Standing wave interference pattern problem

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In a standing wave interference pattern, a wavelength is defined as the distance between consecutive crests or troughs. For complete destructive interference to occur, the wavelengths and amplitudes of the two waves must be identical. Additionally, the troughs of one wave must align with the crests of the other, meaning they are exactly out of phase. This condition requires that the waves share the same frequency content and power spectrum. Understanding these principles is crucial for analyzing wave interactions in various physical contexts.
DarkVoid
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In a standing wave interference pattern, what distance constitutes a wavelength?

For complete destructive interference, what must be true of the wavelengths and amplitudes of the 2 waves?

Thx
 
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Waves?

In a standing wave interference pattern, what distance constitutes a wavelength?

For complete destructive interference, what must be true of the wavelengths and amplitudes of the 2 waves?
 
DarkVoid said:
In a standing wave interference pattern, what distance constitutes a wavelength?

For complete destructive interference, what must be true of the wavelengths and amplitudes of the 2 waves?
Wavelength - Disatance from crest to an adjacent crest or trough to an adjacent trough. (They will be the same length)
For complete destructive interference the wavelengths and amplitudes must be the same and the troughs of one wave must line up with the the crests of the other (and vice versa).
 
For complete destructive interference the waves must have exactly the same frequency content and power spectrum (amplitudes of all the different frequency components) and the waves must be exactly out of phase.
 
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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