Doppler effect: separate source motion from wave speed
| English | Français |
|---|---|
| Doppler shift/ˈdɒplə ʃɪft/ | Effet Doppler |
| wavefront/ˈweɪvfrʌnt/ | front d'onde |
What would explain this observation?
- An approaching sound source is heard at a higher pitch even when the source produces a constant frequency.
- Start with a prediction. State the quantities or features you would compare, then decide what evidence could distinguish two explanations.
Build the model
- Doppler shift 多普勒频移 arises from relative source-observer motion. A moving source compresses wavefront 波面 spacing ahead and increases it behind. For sound in a stationary medium, the wave speed relative to that medium need not change.
- Doppler shift: Change of observed frequency due to relative motion; wavefront: A surface joining points with the same wave phase.
Why is pitch higher in front of an approaching sound source?
For a source approaching a stationary observer along the line of sight, f observed = f source × v/(v−v source). Recession uses v+v source in the denominator. These are sound-wave models; light requires its appropriate relation.
Match each technical term to its precise meaning.
Use the definitions to distinguish related quantities and processes.
Choose evidence that can test it
- For a source approaching a stationary observer along the line of sight, f observed = f source × v/(v−v source). Recession uses v+v source in the denominator. These are sound-wave models; light requires its appropriate relation.
- Use a simulation or recorded data with stated source and observer directions. Draw wavefronts before choosing signs. Avoid demonstrations near moving traffic or unsafe high-volume sources.
Which two habits make the investigation or model in this case more defensible?
Use a simulation or recorded data with stated source and observer directions. Draw wavefronts before choosing signs. Avoid demonstrations near moving traffic or unsafe high-volume sources.
Work from known quantities
- State the known values and their units. Choose the relation because its assumptions fit this case, then rearrange before substitution.
- Known: source frequency 500 Hz, sound speed 340 m/s, source approaches at 20 m/s. Observed frequency = 500 × 340/(340−20) = 531.25 Hz. The increase is 31.25 Hz; it is not the source frequency changing.
A 600 Hz source approaches a stationary observer at 20 m/s. Use v = 340 m/s. Find observed frequency. Use the same sequence: known quantities → model → relation → substitution → unit and interpretation.
A 600 Hz source approaches a stationary observer at 20 m/s. Use v = 340 m/s. Find observed frequency.
The result is 637.5 Hz. Known: source frequency 500 Hz, sound speed 340 m/s, source approaches at 20 m/s. Observed frequency = 500 × 340/(340−20) = 531.25 Hz. The increase is 31.25 Hz; it is not the source frequency changing.
Check the conclusion and its limits
- A stationary source and moving observer require the observer-motion relation. Do not use the same denominator formula for every arrangement or import a sound formula into relativity.
- Return to the original observation. Explain what the result supports, which conditions it assumes, and one way to test a competing explanation.
The Doppler effect always means the wave speed in the medium changed. This claim is false: A stationary source and moving observer require the observer-motion relation. Do not use the same denominator formula for every arrangement or import a sound formula into relativity.
Doppler effect: separate source motion from wave speed: For a source approaching a stationary observer along the line of sight, f observed = f source × v/(v−v source). Recession uses v+v source in the denominator. These are sound-wave models; light requires its appropriate relation.
The Doppler effect always means the wave speed in the medium changed.
A stationary source and moving observer require the observer-motion relation. Do not use the same denominator formula for every arrangement or import a sound formula into relativity.
Change of observed frequency due to relative motion: write the technical term.
Doppler shift means Change of observed frequency due to relative motion.