Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 28 - Physical Optics: Interference and Diffraction - Problems and Conceptual Exercises - Page 1009: 100

Answer

(A)$~1.01\times 10^{-4}rad$

Work Step by Step

The required linear separation can be determined as $Linear \space separation=\frac{Height \space of \space screen}{Number \space of \space horizontal \space lines}$ We plug in the known values to obtain: $Linear\space separation=\frac{15.70}{1080}inch=(\frac{15.70}{1080}inch)(\frac{25.4mm}{1inch})$ $Linear\space separation=0.369mm$ Now $\theta=\frac{linear \space separation}{distance}$ We plug in the known values to obtain: $\theta=\frac{0.369mm}{12ft}$ $\theta=(\frac{0.369mm}{12ft})(\frac{1ft}{304.8mm})$ $\theta=1.01\times 10^{-4}rad$
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