University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 36 - Diffraction - Problems - Exercises - Page 1213: 36.24

Answer

$51.6^{\circ}$.

Work Step by Step

The maxima are located by $d sin \theta = m \lambda$. The order is the value of m. $$d sin \theta_1 = \lambda$$ $$d sin \theta_4 = 4 \lambda$$ $$sin \theta_4 = 4 sin \theta_1=4 sin 11.3^{\circ}$$ $$\theta_4 = sin^{-1} (4 sin 11.3^{\circ})=51.6^{\circ}$$
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