Fundamentals of Physics Extended (10th Edition)

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

Chapter 35 - Interference - Problems - Page 1075: 26b

Answer

The slit separation should be decreased.

Work Step by Step

We can write an expression for $\theta$: $d~sin~\theta = m~\lambda$ $sin~\theta = \frac{m~\lambda}{d}$ $sin~\theta = \frac{4~\lambda}{d}$ In order to eliminate all visible light in the fourth-order maximum, we need to increase the value of the expression $\frac{4~\lambda}{d}$ until it is greater than 1 for all wavelengths of visible light. To increase the value of this expression, the slit separation $d$ should be decreased.
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