A double slit system is illuminated with a mixture of red and blue light. Which color produces its first order (m=1) maximum at a position that is closer to the central maximum in the interference pattern? 1) the blue light 2) both colors produce their first order maximum at same position 3) the red light

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter27: Wave Optics
Section: Chapter Questions
Problem 13P: A pair of narrow, parallel slits separated by 0.250 mm are illuminated by green light ( = 546.1 nm)....
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A double slit system is illuminated with a mixture of red and blue light. Which color produces its first order (m=1) maximum at a position that is closer to the central maximum in the interference pattern?

1) the blue light
2) both colors produce their first order maximum at same position
3) the red light
Expert Solution
Step 1

Let m denotes the order of the diffraction, d denotes the separation between the slits, θ denotes the angle, and λ denotes the wavelength. Therefore, the formula for the diffraction in double slit can be expressed as,

 

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