Snell's Law: Frequency, Velocity, Wavelength Ratios

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SUMMARY

The discussion centers on applying Snell's Law to determine the ratios of frequency, velocity, and wavelength of waves transitioning from deep to shallow water. The angle of incidence is 70 degrees, and the angle of refraction is 55 degrees. The relevant equation is sinθ1/sinθ2 = v1/v2, which relates the angles to the velocities in the two media. Additionally, the discussion emphasizes the need to incorporate wavelength into the calculations for a complete understanding of the ratios.

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  • Knowledge of wave properties: frequency, velocity, and wavelength
  • Basic trigonometry, particularly sine functions
  • Familiarity with ripple tank experiments and wave behavior in different media
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  • Learn how to calculate wave velocity in different media using the formula v = fλ
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Homework Statement



A wave in a ripple tank moved from deep to shallow water with angle of incidence of 70' and angle of refraction of 55'. What are ratios in two media of the frequencies, velocities, wavelengths.

What does it mean by the ratio?

Homework Equations



sinθ1/sinθ2=v1/v2.

The Attempt at a Solution



I have no clue how to do this or understand the question. Would they be the formula sinθ1/sinθ2=v1/v2.

Need some urgent help thanks!
 
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A ratio is like division, the ratio of a to be is written as a:b or a/b.

so if your ratio of a:b is 1:2 you can write a/b = 1/2 = 0.5.

For you relevant equation, you will also need to extend that to include wavelength.
 

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