Wave intensity at different points

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The discussion revolves around the calculation of wave intensity based on given amplitudes. It emphasizes that intensity is proportional to the square of the amplitude, applicable to both water and electromagnetic waves. The introduction of the variable 'r' is questioned, as the amplitudes are already provided in the problem. The focus is on comparing personal calculations with a model answer. Understanding the relationship between amplitude and intensity is crucial for solving such problems correctly.
desmond iking
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Homework Statement



here's the question , ans any my hand written working. which one is correct ? my ans or the model answer?

Homework Equations





The Attempt at a Solution

 

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Theirs is.
Why are you introducing r? They are giving you the amplitudes already, you don't have to calculate them. And intensity is proportional to amplitude squared. This is true for water waves and it's true for electromagnetic waves.
 
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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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