Recent content by aurora14421

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    How Do You Solve a Second Order Linear Differential Equation?

    Yeah, it's just the differential equation for SHM so that is the solution.
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    What is the Efficiency of a Stirling Engine Between Two Heat Baths?

    Thank you very much for all your help. Got it now.
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    What is the Efficiency of a Stirling Engine Between Two Heat Baths?

    I had, Q1, the heat absorbed, is: R T_2 ln(V_2/V_1) + 1.5R(T_2-T_1) And Q2, the heat lost, is: R T_1 ln(V_2/V_1) + 1.5R(T_1-T_2)
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    What is the Efficiency of a Stirling Engine Between Two Heat Baths?

    Homework Statement Derive an expression for the effiency of the cycle (of a Stirling Engine) working between two heat baths at temperatures T1 and T2 with volumes in the ratio V2/V1. Assume the working substance is a monatomic ideal gas. Homework Equations Work done=heat absorbed from...
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    Comparing Bragg Reflections of Cesium, Cesium Chloride and Cesium Iodide

    The structure factor is proportional to the number of electrons in the atom (or the atomic number if the atom is uncharged).
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    Partition function for electrons/holes

    In our notes somewhere (section 11/12/13), you can see that he uses the equation: Z(1) = (V/λ^3), where V is the volume. I'm not sure where it comes from, but I think we just need to learn it.
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    Statistic mechanics - particles with energy 0

    Yeah, thanks for the help. I got it too.
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    Solving 4-Vectors and Wave Amplitudes in Different Frames

    I think we do this question by showing that K transforms by a Lorentz transformation (since the definition of a 4 vector is a 4 component vector that transforms under Lorentz transformations). When you do this, you'll see K'=(v'/c, 1/lambda',0,0), once you substitute in what you got for v' and...
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    Statistic mechanics - particles with energy 0

    I'm stuck on the same question. I have the expression for the probabilities but I can't get the final expression they have. Any chance of another hint? I've been staring at this for a while and getting nowhere.
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    Statistical mechanics- Stirling's Approximation and Particle Configurations

    Sorry, I mistyped the question. It's fixed now. So there are only M possible sites on the surface and aV states when it's not on the surface.
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    Statistical mechanics- Stirling's Approximation and Particle Configurations

    Homework Statement N weakly interacting distinguishable particles are in a box of volume V. A particle can lie on one of the M possible locations on the surface of the box and the number of states available to each particle not on the surface (in the gas phase) is aV, for some constant a. 1...
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    Electric Field of a Conducting Slab

    Homework Statement A charge Q is placed at height b abouve a plane horizontal conducting slab. Write down the electric field, E(r), at a general point r above the slab (taking the point r=0 to be the point on the slab directly beneath the charge), and show that it satisfies the...
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    How much mass does an atom lose when it emits a photon?

    Ok, I see. So the atom recoils with the opposite momentum of the photon (-hf/c), since momentum is conserved. Thanks, I was just thinking about energy conservation.
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    How much mass does an atom lose when it emits a photon?

    Homework Statement An atom initially at rest emits a photon with frequency f. Explain why the mass of the atom decreases, and by an amount greater than hf/c^2. Homework Equations E= mc^2 E = hfThe Attempt at a Solution So I know that the atom must lose mass when the photon is emitted...
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    Conditions for quantised or continuous energies

    So it would have quantised energy inside the well (since it's confined) and continuous energies outside the well?
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