In a Young's interference experiment, the two slits are separated by 0.155 mm and the incident light includes two wavelengths: d, = 540 nm (green) and 1, = 450 nm (blue). The overlapping interference patterns are observed on a screen 1.48 m from the slits. (a) Find a relationship between the orders m, and m, that determines where a bright fringe of the green light coincides with a bright fringe of the blue light. (The order m, is associated with 1,, and m, is associated with 2,.) m2 %3D (b) Find the minimum values of m, and m, such that the overlapping of the bright fringes will occur. m = m, = Find the position of the overlap on the screen. cm from the central maximum

In a Young's interference experiment, the two slits are separated by 0.155 mm and the incident light includes two wavelengths: d, = 540 nm (green) and 1, = 450 nm (blue). The overlapping interference patterns are observed on a screen 1.48 m from the slits. (a) Find a relationship between the orders m, and m, that determines where a bright fringe of the green light coincides with a bright fringe of the blue light. (The order m, is associated with 1,, and m, is associated with 2,.) m2 %3D (b) Find the minimum values of m, and m, such that the overlapping of the bright fringes will occur. m = m, = Find the position of the overlap on the screen. cm from the central maximum

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 23P: Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a...

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Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

In a Young's interference experiment, the two slits are separated by 0.155 mm and the incident light includes two wavelengths: 1, = 540 nm (green) and 1,
= 450 nm
(blue). The overlapping interference patterns are observed on a screen 1.48 m from the slits.
(a) Find a relationship between the orders m, and m, that determines where a bright fringe of the green light coincides with a bright fringe of the blue light. (The
order m, is associated with 1,, and m, is associated with 1,.)
m2
m1
(b) Find the minimum values of m,
and m, such that the overlapping of the bright fringes will occur.
m1
m2
Find the position of the overlap on the screen.
cm from the central maximum

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