Find maximum wavelength using minimum wavelength and frequency difference

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SUMMARY

The discussion centers on calculating the maximum wavelength of a radar signal given a frequency difference of 10 GHz and a minimum detected wavelength of 4910 µm. The relevant equation used is λƒ=c, where λ is the wavelength, ƒ is the frequency, and c is the speed of light. The confusion arose from the relationship between wavelength and frequency, specifically that the minimum wavelength corresponds to the maximum frequency. Correctly interpreting this relationship is crucial for solving the problem accurately.

PREREQUISITES
  • Understanding of the wave equation λƒ=c
  • Basic knowledge of frequency and wavelength relationships
  • Familiarity with radar signal detection concepts
  • Ability to convert frequency (GHz) to wavelength (µm)
NEXT STEPS
  • Learn how to convert frequency to wavelength using the equation λ=c/ƒ
  • Study the implications of frequency and wavelength in radar technology
  • Explore the concept of maximum and minimum wavelengths in electromagnetic waves
  • Investigate practical applications of radar signal processing
USEFUL FOR

Students in physics or engineering, radar technology enthusiasts, and anyone involved in signal processing or electromagnetic wave studies will benefit from this discussion.

Shaulah
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Homework Statement


A radar receiver can be tuned to detect signals are different wavelengths. If the frequency difference between the minimum and maximum wavelength is 10 GHz and the minimum detected wavelength is 4910µm. What would be the maximum wavelength?

Homework Equations


λƒ=c

The Attempt at a Solution


I attempted to use the above equation to convert 10GHz to wavelength and then add to the minimum wavelength but this appears to be incorrect and I'm struggling to figure out the proper way to go about this. I know I must be missing something very basic
 
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Shaulah said:

Homework Statement


A radar receiver can be tuned to detect signals are different wavelengths. If the frequency difference between the minimum and maximum wavelength is 10 GHz and the minimum detected wavelength is 4910µm. What would be the maximum wavelength?

Homework Equations


λƒ=c

The Attempt at a Solution


I attempted to use the above equation to convert 10GHz to wavelength and then add to the minimum wavelength but this appears to be incorrect and I'm struggling to figure out the proper way to go about this. I know I must be missing something very basic
Does the minimum wavelength correspond to the minimum or to the maximum frequency ?
 
Ah! minimum wavelength corresponds to maximum frequency! Thank you! That little error was throwing quite the wrench into the problem
 

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