Change in Frequency/Wavelength in Doppler Effect

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SUMMARY

The discussion focuses on determining the final frequency and wavelength in the context of the Doppler Effect using the equations Δλ / λ = v / c and Δf / f = v / c. It emphasizes the importance of understanding whether to add or subtract the change in frequency (Δf) or wavelength (Δλ) based on the motion of the source. Specifically, when the source approaches, the frequency increases and the wavelength decreases, while the opposite occurs when the source moves away. The discussion highlights the necessity of recognizing the four cases for sound to accurately apply these principles.

PREREQUISITES
  • Understanding of the Doppler Effect
  • Familiarity with the equations Δλ / λ = v / c and Δf / f = v / c
  • Knowledge of frequency (f) and wavelength (λ) relationships
  • Basic concepts of wave motion and sound propagation
NEXT STEPS
  • Study the four cases of the Doppler Effect for sound
  • Learn about the mathematical derivation of the Doppler Effect equations
  • Explore practical applications of the Doppler Effect in astronomy and radar technology
  • Investigate the impact of medium on sound wave propagation and frequency shifts
USEFUL FOR

Students in physics, educators teaching wave mechanics, and professionals in fields such as acoustics and astrophysics who require a solid understanding of the Doppler Effect and its applications.

Samurai44
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Greetings ,
Many Doppler effect questions require to find the final Frequency/Wavelength. so after using the equation :
Δλ / λ = v / c or Δf / f = v / c
How can I know if the change in Frequency/Wavelength is positive or negative to calculate the final frequency or wavelength. because sometimes they add the change to initial but in others they subtract .

i know this's all related to :
* Δf= ff - fi or Δλ=λf - λi
* Source approaching: frequency increase , hence wavelength gets shorter
* Source moving away : frequency decrease , hence wavelength gets longer
 
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One way to imagine this fact is to thinking about the distance. If distance get shorter then λ get shorter. Source frequency does not change but for the adapter it likes to be larger.
 
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Samurai44 said:
Greetings ,
Many Doppler effect questions require to find the final Frequency/Wavelength. so after using the equation :
Δλ / λ = v / c or Δf / f = v / c
How can I know if the change in Frequency/Wavelength is positive or negative to calculate the final frequency or wavelength. because sometimes they add the change to initial but in others they subtract .

i know this's all related to :
* Δf= ff - fi or Δλ=λf - λi
* Source approaching: frequency increase , hence wavelength gets shorter
* Source moving away : frequency decrease , hence wavelength gets longer
It will depend on the situation. You need to understand various cases (there are 4 cases for sound) and pick-up the right sign.
https://s-media-cache-ak0.pinimg.com/originals/fa/4d/02/fa4d027ccc0ebeca28acd83c84aa2861.jpg
 
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