Answered: sin α2 C2 sin α1 C1

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

In 400 m depth water, a 17 sec period wave has a wave angle of ? = 60 degrees and a wave height of 2.3 m.

What is the angle ? of the wave in 6 m depth water, in degrees?

Expert Solution

Step 1: Concept:

To solve this problem, we can use Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the velocities of the wave in the two mediums:

(sin α₁ / sin α₂ ) = (v1 / v2)

where,
α₁ is the angle of incidence in the first medium
α₂ is the angle of refraction in the second medium
C₁ or v₁ is the velocity of the wave in the first medium
C₂ or v₂ is the velocity of the wave in the second medium.

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