Explanation Write equation 38.1 which is the equation for destructive interference. sin θ = m λ a m = ± 1 , ± 2 , ± 3 , … Here, θ is the diffraction angle, m is the order, λ is the wavelength of light used, a is the slit width. Draw the ray diagram showing the path difference between two rays. On looking the above figure, condition for destructive interference is that the path difference between ray 1 and 3 must be equal to λ 2 . Write the equation for destructive interference first order when the approaching angle of incident ray towards slit is far away from angle β . a 2 sin β = λ 2 Write the equation for destructive interference first order when the approaching angle of incident ray toward slit is closer to angle β . a 2 sin β + a 2 sin θ = λ 2 It means that an additional path difference of angle β is added. Rewrite the above equation terms of sin θ . sin θ = λ a − sin β Write the equation for destructive interference second order when the approaching angle of incident ray toward slit is closer to angle β

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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Chapter 38, Problem 10P

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Prove that the equation 38.1 can be rewritten as sinθdark=mλa−sinβ for destructive interference.

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Chapter 38, Problem 9P

Chapter 38, Problem 11P

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Chapter 38 Solutions

Physics for Scientists and Engineers with Modern Physics, Technology Update

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Prove that the equation 38.1 can be rewritten as sin θ dark = m λ a − sin β for destructive interference.

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Prove that the equation 38.1 can be rewritten as sinθdark=mλa−sinβ for destructive interference.

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Chapter 38 Solutions