University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)

14th Edition

ISBN: 9780321982582

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will p…

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Textbook Question

Chapter 36, Problem 36.24E

Monochromatic light is at normal incidence on a plane transmission grating. The first-order maximum in the interference pattern is at an angle of 11.3°. What is the angular position of the fourth-order maximum?

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Chapter 36, Problem 36.23E

Chapter 36, Problem 36.25E

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How much diffraction spreading does a light beam undergo? One quantitative answer is the full width at half maximum of the central maximum of the single-slit Fraunhofer diffraction pattern. You can evaluate this angle of spreading in this problem. (a) as shown, define φ = πa sin φ/λ and show that at the point where I = 0.5Imax we must have φ = √2 sin φ. (b) Let y1 = sin φ and y2 = φ = /√2. Plot y1 and y2 on the same set of axes over a range from φ = 1 rad to φ = π/2 rad. Determine φ from the point of intersection of the two curves. (c) Then show that if the fraction λ/a is notlarge, the angular full width at half maximum of the central diffraction maximum is θ = 0.885λ/a. (d) What If? Another method to solve the transcendental equation φ = √2 sin φ in part (a) is to guess a first value of φ, use a computer or calculator to see how nearly it fits, and continue to update your estimate until the equation balances. How many steps(iterations) does this process take?

A monochromatic light with 536nm pass through a slit that is 0.240 mm wide. In the resulting diffraction pattern, the intensity at the center of the central maximum is 4.00 *10-5 W/m2. What is the intensity at a point on the screen the corresponding to θ=1.20˚?

Chapter 36 Solutions

University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)

Ch. 36.1 - Can sound waves undergo diffraction around an...Ch. 36.2 - Rank the following single-slit diffraction...Ch. 36.3 - Coherent electromagnetic radiation is sent through...Ch. 36.4 - Suppose two slits, each of width a, are separated...Ch. 36.5 - What minimum number of slits would be required in...Ch. 36.6 - Prob. 36.6TYU Ch. 36.7 - Prob. 36.7TYU Ch. 36 - Why can we readily observe diffraction effects for...Ch. 36 - Prob. 36.2DQ Ch. 36 - You use a lens of diameter D and light of...

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University Physics (14th Edition)

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