Wave constructive destructive interference

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The discussion revolves around the interference of two sets of water waves from sources A and B, with individual wave crests reaching 5 mm above the undisturbed water level. The participant initially guesses that two troughs would lead to a displacement of -10 mm at point "x." Other contributors confirm that this reasoning is correct, supporting the idea of constructive and destructive interference. The conversation emphasizes understanding wave interactions and their effects on displacement. Overall, the focus is on accurately determining the resultant displacement at the specified point due to wave interference.
Tarnjot Bains

Homework Statement


The figure shows two sets of water waves, created by two sources labeled "A" and "B." The solid half-circles represent wave crests from A, and the dashed half-circles represent wave crests from B. Suppose that individual wave crests from either source A or source B alone are 5 mm above the level of the undisturbed water. Then the displacement of the water [above or below the level of the undisturbed water] at the point marked "x" [with the arrow pointing toward it] is

1. +5 mm.
2. -5 mm.
3. +10 mm.
4. 0 mm.
5. -10 mm.
ewe8qm

img url: https://ibb.co/ewe8qm

Homework Equations


None

The Attempt at a Solution


Assuming that the two waves interfere at the point I guessed two troughs would interfere and I'd get a displacement of -10, but I'm not quite sure if this is what would occur.
 
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Welcome to PF!
I think your reasoning is correct.
 
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Likes Tarnjot Bains
TSny said:
Welcome to PF!
I think your reasoning is correct.
Thank you!
 
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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