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The doppler effect with sound

  1. Suppose a train is approaching you as you stand on the platform at the station. As the train approaches the station, it slows down. All the while, the engineer is sounding the hooter at a constant frequency of 400 Hz. Describe the pitch and the changes in pitch that you hear.
  2. Passengers on a train hear its whistle at a frequency of 740 Hz. Anja is standing next to the train tracks. What frequency does Anja hear as the train moves directly toward her at a speed of 25 m · s - 1 ?
  3. A small plane is taxiing directly away from you down a runway. The noise of the engine, as the pilot hears it, has a frequency 1,15 times the frequency that you hear. What is the speed of the plane?

The doppler effect with light

Light is a wave and earlier you learnt how you can study the properties of one wave and apply the same ideas to another wave. The same applies to sound and light. We know the Doppler effect affects sound waves when the source is moving. Therefore, if we apply the Doppler effect to light, the frequency of the emitted light should change when the source of the light is moving relative to the observer.

When the frequency of a sound wave changes, the sound you hear changes. When the frequency of light changes, the colour you would see changes.

This means that the Doppler effect can be observed by a change in sound (for sound waves) and a change in colour (for light waves). Keep in mind that there are sounds that we cannot hear (for example ultrasound) and light that we cannot see (for example ultraviolet light).

We can apply all the ideas that we learnt about the Doppler effect to light. When talking about light we use slightly different names to describe what happens. If you look at the colour spectrum (more details Chapter  [link] ) then you will see that blue light has shorter wavelengths than red light. If you are in the middle of the visible colours then longer wavelengths are more red and shorter wavelengths are more blue. So we call shifts towards longer wavelengths "red-shifts" and shifts towards shorter wavelengths "blue-shifts".

Blue light has shorter wavelengths than red light.

A shift in wavelength is the same as a shift in frequency. Longer wavelengths of light have lower frequencies and shorter wavelengths have higher frequencies. From the Doppler effect we know that when things move towards you any waves they emit that you measure are shifted to shorter wavelengths (blueshifted). If things move away from you, the shift is to longer wavelengths (redshifted).

The expanding universe

Stars emit light, which is why we can see them at night. Galaxies are huge collections of stars. An example is our own Galaxy, the Milky Way, of which our sun is only one of the millions of stars! Using large telescopes like the Southern African Large Telescope (SALT) in the Karoo, astronomers can measure the light from distant galaxies. The spectrum of light can tell us what elements are in the stars in the galaxies because each element emits/absorbs light at particular wavelengths (called spectral lines). If these lines are observed to be shifted from their usual wavelengths to shorter wavelengths, then the light from the galaxy is said to be blueshifted . If the spectral lines are shifted to longer wavelengths, then the light from the galaxy is said to be redshifted . If we think of the blueshift and redshift in Doppler effect terms, then a blueshifted galaxy would appear to be moving towards us (the observers) and a redshifted galaxy would appear to be moving away from us.

  • If the light source is moving away from the observer (positive velocity) then the observed frequency is lower and the observed wavelength is greater (redshifted).
  • If the source is moving towards (negative velocity) the observer, the observed frequency is higher and the wavelength is shorter (blueshifted).

Edwin Hubble (20 November 1889 - 28 September 1953) measured the Doppler shift of a large sample of galaxies. He found that the light from distant galaxies is redshifted and he discovered that there is a proportionality relationship between the redshift and the distance to the galaxy. Galaxies that are further away always appear more redshifted than nearby galaxies. Remember that a redshift in Doppler terms means a velocity of the light source away from the observer. So why do all distant galaxies appear to be moving away from our Galaxy?

The reason is that the universe is expanding! The galaxies are not actually moving themselves, rather the space between them is expanding!

Summary

  1. The Doppler Effect is the apparent change in frequency and wavelength of a wave when the observer and source of the wave move relative to each other.
  2. The following equation can be used to calculate the frequency of the wave according to the observer or listener:
    f L = v + v L v + v S f S
  3. 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
  4. The Doppler Effect can be observed in all types of waves, including ultrasound, light and radiowaves.
  5. Sonography makes use of ultrasound and the Doppler Effect to determine the direction of blood flow.
  6. Light is emitted by stars. Due to the Doppler Effect, the frequency of this light decreases and the starts appear red. This is called a red shift and means that the stars are moving away from the Earth. This means that the Universe is expanding.

