Recent content by steve233

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    Calculating Energy in Helium Ion Ground State via Bohr Model

    Homework Statement Consider a helium ion with 2 neutrons and 2 protons in the nucleus and 1 bound electron. Use the Bohr model with corrections for charge and mass of the nucleus. Calculate the energy in the ground state. Homework Equations m*v*r = n*(h/2*pi) The Attempt at a...
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    Optics; Deriving the index of refraction from Snell's law

    Ah yes... more evidence that I need to brush up on my trig :) I'll give this a shot and post the update soon. Thanks! Edit: Success! Thanks for all of the help TSny and tiny-tim. I'm a bit new to these forums, is there some way to "upvote"?
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    Optics; Deriving the index of refraction from Snell's law

    Ah ok, very helpful. Thanks. n_{1} is indeed the refractive index of air, I should have mentioned that. So the equations become: (1) \sqrt{3} / 2 = n * sin(\theta_{2}) (2) n * sin(\theta_{3}) = sin(\theta) (3) \theta_{2} + \theta_{3} = 60^{\circ} \theta_{3} = 60^{\circ}...
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    Optics; Deriving the index of refraction from Snell's law

    Hmm... So here is another attempt: 1st refraction: n_{1} * sin(\theta_{1}) = n * sin(\theta_{2}) 2nd refraction: n * sin(\theta_{3}) = n_{1} * sin(\theta) Here I assume that the refractive index is the same when the light is outside of the prism and inside of the prism. I...
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    Optics; Deriving the index of refraction from Snell's law

    Homework Statement There is a diagram in the problem statement so here is a link to the image of the problem: http://imgur.com/KDrRsyO Homework Equations Snell's Law: n_{1} * sin(\theta_{1}) = n_{2} * sin(\theta_{2}) The Attempt at a Solution My attempt using Snell's law...
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    Linear degree of freedom - Equipartition theorem

    Homework Statement Consider a classical 'degree of freedom' that is linear rather than quadratic: E = c|q| for some constant c. Derive the equipartition theorem using this energy and show that the average energy is Ebar = kT. Homework Equations Z = \sum e^{-\beta E(q)} = \sum...
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    Thermodynamics Question - Should be pretty easy

    Homework Statement I'm trying to understand this concept of pressures and volumes changing and how it effects the temperature. Is my understanding correct so far? If pressure is changing but volume is constant is Final Temperature = Initial Temperature + (something) ? If this is...
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    Intro To Electrodynamics, Griffiths #1.9, me TRANSFORMATION LAW QUESTION

    Right, I only suggested it because they have step by step solutions and I remember it being helpful in solving problems.
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    Thermaldynamics - Adiabatic system W = delta(U)

    Homework Statement After integrating the pressure formula of an adiabatic system, I have to show how this is equal to the change in energy. I know that my integral is correct (it was very straight forward), but I'm having trouble showing that it is equal to \DeltaU. Homework Equations...
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    Intro To Electrodynamics, Griffiths #1.9, me TRANSFORMATION LAW QUESTION

    There's a solution manual online. I used it when I took this course to practise for the final and midterm (since we didn't have questions assigned from the textbook). You might want to consider downloading it. Try google-ing the name of the textbook and solution manual.
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    Partial derivative with fixed variable

    Ah, I see the issue. What if g can vary? What then?
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    Partial derivative with fixed variable

    Okay so basically I want to get rid of the term that is constant by using other variables? Lets say for example instead of z being the constant in the question (the subscript) I choose g now to be the subscript. How would this change the partial derivative (Assuming g and z can both vary...
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    Recurrence relation oddball one

    Usually for these you start with a small n (or your base case) and start to look for a pattern. T(1) = x T(2) = x + something T(3) = x + T(2) . . . T(n) = The summation of some pattern you found Give that a try instead of looking for a pattern at step n.
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    Statistical Mechanics: Partial derivative with fixed variable

    1. Homework Statement Given y = xz5 and x = zg find : (∂y / ∂x)z (∂y / ∂x)g 2. Homework Equations 3. The Attempt at a Solution I understand the concept of a partial derivative, but I've never seen one such that there is a variable held fixed, or one where ∂x is not changing...
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    Partial derivative with fixed variable

    I'm not looking for a probability, so how would the tree diagram help?
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