of the filial image and (c) its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? Explain.arrow_forwardAn observer to the right of the mirror-lens combination shown in Figure P36.89 (not to scale) sees two real images that are the same size and in the same location. One image is upright, and the other is inverted. Both images are 1.50 times larger than the object. The lens has a focal length of 10.0 cm. The lens and mirror are separated by 40.0 cm. Determine the focal length of the mirror.arrow_forwardTwo converging lenses having focal lengths of f1 = 10.0 cm and f2 = 20.0 cm are placed a distance d = 50.0 cm apart as shown in Figure P35.48. The image due to light passing through both lenses is to be located between the lenses at the position x = 31.0 cm indicated. (a) At what value of p should the object be positioned to the left of the first lens? (b) What is the magnification of the final image? (c) Is the final image upright or inverted? (d) Is the final image real or virtual?arrow_forward
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