Fundamentals of Physics Extended (10th Edition)

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

Chapter 17 - Waves-II - Problems - Page 508: 23b

Answer

They produce fully constructive interference.

Work Step by Step

When point $P$ is very far away, the path length from $S_1$ to point $P$ and the path length from $S_2$ to point $P$ are essentially the same distance. Therefore, the path length difference is approximately zero. In this case, the phase difference is zero. When the phase difference is zero, they produce fully constructive interference.
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