A flat minor is neither converging nor diverging. To prove this, consider two rays originating from the same point and diverging at an angle θ. Show that after striking a plane mirror, the angle between their directions remains θ.
Figure 25.52 A flat mirror neither converges nor diverges light rays. Two rays continue to diverge at the same angle after reflection.
Trending nowThis is a popular solution!
Chapter 25 Solutions
College Physics
Additional Science Textbook Solutions
Essential University Physics: Volume 2 (3rd Edition)
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
University Physics Volume 1
College Physics: A Strategic Approach (3rd Edition)
College Physics: A Strategic Approach (4th Edition)
Sears And Zemansky's University Physics With Modern Physics
- For specular reflection, what is the situation with an angle of incidence of (a) 0 and (b) 90?arrow_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_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
- Figure 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_forwardAu object of height 3.0 cm is placed at 25 cm in front of a diverging lens of focal length 20 cm. Behind the diverging lens, there is a converging lens of focal length 20 cm. The distance between the lenses is 5.0 cm. Fluid the location and size of the final image.arrow_forwardHow many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33arrow_forward
- 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…arrow_forwardA 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 = 34.0° 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.) ° (b) Suppose that the second medium is fused quartz. What is the angle of refraction, ?2, in this case (in degrees)? (Enter your answer to at least one decimal place.) ° (c) Finally, suppose that the second medium is ethyl…arrow_forwardA 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 = 34.0° 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.) Check that your calculator is set for angles in degrees. Double-check the index of refraction you have obtained for the second medium from your textbook or another reliable source. Be sure that you are using the sin and sin−1 functions…arrow_forward
- A block of crown glass is immersed in water as in the figure below. A light ray is incident on the top face at an angle of 01 = 42° with the normal and exits the block at point P. 3.50 cm 01 02 (a) Find the vertical distance y from the top of the block to P, (b) Find the angle of refraction 62 of the light ray leaving the block at P.arrow_forwardA flat mirror is neither converging nor diverging. To prove this, consider two rays originating from the same point and diverging at an angle θ . Show that after striking a plane mirror, the angle between their directions remains θ .arrow_forwardThe place you get your hair cut has two nearly parallel mirrors 5 meters apart. As you sit in the chair, your head is 2 meters from the nearest mirror. Looking towards this mirror, you first see your face and then, farther away, the back of your head. (The mirrors need to be slightly non-parallel to see the back of you head, but treat them as parallel.) How far away does the back of your head appear to be from your eyes. Neglect the thickness of your head.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning