A long glass rod 6.00 cm in diameter has a convex hemispherical surface 3.00 cm in radius is immersed in a liquid. An object 90.0 cm from the vertex of the left end of the rod and on its axis is imaged at a point 1.60 m inside the rod. What is the refractive index of the liquid?

A long glass rod 6.00 cm in diameter has a convex hemispherical surface 3.00 cm in radius is immersed in a liquid. An object 90.0 cm from the vertex of the left end of the rod and on its axis is imaged at a point 1.60 m inside the rod. What is the refractive index of the liquid?

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

A paperweight is made of a solid glass hemisphere of index of refraction 1.60. The radius of the circular cross section is 5.0 cm. The hemisphere is placed on its flat surface, with the center directly over a 2.0 mm long line drawn on a sheet of paper. What length of line is seen by someone looking vertically down on the hemisphere? answer in mm
A light ray traveling in air is incident on one face of a right-angle prism with index of refraction n = 1.49, as shown in Figure P22.54, and the ray follows the path shown in the figure. Assuming that θ = 58.0° and the base of the prism is mirrored, determine the angle made by the outgoing ray with the normal to the right face of the prism.?degrees
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.
An insect is embedded in a spherical fluorite crystal with a radius of 7.50 cm and a refractive index of 1.43. If the insect appears to be 1.50 cm into the crystal when viewed in air, what is its actual distance from the interface? А. 1.11 сm С. 1.98 сm В. 1.50 сm D. 2.35 cm
A 96.0 cm long cylindrical stick is made of glass with refractive index 1.60. The ends of the stick have been polished to form convex spherical surfaces of radii 8.00 cm and 16.0 cm, respectively. An object is in the air about the symmetry axis of the stick 20.0 cm from the end that has a radius of 8.00 cm. (a) Determine the position of the final image due to refraction at both spherical surfaces. (b) Is the final image real or virtual? Assume that the rays are paraxial. Hint: The image of the first interface serves as the object for the second interface. (a) Inside the stick 84 cm from the object; (b) Virtual (a) Inside the stick 84 cm from the object; (b) Real (a) Inside the stick 64 cm from the object; (b) Virtual (a) Inside the stick 64 cm from the object; (b) Real (a) Inside the stick 44 cm from the object; (b) Virtual (a) Inside the stick 44 cm from the object; (b) Real (a) Inside the wand 36 cm from the object; (b) Virtual (a) Inside the stick 36 cm from the object; (b) Real…
A layer of benzene (n = 1.50) that is 4.20 cm deep floats on water (n = 1.33) that is 5.70 cm deep. What is the apparent distance from the upper benzene surface to the bottom of the water when you view these layers at normal incidence?
A fish is 60 cm beneath the surface of a pon. An insect is flying directly overhead. If the insect is exactly 20cm above the surface of water, how far above the surface does the insect appear to the fish ? ( given: refractive index of water = 1.33 )
A transparent cylinder of radius R = 2.00 m has a mirroredsurface on its right half, as shown in Figure P22.55. A light ray traveling in air is incident on the left side of the cylinder. Theincident light ray and the exiting light ray are parallel, andd = 2.00 m. Determine the index of refraction of the material.
A small pin fixed on a table top is viewed from above from a distance of 50cm. By what distance would the pin appear to be raised if it is viewed from the same point through a 15cm thick glass slab held parallel to the table? Refractive index of glass = 1.5. Does the answer depend on the location of the slab?
You can determine the index of refraction of a substance by determining its critical angle. (a) What is the index of refraction of a substance that has a critical angle of 51.0° when submerged in carbon tetrachloride, which has an index of refraction of 1.461? (b) What would the critical angle be for this substance in air?
You are trying to determine the index of refraction for Sapphire. Assume the index of refraction for air is approximately 1. You shine a laser beam into a piece of Sapphire at an angle of 40.56° with respect to the normal. You measure the angle of refraction within the stone to be 23º. What is the index of refraction for Sapphire? Think and Prepare: What law of optics can be used in this problem? A sketch may be useful. Refractive index of Sapphire = Sense-making: Should the index of refraction of sapphire be less than that of air or greater? Does your answer support your prediction?