Concept explainers
Around 1965, engineers at the Toro Company invented a gasoline gauge for small engines diagrammed in Figure P25.32. The gauge has no moving parts. It consists of a flat slab of transparent plastic fitting vertically into a slot in the cap on the gas tank. None of the plastic has a reflective coating. The plastic projects from the horizontal top down nearly to the bottom of the opaque tank. Its lower edge is cut with facets making angles of 458 with the horizontal. A lawn mower operator looks down from above and sees a boundary between bright and dark on the gauge. The location of the boundary, across the width of the plastic, indicates the quantity of gasoline in the tank. (a) Explain how the gauge works. (b) Explain the design requirements, if any, for the index of refraction of the plastic.
Figure P25.32
Trending nowThis is a popular solution!
Chapter 25 Solutions
Principles of Physics: A Calculus-Based Text
- To dress up your dorm room, you have purchased a perfectly spherical glass fishbowl to place on the windowsill. After placing the sand, decorations, and water in the bowl of diameter 40.0 cm, you transfer a single tropical fish from a plastic bag into the bowl. As you watch the fish, your roommate comes home. He watches the fish also and notices that the apparent size of the fish changes as it swims around in the bowl. Ignore the effect of the thin glass walls of the bowl; take only the water into consideration. (Assume the index of refraction of water is 1.33 and the index of refraction of air is 1.00.) (a) He is not taking a physics course, so he asks you to tell him the range of magnifications of the fish as it swims along a line from the back of the bowl along a line passing through the center of the bowl directly toward the observer. M. min M max = =arrow_forwardAn cylindrical opaque drinking glass has a diameter 4 cm and height h, as shown in the figure. An observer's eye is placed as shown (the observer is just barely looking over the rim of the glass). When empty, the observer can just barely see the edge of the bottom of the glass. When filled to the brim with a transparent liquid, the observer can just barely see the center of the bottom of the glass. The liquid in the drinking glass has an index of refraction of 1.15. KRI Oi Calculate the angle 0,. Answer in units of degrees. eyearrow_forwardTo dress up your dorm room, you have purchased a perfectly spherical glass fishbowl to place on the windowsill. After placing the sand, decorations, and water in the bowl of diameter 40.0 cm, you transfer a single tropical fish from a plastic bag into the bowl. As you watch the fish, your roommate comes home. He watches the fish also and notices that the apparent size of the fish changes as it swims around in the bowl. (a) He is not taking a physics course, so he asks you to tell him the range of magnifications of the fish as it swims along a line from the back of the bowl along a line passing through the center of the bowl directly toward the observer. (b) Your roommate also asks you if the fish might be baked if it swims through a point at which the rays of the Sun focus at some point as they pass through the curved sides of the bowl. Should you worry aboutyour fish being baked? Ignore the effect of the thin glass walls of the bowl; take only the water into consideration.arrow_forward
- An opaque cylindrical tank with an open top has a diameter of 3.25 m and is completely filled with water. When the afternoon Sun reaches an angle of 33.6° above the horizon, sunlight ceases to illuminate the bottom of the tank. How deep is the tank?marrow_forwardEx. 29 : A barrometer tube has a diameter of 4 mm. Calculate the error in the reading if the S.T. of mercury is 0.64 N/m and its angle of contact with glass is 140°. Density of mercury = 1.36 x 104 kg/m %3Darrow_forwardYou sight along the rim of a glass with vertical sides so that the top rim is lined up with the opposite edge of the bottom (see the figure (Figure 1)(a)). The glass is a thin-walled hollow cylinder 16.0 cm high with a top and bottom of the glass diameter of 8.0 cm. While you keep your eye in the same position, a friend fills the glass with a transparent liquid, and you then see a dime that is lying at the center of the bottom of the glass (see the figure(b)).arrow_forward
- You are working at your university swimming center. The athletic department decides that it would like to install a flag pole of height 10.0 m at the south end of one of the outdoor pools, which lies along a north-south axis. The pool is 3.09 m deep and the flag pole is to be installed 4.35 m from the south edge of the pool, midway along the length of the south edge. (a) Your supervisor knows of your expertise in physics and asks you to determine the distance (in m) of the shadow of the tip of the flag pole on the bottom of the pool from the south wall of the pool on a summer day when the Sun appears directly south and at an angle of 65.0° above the horizon. marrow_forwardEthanol is poured into a glass beaker. What is the critical angle for the boundary between ethanol and flint glass? 55° 25° 60° 15° 47° 90°arrow_forwardSuppose the two glass plates in Fig are two microscope slides 10.0 cm long. At one end they are in contact; at the other end they are separated by a piece of paper 0.0200 mm thick is a plastic with n = 1.40, the wedge is filled with a silicone grease with n = 1.50, and the bottom plate is a dense flint glass with n = 1.60. What happens now?arrow_forward
- The height h of a rectangular mirror is 4 times the width of the mirror . Write an expression for the width of the mirror in terms of height . Then write an expression to represent the perimeter of the mirror in terms of height .arrow_forwardTwo plane mirrors are facing each other. They are parallel, 3.00 cm apart, and 17.0 cm in length, as the drawing indicates. A laser beam is directed at the top mirror from the left edge of the bottom mirror. What is the smallest angle of incidence with respect to the top mirror, such that the laser beam (a) hits only one of the mirrors and (b) hits each mirror only once? (a) Number i (b) Number i Laser Units Units 17.0 cm 3.00 cmarrow_forwardIndex of refraction is defined as the speed of light in a vacuum divided by the speed of light in the medium. What is the index of refraction for a glass sample? Speed of light in a vacuum c = 3.0 x 108 m/s. Speed of light in the glass = 1.50 x 108 m/s.arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON