Question on standing/stationary waves

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SUMMARY

The discussion focuses on the interference patterns created by two navigation beacons transmitting radio waves of 4000m wavelength, positioned 60km apart. As a ship moves towards one beacon, it experiences a combination of constructive and destructive interference due to the phase alignment of the waves. The ship, located midway between the beacons, will receive varying signal strengths as it travels the next 6km, influenced by the interference pattern established by the two sources. This phenomenon can be visualized using online simulations that demonstrate wave interference.

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  • Understanding of wave properties, specifically wavelength and frequency.
  • Knowledge of interference patterns, including constructive and destructive interference.
  • Familiarity with basic trigonometry for visualizing wave interactions.
  • Ability to use online simulation tools for wave interference analysis.
NEXT STEPS
  • Explore wave interference simulations available at educational websites.
  • Study the principles of constructive and destructive interference in detail.
  • Learn about the mathematical representation of wave functions and their interactions.
  • Investigate real-world applications of wave interference in navigation and communication systems.
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Students studying physics, particularly those interested in wave mechanics, as well as educators looking for practical examples of wave interference in navigation technology.

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Homework Statement



Two navigation beacons 60km apart transmit radio waves of wavelength 4000m. The signals start with the same phase and amplitude. A ship is midway between them and is sailing straight towards one of them. Describe what happens to the signals received on board the ship over the next 6km.

Homework Equations


v=f x lambda ?


The Attempt at a Solution


Um... I just don't really get it...
I was thinking along the lines that there would 15 waves in the 60km...?
 
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The two sources create a pattern of constructive and destructive interference.
You could draw it with a compass or take a look at a simulation - there are many on the web like this one: http://www.ngsir.netfirms.com/englishhtm/Interference.htm
 
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