How Medium & Temperature Affect Sound Waves: Frequency, Wavelength & Speed

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Replacing air with water as the medium for sound waves increases the speed of the wave due to water's higher density. In this case, either frequency or wavelength must increase, but the frequency remains constant when transitioning between media; thus, wavelength increases. Changing the temperature of air affects the speed of sound, which is calculated using the formula that incorporates temperature. As temperature rises, the speed increases, leading to a change in wavelength while frequency remains constant. Understanding these relationships is crucial for analyzing sound wave behavior in different conditions.
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Homework Statement



(1) A sound wave is traveling through air medium, if the medium is replaced by water, how that will affect the wavelength, frequency and speed of the wave ?

(2) If the temperature of the air changed, how that will affect the wavelength, frequency and speed of the wave ?


Homework Equations



Velocity = Frequency × Wavelength

Velocity of sound wave in air = 331.5 m/s + 0.6 T


The Attempt at a Solution



(1) If the medium is replaced by water, which has greater density, the velocity increases. From the equation: Velocity = Frequency × Wavelength

Frequency or wavelength or maybe both frequency and wavelength must be increased, Could you tell me which one ?

(2) If temperature changed, velocity will be changed, so that frequency or wavelength must be changed. Could you tell me which one of them will change ?
 
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well, you know that the speed of sound in a specific medium should be (roughly speaking) a constant ..

you tell me, does it matter to know whether the frequecy is the one which changed or the wavelength?
 
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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