Final answer:
The question is about calculating the wavelength of an ambulance siren as it moves away from an observer, employing the Doppler Effect principles. To find the wavelength, we use the speed of sound and the source frequency, resulting in a wavelength of approximately 0.868 meters.
Step-by-step explanation:
The student's question involves the calculation of a wavelength as perceived by an observer when an ambulance with an activated siren is moving away from the observer. This problem is rooted in the concepts of the Doppler Effect and the properties of sound waves, which are part of the high school physics curriculum. To solve this question, one can use the Doppler Effect equation which relates the observed frequency (fo), the source frequency (fs), the velocity of sound (v), and the velocity of the source (vs) when it is moving away from the observer.
To find the wavelength (λ), we must first get the speed of the ambulance using the measured frequencies and the speed of sound. Once we have the speed, we can use the formula λ = v / f, where v is the speed of sound, and f is the source frequency, to find the required wavelength. However, the original frequencies provided are irrelevant to the final step, which is to calculate the wavelength using the source frequency of 395 Hz and the speed of sound of 343 m/s.
Using the formula for wavelength, the observer would measure a wavelength given by: λ = 343 m/s / 395 Hz = 0.868 m. Hence, the wavelength of the sound of the ambulance siren, as measured by the student when the ambulance is moving away, is approximately 0.868 meters.