Explanation Write the equation connecting object and image distance with refractive index. n 1 p + n 2 q = n 2 − n 1 R (I) Here p is the object distance, q is the image distance, R is the radius of curvature, n 1 the refractive index of medium 1 and n 2 is the refractive index of medium 2. As the water surface has no curvature, R = ∞ in (I) Rearrange (I) in terms of q q = − p ( n 2 n 1 ) (II) For the image at the bottom of the plate, q B 1 = − p 1 ( n W n G ) (III) Here p 1 is the thickness of the flint glass, n W is the refractive index of water and n G is the refractive index of glass. The virtual image is q B 1 times below the top surface of the glass. Write the equation to locate the image in the bottom of the plate. q B 2 = − ( n A n W ) ( p + q B 1 ) (IV) Here n A is the refractive index of air. Write the equation for image distance from the top surface of the glass. q T = − ( n A n W ) p (V) Write the equation for apparent thickness Δ t = | q B 2 | − | q T | (VI) Conclusion: Substitute 8 cm for p 1 , 1

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Refraction of Light

Refraction is a change in the direction of light rays when they travel from one medium to another. It is the bending of light when it goes through different media.

Angle of Refraction

Light is considered by many scientists to have dual nature, both particle nature and wave nature. First, Particle nature is one in which we consider a stream of packets of energy called photons. Second, Wave nature is considering light as electromagnetic…

Index of Refraction of Diamond

Diamond, the world’s hardest naturally occurring material and mineral known, is a solid form of the element carbon. The atoms are arranged in a crystal structure called diamond cubic. They exist in a huge variety of colours. Also, they are one of the bes…

Videos

Question

Chapter 26, Problem 25P

To determine

Apparent thickness of the plate.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 26, Problem 24P

Chapter 26, Problem 26P

Students have asked these similar questions

A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water (μ 4/3) into it while looking at the surface of water from the above. When he feels that the = tumbler is half filled, he stops pouring water. Up to what height, the tumbler is actually filled ?

An 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. eye

You 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 (Fig.a). The glass is a thin-walled, hollow cylinder 16.0 cm high. The diameter of the top and bottom of the glass is 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 (Fig.b). What is the index of refraction of the liquid?

Chapter 26 Solutions

Principles of Physics: A Calculus-Based Text

Ch. 26.1 - In the overhead view of Figure 26.4, the image of...Ch. 26.1 - Prob. 26.2QQ Ch. 26.2 - Prob. 26.3QQ Ch. 26.2 - Prob. 26.4QQ Ch. 26.4 - What is the focal length of a pane of window...Ch. 26.4 - Prob. 26.6QQ Ch. 26.5 - Prob. 26.7QQ Ch. 26 - Prob. 1OQ Ch. 26 - (i) When an image of an object is formed by a...Ch. 26 - Prob. 3OQ

Ch. 26 - (i) When an image of an object is formed by a...Ch. 26 - Prob. 5OQ Ch. 26 - If Joshs face is 30.0 cm in front of a concave...Ch. 26 - A converging lens made of crown glass has a focal...Ch. 26 - Two thin lenses of focal lengths f1 = 15.0 and f2...Ch. 26 - Lulu looks at her image in a makeup mirror. It is...Ch. 26 - Prob. 10OQ Ch. 26 - Prob. 11OQ Ch. 26 - Prob. 12OQ Ch. 26 - Prob. 1CQ Ch. 26 - Prob. 2CQ Ch. 26 - Prob. 3CQ Ch. 26 - Prob. 4CQ Ch. 26 - Prob. 5CQ Ch. 26 - Prob. 6CQ Ch. 26 - Suppose you want to use a converging lens to...Ch. 26 - Explain why a fish in a spherical goldfish bowl...Ch. 26 - Prob. 9CQ Ch. 26 - Prob. 10CQ Ch. 26 - Prob. 11CQ Ch. 26 - Prob. 12CQ Ch. 26 - Prob. 13CQ Ch. 26 - Prob. 14CQ Ch. 26 - Prob. 15CQ Ch. 26 - Prob. 1P Ch. 26 - Prob. 2P Ch. 26 - Prob. 3P Ch. 26 - Prob. 4P Ch. 26 - A person walks into a room that has two flat...Ch. 26 - Prob. 6P Ch. 26 - Prob. 7P Ch. 26 - Prob. 8P Ch. 26 - A large hall in a museum has a niche in one wall....Ch. 26 - Prob. 10P Ch. 26 - A concave spherical mirror has a radius of...Ch. 26 - Prob. 12P Ch. 26 - Prob. 13P Ch. 26 - (a) A concave spherical mirror forms an inverted...Ch. 26 - Prob. 15P Ch. 26 - A concave mirror has a radius of curvature of 60.0...Ch. 26 - Prob. 17P Ch. 26 - Prob. 18P Ch. 26 - Prob. 19P Ch. 26 - Prob. 20P Ch. 26 - A dedicated sports car enthusiast polishes the...Ch. 26 - Prob. 22P Ch. 26 - Prob. 23P Ch. 26 - Prob. 24P Ch. 26 - Prob. 25P Ch. 26 - Prob. 26P Ch. 26 - Prob. 27P Ch. 26 - A goldfish is swimming at 2.00 cm/s toward the...Ch. 26 - Prob. 29P Ch. 26 - Prob. 30P Ch. 26 - Prob. 31P Ch. 26 - A converging lens has a focal length of 20.0 cm....Ch. 26 - The left face of a biconvex lens has a radius of...Ch. 26 - Prob. 34P Ch. 26 - Prob. 35P Ch. 26 - The use of a lens in a certain situation is...Ch. 26 - Prob. 37P Ch. 26 - In Figure P26.38, a thin converging lens of focal...Ch. 26 - Figure P26.39 diagrams a cross-section of a...Ch. 26 - Prob. 40P Ch. 26 - Prob. 41P Ch. 26 - An object is at a distance d to the left of a flat...Ch. 26 - Prob. 43P Ch. 26 - A nearsighted person cannot see objects clearly...Ch. 26 - Prob. 45P Ch. 26 - Prob. 46P Ch. 26 - The accommodation limits for a nearsighted persons...Ch. 26 - Prob. 48P Ch. 26 - Prob. 49P Ch. 26 - Prob. 50P Ch. 26 - Prob. 51P Ch. 26 - Prob. 52P Ch. 26 - Prob. 53P Ch. 26 - Prob. 54P Ch. 26 - Prob. 55P Ch. 26 - Prob. 56P Ch. 26 - Prob. 57P Ch. 26 - Prob. 58P Ch. 26 - Prob. 59P Ch. 26 - Prob. 60P Ch. 26 - Prob. 61P Ch. 26 - Prob. 62P Ch. 26 - Prob. 63P Ch. 26 - Prob. 64P Ch. 26 - Prob. 65P Ch. 26 - Prob. 66P Ch. 26 - The disk of the Sun subtends an angle of 0.533 at...Ch. 26 - Prob. 68P Ch. 26 - Prob. 69P Ch. 26 - Prob. 70P Ch. 26 - Prob. 71P Ch. 26 - Figure P26.72 shows a thin converging lens for...Ch. 26 - Prob. 73P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Apparent thickness of the plate.

Solution Summary: The author writes the equation connecting object and image distance with retive index. The virtual image is q_B1 times below the top surface of the glass.

Concept explainers

Videos

Apparent thickness of the plate.

Want to see the full answer?

Chapter 26 Solutions