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Integrated ConceptsA water break at the entrance to a harbor consists of a rock barrier with a 50.0-m-wide opening. Ocean waves of 20.0-m wavelength approach the opening straight on. At what angle to the incident direction are the boats inside the harbor most protected against wave action?

$23.6^{\circ}$$53.1^{\circ}$

Physics 103

Chapter 27

Wave Optics

University of Michigan - Ann Arbor

Simon Fraser University

University of Sheffield

McMaster University

Lectures

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here we have um the 50 meter opening for a water here going So we were asked to find it. What angle? Here theta. Will the boat be protected? The boat to be protected. So in order to find that we use, the theta is equal to Sinan. Worse off for for for first minimum. For the first meeting room minimum, the boat will be protected. Therefore, a musical to one year. So we're just simply right. One here, one times 2020 east 20 meter Is development off the way we're coming? Um do I did buy idea. We're off the opening, which is 50 meters. So here is the meter simply finest. We get 23 0.58 degrees. So it's 23 22.58 degrees. We have for our first move, the boat will be protected home. So since the main peak for the single slip diffraction is the main problem. A boat in the harbor off an angle greater than the first diffraction minimum will feel smaller whales at the second minimum many more. The boat will not be affected by the waves. It also for the second human being will be signed Worse two multiplied 20 derided by 50. So soon Find this We get 53.13 weenies. So we see it a second minimum. The boat will not be affected by the waves that at all at this angle. So should be 53.13 somewhere here, Yeah.

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