Why are the fringes of Newton's rings (Fig. 24-31) closer

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Problem 24Q Chapter 24

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Physics: Principles with Applications | 6th Edition

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Problem 24Q

Why are the fringes of Newton's rings (Fig. 24-31) closer together as you look farther from the center?

Step-by-Step Solution:

Step-by-step solution

Step 1 of 3<img src="https://lh6.googleusercontent.com/ssfNd78FBzaV4M5nhxn_TLkCbqh0aA-DGe3I8aPfxeVztjNwEK9cJjWgC9PYLHzSnKy4gpbvDe3KgaWOpx09f1p_oA8qHdCb4HGK3menZyRQ41ylBrEUQrpPeWi2c-8KA9vQdXjg">

The light ray number 2 is reflected from the curved surface of the lens. The light ray number 1 reflect from the lower glass as passing through the thin layer of air remaining between lens and lower glass.  These two reflected rays has 1800 phase difference. Because of 1800 of phase difference the observer sees inference pattern as in the figure.

Step 2 of 3</p>

Since the thickness of the thin air film between the lens and glass is not increasing uniformly. The increase of the thickness of the film is depends on the curvature of the surface of the spherical lens.

The radius of the dark bright fringes on the interference pattern increases according to the relations below from the geometry.

The radius of the  lens is R

The radius of the dark bright fringe is r

The wavelength of the light used is λ

The order of maxima or minima is m

              radius of  for the dark fringes

   radius of bright fringes

The radius of the fringes are proportional to the square of the order number. The radius increase of the fringes decreases with the increase of the order number. That means the fringes get thinner and thiner as we go farther from the center.

Step 3 of 3

Chapter 24, Problem 24Q is Solved
Textbook: Physics: Principles with Applications
Edition: 6th
Author: Douglas C. Giancoli
ISBN: 9780130606204

The full step-by-step solution to problem: 24Q from chapter: 24 was answered by Sieva Kozinsky, our top Physics solution expert on 03/03/17, 03:53PM. Physics: Principles with Applications was written by Sieva Kozinsky and is associated to the ISBN: 9780130606204. The answer to “Why are the fringes of Newton's rings (Fig. 24-31) closer together as you look farther from the center?” is broken down into a number of easy to follow steps, and 18 words. This full solution covers the following key subjects: center, closer, farther, fig, Fringes. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Since the solution to 24Q from 24 chapter was answered, more than 254 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6th.

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