Explanation Draw the function ϕ = π a sin θ λ by using figure 38.7 as a starting point. Write the condition for first order central maxima in diffraction. a sin θ = λ Here, a is the slit width, θ is the angle of diffraction, and λ is the wavelength. Write the condition for second order maxima in diffraction. a sin θ = 2 λ The minima occurs on both sides of central maxima in the above situations. Write the condition for diffraction minima. ( π a sin θ ) / λ = π , − π , 2 π , − 2 π , ... Write the relation between a and the distance between slits. d = 3 a Here, d is the distance between the slits. The interference pattern is observed within the diffraction envelope. Write the condition for the interference maxima observed within diffraction pattern. d sin θ = m λ Here, m is the order of diffraction. Rewrite the above equation by substituting 3 a for d . 3 a sin θ = m λ a sin θ λ = m 3 Multiply on both sides with π

Physics for Scientists and Engineers with Modern Physics, Technology Update

9th Edition

ISBN: 9781305401969

Author: SERWAY, Raymond A.; Jewett, John W.

Publisher: Cengage Learning

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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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Chapter 38, Problem 9P

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Graph the variation of intensity with ϕ=πasinθλ which is the combined effect of diffraction and interference.

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Chapter 38, Problem 8P

Chapter 38, Problem 10P

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Physics for Scientists and Engineers with Modern Physics, Technology Update

Ch. 38.2 - Suppose the slit width in Figure 37.4 is made half...Ch. 38.2 - Prob. 38.2QQ Ch. 38.3 - Cats eyes have pupils that can be modeled as...Ch. 38.3 - Suppose you are observing a binary star with a...Ch. 38.4 - Ultraviolet light of wavelength 350 nm is incident...Ch. 38.6 - A polarizer for microwaves can be made as a grid...Ch. 38.6 - Prob. 38.7QQ Ch. 38 - Prob. 1OQ Ch. 38 - Prob. 2OQ Ch. 38 - Prob. 3OQ

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Graph the variation of intensity with ϕ = π a sin θ λ which is the combined effect of diffraction and interference.

Solution Summary: The author illustrates the function varphi =pi amathrmsintheta lambda by using figure 38.7.

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Graph the variation of intensity with ϕ=πasinθλ which is the combined effect of diffraction and interference.

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Chapter 38 Solutions