Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 36 - Diffraction - Problems - Page 1109: 6b

Answer

$\alpha = 0.118mm$

Work Step by Step

Since we know the angle, $\theta$, from part 6a, we can use the given order and wavelength in equation (36-3) to solve for the slit width, $\alpha$. $\alpha \sin \theta = m \lambda $ where $m=1,2,3,....$ (minima) Therefore; $\alpha = m \lambda / \sin \theta$ $\alpha = 2* 441*10^{-9}m / \sin 0.430^{\circ}$ $\alpha = 1.18*10^{-4}m$ $\alpha = 0.118mm$
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