Is this mastering physics problem incorrect?

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The discussion centers on a mastering physics problem involving wave interference from two sources. Participants analyze a table that requires calculating distances and determining whether the interference at specific points (P, Q, R) is constructive or destructive. A key issue raised is the absence of a 3.5λ value, leading to confusion about the phase relationship between the two wave sources. It is concluded that adjusting the value from 3.5λ to 3λ resolves the inconsistency. The conversation emphasizes the importance of understanding wave phase in interference problems.
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Homework Statement

[/B]
This is the Diagram-The figure shows the circular wave fronts emitted by two wave sources.
https://session.masteringphysics.com/problemAsset/1383558/3/21.EX26.jpg
part B is the one with trouble it asks "Make a table with rows labeled P, Q, and R and columns labeled r1, r2, Δr, and C/D. Fill in the table for points P, Q, and R, giving the distances as multiples of λ and indicating, with a C or a D, whether the interference at that point is constructive or destructive."
The given wave lengths to fill in the charts blank spaces are (1/2)λ,,,λ,,,(3/2)λ,,,2λ,,,(5/2)λ,,,(3)λ and then c for constructive and D for destructive for the last column.

Homework Equations

abs(r1-r2)=Δr and for C/D and Δr that is a natural number is C all decimal numbers are Destructive //sorry don't know how to put that into more mathematical format//
3. The Attempt at a Solution [/B]
the chart should look like- Unfortunately their is no 3.5 fraction 7/2 is missing^
r1 r2 Δr D/C
P 2λ 3.5λ 1.5λ D
Q 3λ 2λ 1λ C
R 2.5λ 3.5λ 1λ C
 
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Hello and welcome to PF!

To my eyes, the first wavefront surrounding source 1 is a full wavelength from source 1. But the first wavefront surrounding source 2 is not a full wavelength from source 2. Could it be that the two sources are not in phase?
 
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TSny said:
Hello and welcome to PF!

To my eyes, the first wavefront surrounding source 1 is a full wavelength from source 1. But the first wavefront surrounding source 2 is not a full wavelength from source 2. Could it be that the two sources are not in phase?
Yes your right so instead of 3.5 it would be 3 making it work 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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