How Do You Calculate Wavelength in Doppler Effect Scenarios?

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To calculate the wavelength in Doppler Effect scenarios, one must first determine the observed frequency, which has been calculated as 747.29 Hz for the given situation. The wavelength can be found using the formula wavelength = speed of sound / observed frequency. Since the source is stationary, the wavelength remains constant despite the observer's movement. The speed of sound is typically around 340 m/s, making the correct calculation for wavelength approximately 0.455 meters. Understanding that the stationary source keeps the wavelength unchanged is crucial for solving these problems.
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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!
 
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What are the situations? With the information given we can't do anything.
 
Shukie said:
What are the situations? With the information given we can't do anything.

my bad, no wonder no one was replying :P
 
Since the source is stationary, the wavelength doesn't change.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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