Understanding the Relationship between Energy, Frequency, and Wavelength

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The discussion focuses on the relationships between energy, frequency, and wavelength in physics. The user attempts to derive formulas related to these concepts but expresses confusion over their algebraic manipulations. Key corrections include the clarification that frequency is not simply the inverse of wavelength and the proper application of the universal wave equation. The user is encouraged to review their algebraic steps and the foundational equations governing these relationships. Understanding these principles is crucial for accurate calculations in wave mechanics.
semc
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Hi guys, let's see f=1/λ right? E = hf so f=h/E ==> λ =E/h?? E=hc/λ ==> λ=E/hc? Which part did i get it mixed up?
 
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semc said:
Hi guys, let's see f=1/λ right? E = hf so f=h/E ==> λ =E/h?? E=hc/λ ==> λ=E/hc? Which part did i get it mixed up?
For starters, your algebra: "E = hf so f=h/E " and "E=hc/λ ==> λ=E/hc? ". Also look up the universal wave equation: f \ne 1/\lambda

AM
 
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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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