Solving Sonar Wavelength for Bats Detecting Mosquitos

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SUMMARY

Bats operating on a SONAR system at a frequency of 50 kHz produce a wavelength of approximately 6.88 mm. Since SONAR requires targets to be larger than one wavelength for detection, bats cannot detect mosquitoes that are only 2 mm in size. The relevant equation for this analysis is c = fλ, where c is the speed of sound, f is the frequency, and λ is the wavelength. The initial confusion regarding the equation v = change in x/change in t is clarified, as it is not applicable in this context.

PREREQUISITES
  • Understanding of SONAR technology and its operational principles
  • Knowledge of wave properties, specifically wavelength and frequency
  • Familiarity with the equation c = fλ for calculating wavelength
  • Basic physics concepts related to sound propagation
NEXT STEPS
  • Study the principles of SONAR technology and its applications in wildlife detection
  • Learn about sound wave properties and their implications in various environments
  • Explore the effects of frequency on detection capabilities in echolocation
  • Investigate other species that utilize SONAR and their detection ranges
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Students studying physics, wildlife biologists researching bat behavior, and anyone interested in the mechanics of echolocation and SONAR technology.

wakejosh
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Homework Statement



a bat operates on SONAR system at a frequency of about 50khz. Since SONAR only responds to targets larger than one wavelength in size, can't he bat detect mosquitos that are about 2mm in size?

Homework Equations



v= change in x/change in t

The Attempt at a Solution



for 50 KHz i find the wavelength to be 6.88 mm, so the bat will not detect the small 2mm mosquitos. is this correct?
 
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looks alright to me, but I'm not sure why you posted that equation. The one you need to use and it looks like you have is [tex]c=f\lambda[/tex]
 

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