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I am doing doppler effect and this question wants me to prove that the wavelength perceived by the observer and that of the wave emitted is the same.

I tried doing it but couldn't, so I checked out what they had as an answer:

They said that the wavelength of the emitted wave is: v / f, which I agree with

They said the perceived wavelength is equal to: u + v / f (1 + u/v), which I also agree with.

Now, how they proved that those are equal I don't understand... I tried but I just can't see it. Can anyone help me with the steps involved?

Thanks,

Peter

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# Doppler Effect (Proving equal wavelengths )

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