6.4 Chapter summary
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6.4 Chapter summary (ESCMV)
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The Doppler effect is a change in observed frequency due to the relative motion of a source and an observer.
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The following equation can be used to calculate the frequency of the wave according to the observer or listener:
\[{f}_{L}=\left(\frac{v+{v}_{L}}{v+{v}_{S}}\right){f}_{S}\] -
If the direction of the wave from the listener to the source is chosen as positive, the velocities have the following signs:
Source moves towards listener
\({v}_{S}\): negative
Source moves away from listener
\({v}_{S}\): positive
Listener moves towards source
\({v}_{L}\): positive
Listener moves away from source
\({v}_{L}\): negative
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The Doppler effect can be observed in all types of waves, including ultrasound, light and radiowaves.
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Sonography makes use of ultrasound and the Doppler effect to determine the direction of blood flow.
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Light is emitted by stars. Due to the Doppler effect, the frequency of this light decreases and the stars appear redder than if they were stationary. This is called a red shift and means that the stars are moving away from the Earth. This is one of the reasons we can conclude that the Universe is expanding.
Physical Quantities | ||
Quantity | Unit name | Unit symbol |
Frequency (\(f\)) | hertz | \(\text{Hz}\) |
Speed (\(v\)) | metres per second | \(\text{m·s$^{-1}$}\) |
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6.3 The Doppler effect with light
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End of chapter exercises
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