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How is the Doppler Effect calculated?
Answer
352.8k+ views
Hint: As per the given question, we know that Doppler shift is dependent upon the frequency of the wave, velocity of the wave, and the velocity of the receiver as well as the source. With the help of all these factors, we can calculate the Doppler effect.
Complete answer:
The formula below can be used to compute the Doppler shift:
\[f = \dfrac{{{f_0}\;(v + {v_r})}}{{(v + {v_s})}}\]
where, $f$ is the observed frequency of the wave in Hertz.
${f_0}$ is the observed frequency of the wave in Hertz.
$v$ is the velocity of the wave in the medium.
${v_r}$ is the velocity of the receiver.
${v_s}$ is the velocity of the source.
The Doppler effect, often known as the Doppler shift (or just Doppler), is the change in frequency of a wave as the observer moves away from the wave source.
The change in pitch perceived as a vehicle with a horn approaching and receding from an observer is a common example of Doppler shift. The received frequency is higher during the approach, identical at the instant of passing by, and lower during the recession as compared to the emitted frequency.
The Doppler effect occurs because each subsequent wave crest is emitted from a place closer to the observer than the preceding wave crest while the source of the waves is moving towards the observer. As a result, each wave takes a fraction of a second longer to reach the observer than the one before it.
Note:
In RADAR sensors, the Doppler effect is employed to quantify speed. The frequency of the reflected radio wave is modified when a fixed-frequency radio wave sent from the sender constantly contacts an object moving towards or away from the sender. The Doppler Effect is the name for this frequency shift.
Complete answer:
The formula below can be used to compute the Doppler shift:
\[f = \dfrac{{{f_0}\;(v + {v_r})}}{{(v + {v_s})}}\]
where, $f$ is the observed frequency of the wave in Hertz.
${f_0}$ is the observed frequency of the wave in Hertz.
$v$ is the velocity of the wave in the medium.
${v_r}$ is the velocity of the receiver.
${v_s}$ is the velocity of the source.
The Doppler effect, often known as the Doppler shift (or just Doppler), is the change in frequency of a wave as the observer moves away from the wave source.
The change in pitch perceived as a vehicle with a horn approaching and receding from an observer is a common example of Doppler shift. The received frequency is higher during the approach, identical at the instant of passing by, and lower during the recession as compared to the emitted frequency.
The Doppler effect occurs because each subsequent wave crest is emitted from a place closer to the observer than the preceding wave crest while the source of the waves is moving towards the observer. As a result, each wave takes a fraction of a second longer to reach the observer than the one before it.
Note:
In RADAR sensors, the Doppler effect is employed to quantify speed. The frequency of the reflected radio wave is modified when a fixed-frequency radio wave sent from the sender constantly contacts an object moving towards or away from the sender. The Doppler Effect is the name for this frequency shift.
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