Doppler Frequency Calculator
Calculate the observed frequency due to the Doppler effect: f_obs = f_source * (c + v_observer) / (c + v_source), with sign convention for approach/recession.
Observed Frequency
404.6113 Hz
Observed Frequency vs Source Frequency
सूत्र
## Doppler Effect for Sound The Doppler effect shifts the observed frequency when the source or observer is moving relative to the medium. ### Formula **f_obs = f_s * (c + v_obs) / (c + v_src)** Sign convention: v_obs is positive when moving toward the source; v_src is positive when moving away from the observer. - Source approaching: lower denominator, higher f_obs - Source receding: higher denominator, lower f_obs
हल किया गया उदाहरण
A 440 Hz siren moves away at 30 m/s, observer stationary.
- 01f_obs = 440 * (343 + 0) / (343 + 30)
- 02f_obs = 440 * 343 / 373
- 03f_obs = 440 * 0.9196
- 04f_obs = 404.6 Hz (lower pitch)
अक्सर पूछे जाने वाले प्रश्न
Why does an ambulance siren change pitch as it passes?
As it approaches, the sound waves are compressed (higher frequency). As it recedes, the waves are stretched (lower frequency). The transition happens as the vehicle passes.
Does the Doppler effect apply to light?
Yes, but the relativistic Doppler formula differs. For light, there is no medium, and time dilation must be accounted for.
What happens if the source moves faster than sound?
A shock wave (sonic boom) forms. The Doppler formula breaks down and Mach cone analysis is needed.
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