Is Doppler Effect Infinite when Wave Velocity Equals Emitter Velocity?

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Homework Help Overview

The discussion revolves around the Doppler effect, particularly the scenario where the wave velocity equals the emitter's velocity. Participants explore the implications of this condition on frequency and wavelength, questioning whether it leads to an infinite frequency.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the theoretical implications of the Doppler effect when the emitter travels at the speed of sound, considering the relationship between frequency and wavelength. Questions arise regarding the derivation of the Doppler formula and the conditions under which certain approximations can be made.

Discussion Status

There is an ongoing exploration of the theoretical aspects of the Doppler effect, with some participants providing insights into the relationship between wave velocity and frequency. Questions about the derivation of the Doppler formula and the application of approximations indicate a productive dialogue, though no consensus has been reached.

Contextual Notes

Participants are navigating the complexities of the Doppler effect in both classical and non-relativistic contexts, with references to specific conditions and approximations that may apply. The discussion reflects a mix of theoretical inquiry and practical implications of sound wave behavior.

Raparicio
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Hello.

I have a question on Doppler effect. When the wave has the same velocity that the emisor, u have this:

[tex]f= \frac {\partial {(Vs-Vo)}} {\partial {(Vs-Ve)}} f'[/tex]

In this case, Vs=Ve, f=infinite?
 
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Theoretically, yes. When the emitter travels at the speed of sound, the emitted waves travel along with the emitter and therefore the wavelength will go to zero. So f = Vs/wavelength goes to infinity. That's why you here a blast when a jet reaches sound speed.
 
d

Timbuqtu said:
Theoretically, yes. When the emitter travels at the speed of sound, the emitted waves travel along with the emitter and therefore the wavelength will go to zero. So f = Vs/wavelength goes to infinity. That's why you here a blast when a jet reaches sound speed.

Where can i find the demonstration of doppler formula?
 
There's an elegant proof for the Doppler-Fizeau formula in electrodynamics books.I'm sure that setting "c"----"v_{sound}" & making approximations u can find the nonrelativistic cases...All 4 of them (in the case of leght,there are only 2).

Daniel.
 
dextercioby said:
There's an elegant proof for the Doppler-Fizeau formula in electrodynamics books.I'm sure that setting "c"----"v_{sound}" & making approximations u can find the nonrelativistic cases...All 4 of them (in the case of leght,there are only 2).

Daniel.

Dear Dextercious:

I don't understand this "I'm sure that setting "c"----"v_{sound}" & making approximations".

Setting where?
 
In the general Doppler-Fizeau formula...

Daniel.
 

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