How Do You Calculate Wavelength in Doppler Effect Scenarios?

So the wavelength in both situations would be the same as the wavelength of the emitted sound, which can be calculated using the formula λ = v/f, where v is the speed of sound (340 m/s) and f is the characteristic frequency (640 Hz). Therefore, the wavelength in both situations would be 0.53125 m. In summary, the source emits sound with a characteristic frequency of 640 Hz and the wavelength is 0.53125 m. For both situations, the observer is moving towards the source at a speed of 57 m/s and the observed frequency would be 747.29 Hz. However, the wavelength remains the same at 0.53125 m.
  • #1
lha08
164
0

Homework Statement


source emits sound with a characteristic frequency of 640 Hz. Calculate the observed frequency and the wavelength between source and observer in each of the following situations.
a) The observer approaches a stationary source at 57 m/s
b) Both the source and observer move towards each other at 28.5 m/s

Homework Equations


The Attempt at a Solution


I already managed to calculate for the frequency: 747.29 Hz but can anyone explain to me how to find the wavelength because what i thought was that i could simply do 340/747.29 which is wrong..Help please!
 
Last edited:
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  • #2
What are the situations? With the information given we can't do anything.
 
  • #3
Shukie said:
What are the situations? With the information given we can't do anything.

my bad, no wonder no one was replying :P
 
  • #4
Since the source is stationary, the wavelength doesn't change.
 

FAQ: How Do You Calculate Wavelength in Doppler Effect Scenarios?

What is the Doppler Effect frequency?

The Doppler Effect frequency is the change in frequency of a wave due to the relative motion between the source of the wave and the observer. It is commonly observed in sound waves, where the pitch of a sound appears higher as the source approaches the observer and lower as the source moves away.

How does the Doppler Effect frequency affect different types of waves?

The Doppler Effect frequency affects all types of waves, including sound, light, and water waves. Any wave that has a frequency can experience the Doppler Effect when there is relative motion between the source and the observer.

What is the difference between the Doppler Effect frequency and Doppler shift?

The Doppler Effect frequency refers specifically to the change in frequency of a wave due to relative motion. Doppler shift, on the other hand, refers to the change in wavelength, frequency, or energy of a wave due to the relative motion of the source and observer. The Doppler Effect frequency is a type of Doppler shift.

Can the Doppler Effect frequency be applied to objects other than waves?

Yes, the Doppler Effect frequency can also be applied to objects that emit particles, such as atoms and molecules. The frequency of these particles can change depending on the relative motion between the source and observer, leading to a Doppler Effect.

How is the Doppler Effect frequency used in real-life applications?

The Doppler Effect frequency is used in various real-life applications, including radar and sonar systems, weather forecasting, and medical imaging. It is also used in astronomy to determine the movement and distance of celestial objects, and in the study of the universe's expansion through the redshift of light from distant galaxies.

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