A person looking into an empty container is able to see the far edge of the container's bottom, as shown in Figure P22.23a. The height of the container is h, and its width is d. When the container is com- pletely filled with a fluid of index of refraction n and viewed from the same angle, the person can see the center of a coin at the middle of the container's bottom, as shown in Figure P22.23b. (a) Show that the ratio h/d is given by 4 - n² (b) Assuming the container has a width of 8.00 cm and is filled with water, use the expression above to find the height of the container. b. Figure P22.23

A person looking into an empty container is able to see the far edge of the container's bottom, as shown in Figure P22.23a. The height of the container is h, and its width is d. When the container is com- pletely filled with a fluid of index of refraction n and viewed from the same angle, the person can see the center of a coin at the middle of the container's bottom, as shown in Figure P22.23b. (a) Show that the ratio h/d is given by 4 - n² (b) Assuming the container has a width of 8.00 cm and is filled with water, use the expression above to find the height of the container. b. Figure P22.23

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The kitten, Simba (Fig. A) and the kitten, Bella (Fig. B) are inspecting a goldfish swimming inside a round aquarium filled with water (nwater = 1.33). The magnitude of the radius of the round surface of the aquarium is 16 cm. The kittens are in air (nair=1.00). In order to calculate the apparent depth of the fish as viewed by the kittens, you need to use the equation shown in Fig. C. Identify the following (Please note that I am not asking you to do the calculation) n₁ P Fig. A + n₂ 9 = (n₂-n₁) R Fig. C Fig. A: n₁ = Fig. B: n₁ = ; n₂ = _; n₂ = Fig. B ; R = ; R =
You are studying a rare species of small mushroom by growing them in a large tank filled with a 60percent glucose solution, which has an index of refraction of ns =1.44. In order to magnify the small mushroomsample, you have built a long glass rod with curved ends which you insert into the top of the tank. The glassrod has an index of refraction of ng =1.55. The lower curved end of the glass rod is 12cm above the mushroomsample, and its magnitude of curvature is |r1| = 6cm. The length of the glass rod is d = 25 cm, and the uppercurved end has a magnitude of the radius of curvature of |r2| = 10cm. The signs of both radii of curvature are leftto the student to determine from the figure below. The index of refraction of air is, as always, 1. Carry a largenumber of significant figures through the problem and simplify at the end.(a)Compute the final location of the image formed of the mushroom by the device.(b)Compute the total magnification of the glass rod.
Can you help me with the wrong. Please? Thank you.
A parallel beam of light enters a glass hemisphere perpendicularto the flat face, as shown in Figure P23.53. The radius ofthe hemisphere is R = 6.00 cm, and the index of refraction isn = 1.56. Determine the point at which the beam is focused.(Assume paraxial rays; i.e., assume all rays are located closeto the principal axis.)
Kyle lays a mirror flat on the floor and aims a laser at the mirror. The laser beam reflects off the mirror and strikes an adjacent wall. The plane of the incident and reflected beams is perpendicular to the wall. The beam from the laser strikes the mirror at a distance a = 11.7 cm from the wall. The reflected beam strikes the wall at a height b = 34.7 cm above the surface of the mirror. Find the angle of incidence 0, at which the laser beam strikes the mirror. 0, =
Two plane mirrors are at right angles to each other as shown by the side view in Figure P22.10. A light ray is incident on mirror 1 at an angle with the vertical. Using the law of reflection and geometry, show that after the ray is reflected off of both mirrors, the outgo- ing reflected ray is parallel to the incident ray. Mirror 2 nobshe oral ban bai 10 Incident ray Mirror 1 Figure P22.10
Problem 18 18. The reflecting surfaces of two intersecting flat mirrors are at an angle 0 (0° < 0 < 90°) as shown in Figure P35.18. For a light ray that strikes the horizontal mir- ror, show that the emerging ray will intersect the inci- dent ray at an angle B = 180° – 20. Nov or B 90°-Y 90°-a d Mirror 1 I b Mirror 2
A man standing 1.54 m in front of a shaving mirror produces an inverted image 18.6 cm in front of it. How close to the mirror should he stand if he wants to form an upright image of his chin that is twice the chin's actual size? cm A contact lens is made of plastic with an index of refraction of 1.40. The lens has an outer radius of curvature of +1.92 cm and an inner radius of curvature of +2.47 cm. What is the focal length of the lens? cm
A light ray enters a rectangular block of plastic at an angle Ɵ1 = 45.0˚ and emerges at an angle Ɵ2 = 76.0˚ , as shown in figure P22.57 (a)Determine the index of refraction of the plastic. (b) If the light ray enters the plastic at a point L=50.0cm from the bottom edge, how long does it take the light ray to travel through the plastic?