End of chapter exercises

  1. Write a definition for each of the following terms.
    1. Doppler Effect
    2. Red-shift
    3. Ultrasound
  2. Explain how the Doppler Effect is used to determine the direction of blood flow in veins.
  3. The hooter of an appoaching taxi has a frequency of 500 Hz. If the taxi is travelling at 30 m · s - 1 and the speed of sound is 300 m · s - 1 , calculate the frequency of sound that you hear when
    1. the taxi is approaching you.
    2. the taxi passed you and is driving away.
  4. A truck approaches you at an unknown speed. The sound of the trucks engine has a frequency of 210 Hz, however you hear a frequency of 220 Hz. The speed of sound is 340 m · s - 1 .
    1. Calculate the speed of the truck.
    2. How will the sound change as the truck passes you? Explain this phenomenon in terms of the wavelength and frequency of the sound.
  5. A police car is driving towards a fleeing suspect at v 35 m. s - 1 , where v is the speed of sound. The frequency of the police car's siren is 400 Hz. The suspect is running away at v 68 . What frequency does the suspect hear?
    1. Why are ultrasound waves used in sonography and not sound waves?
    2. Explain how the Doppler effect is used to determine the direction of flow of blood in veins.

Questions & Answers

want to ask about Rays,,,,i want to know about angle symbols
Freddy Reply
what is free fall
Tshepo Reply
A free falling object is an object that is falling under the sole influence of gravity
Thabiso
what is non conservative force
Karabo
force for which work done in moving an object between two points is independent of the path taken
Londiwe
non conservative forces: are forces whose work done depend on the pathe of an object for example.... the friction depend on the path you took samething with applied force depend on the path you took....but conservative forces such as gravitational force does not depend on the path of an object since
MINENHLE
since it always there... no matter where you at in the field of gravity but the gravitational force is always there hence is doesnt depend on the path
MINENHLE
which i could show you mathematically but i cant send pictures
MINENHLE
wish i mean
MINENHLE
what is oxidizing agent in terms of electons
Yonela Reply
how to calculate a speed in terms of energy principle
Buntle Reply
Wnet=change in kinetic energy
Bukani
Heyy. Why is electroplating important?
Sofia Reply
it prevent metals from rust
Thabang
Thank you
Sofia
improve the surface qualities of objects—such as resistance to abrasion and corrosion, lubricity, reflectivity, electrical conductivity, or appearance
MINENHLE
state work energy theorem in words
thamisanqa
chatelie'rs principle
Kabelo Reply
Le Chartelier's Principle states that when an equilibrium in a closed system is disturbed,the system will re-instate the new equilibrium by favouring the reaction that will oppose the disturbance
Asavuma
that's my classmate 🤘👍😊
Mihlali
Mihlal Zungu 👌👌👌
Zwelenkosi
ewe khetho
Mihlali
its guud to see u here bro👌👌
Zwelenkosi
what is a Reaction Rate
Athandile Reply
Is the change in concentration of reactants or products per unit time
Siphamandla
thanks
Athandile
how will the increase in number of moles affect the reaction
Lonwabo Reply
The increase in number of moles is the same as the increase in concentration. The increase in concentration will result the increase of the rate of the reaction due to more number of moles in that particular vessel. The increase in number of moles = faster the reaction rate
Siphamandla
How do we state the collision theory?
Yiseka Reply
collision theory tells us of how reaction occur and how it is differ in different reactions now u look on how temperature affect reaction, if higher temperature it means the higher the kinetic energy and particles will therefore start to move around much more actively or faster .now the collision w
Lonwabo
now collision will occur
Lonwabo
what factors affect collision theory
Yolisa
Temperature Concentration pressure
Ziyanda
The phenomenon that describes the change in the frequency
Neo Reply
Doppler effect
sinelizwi
is the apparent /percieved change in the frequency of a sound eeither a source or a listener is moving relative to each other
thamisanqa
how is doppler effect detected?
Mellis
like ripple effects of frequency
TYREN
soind wave light detectors
TYREN
sound
TYREN
away is low incoming approaching in loud
TYREN
what formula we use to work out the light
TYREN
does the rate of reaction calculated by reactant equal to product
mudodzwa Reply
formula of heat reaction
Anelisiwe Reply
final energy-initial energy of substances
Chantel
what is the difference between ethene and ethane
Joy Reply
Ethane is a saturated organic molecule while ethene is unsaturated Ethane has 2 carbon atoms and 6 hydrogen atoms, while ethene has 2 Carbons and 4 hydrogens Ethane has single bond between the 2 Carbon atoms while ethene has double bond
Rito
How do you know that the reaction is in acid medium or basic medium
Miss Reply
What formular is used when source and Observer are moving towards to each other
Esihle Reply
put a + on top n - on the bottom
Sanele

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Source:  OpenStax, Siyavula textbooks: grade 12 physical science. OpenStax CNX. Aug 03, 2011 Download for free at http://cnx.org/content/col11244/1.2
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