Calculating λ in a ripple tank lab

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In the ripple tank lab, the goal is to trace nodal lines and plot three points to calculate the wavelength (λ) using the equations |PnS1-PnS1| = (n-1/2) λ and Xn/L = [(n-1/2) λ]/d. There is a discussion on why the equation Xn/L = [(n-1/2) λ]/d may be less accurate than |PnS1-PnS1| = (n-1/2) λ, with a suggestion that it relates to the value of (n-1/2)λ/d not equating to 1. Clarification on the points to be plotted is sought, indicating a need for precise definitions of the variables involved. Overall, the conversation emphasizes understanding the methodology for calculating λ and addressing potential discrepancies in results.
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Homework Statement


This isn't really an actual homework question but it is regarding a lab so I think it belongs here. In the ripple tank lab I have to trace the nodal lines, plot 3 points in the middle of the 2 lines (one closest to the two sources, one in the middle and one the farthest). From there I use |PnS1-PnS1| = (n-1/2) λ and Xn/L = [(n-1/2) λ]/d to find λ and then compare the values I get with my partner's and explain why some are outliers.

Homework Equations


Why is Xn/L = [(n-1/2) λ]/d not as good as |PnS1-PnS1| = (n-1/2) λ when calculating λ?

The Attempt at a Solution


I think it has something to do with (n-1/2)λ/d not quite equalling 1 but I still don't understand this.

Any and all help would be appreciated!
 
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queenmurr said:
one closest to the two sources, one in the middle and one the farthest
Do you mean one closest to one source, one closest to the other source, and one in the middle? If not, please explain more.
queenmurr said:
PnS1-PnS1|
queenmurr said:
Xn/L
What do all those variables mean?
 
Never mind I figured it out, thanks for commenting though! :)
 
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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