Final answer:
The relativistic Doppler effect is consistent with the classical Doppler effect in terms of the observed wavelength being larger for motion away from the observer. However, the relativistic Doppler effect considers additional factors related to special relativity. Both effects result in a red shift for motion away and a blue shift for motion towards the observer.
Step-by-step explanation:
The relativistic Doppler effect is consistent with the classical Doppler effect in terms of the observed wavelength (λₒᵦₛ) being larger for motion away from the observer.
In both cases, when the source of electromagnetic radiation moves away from the observer, the observed wavelength is longer, resulting in a red shift. Conversely, when the source moves towards the observer, the observed wavelength is shorter, resulting in a blue shift.
The relativistic Doppler effect takes into account the effects of special relativity, such as time dilation, which can slightly modify the observed wavelength compared to the classical Doppler effect.
Yes, the relativistic Doppler effect is consistent with the classical Doppler effect in the respect that the observed wavelength (λobs) is larger for motion away. This phenomenon is observed when an object emitting electromagnetic radiation moves away from the observer, resulting in an increased wavelength, known as a red shift.
Similarly, when the source moves toward the observer, the observed wavelength is shorter, known as a blue shift. The degree of wavelength shifting becomes more pronounced with greater motion toward or away from the observer.