Recent content by Quelsita

  1. Q

    Understanding Wave-functions and Normalization?

    Question: 1. An electron is freely moving in a one‐dimensional coordinate, x . At some point t in time, its (complex‐valued) wavefunction is ψ (x,t) = Ceiωte−(x / a)2 . a. Why must \int \left|\Psi|2=1? b. From the so‐called normalization requirement given in part a., determine the...
  2. Q

    Van der Waals gas - free energy

    ok, is the inequality used because the process is not reversible? can L=pdV be applied somewhere? also, I found in our text that deltaF=(dF/dV) dV and it states that this was found using: L< F(A)-F(B)= -deltaF...how is this so?
  3. Q

    Van der Waals gas - free energy

    For this problem, I'm really jst trying to figure out everything that is going on and then I can simply follow through with the derivatives once I know what I'm working with. Q: For the van der Waals gas, introduce the free energy as F = U – TS and verify that its derivatives over V and T...
  4. Q

    Solve Complex Math Problem: Adding/Subtracting Phasors

    Ok, I'm trying to wrap my head around phasor notation. I think part a is correct, not sure of the difference for subtraction and converting phasor to polar notation. Any help is appreciated! Problem: For A=5<36.9 and B=5<53.1 a)Calculate the sum A+B b)Calculate the difference A-B...
  5. Q

    Thermal Expansion of Gas - am I on the right track?

    Honestly, I'm kinda stuck here. It feels to me like with the information I have that I'm just going in circles using one equation to solve another one. I don't think this question should even be this confusing...
  6. Q

    Thermal Expansion of Gas - am I on the right track?

    Well, for an ideal gas PV=nRT. And since P is constant, can I say that: P0 = (nRT0)/V0 is the same as P= (nRT0)/V0 so , P= [(273.15K)(nR)]/V0
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    Thermal Expansion of Gas - am I on the right track?

    Question: One mole of an ideal gas with cv=2.5R, initially at 0.0degC, is heated at constant pressure. How much heat is needed to double its volume? Solution: Know: n=1 T0=273.15K cv=2.5R \DeltaP=0 Vf=2V0 H=U +PV and thus, Q= \DeltaH Q=ncv\DeltaT We can rearrange to find...
  8. Q

    Calculate the electrostatic energy of a homogeneously charged sphere

    QUESTION: Calculate the electrostatic energy of a homogeneously charged sphere of Volume V and compare the result with 2 times the electrostatic energy of a homogeneously charged sphere of V/2. SOLUTION: OK, so we have a charge Q which is uniformly distributed within a sphere of...
  9. Q

    Electron Energy in Compton Collision

    Question: You want to give an electron an evergy of 25kev in a Compton Collision. What is the minimum initial photon energy you need? Equations: \Delta\lambda= h/mec(1-cos(\theta)) E=mc2 E=hv=hc/\lambda I'm not really sure where to start from here. I know the answer is 138kev but I am...
  10. Q

    Waves, Energy, Blackbodies and Modes

    That makes sense but "eigenstate" threw me off a bit. So, if an eigenvalue is a scalar, then that just means an eigenstate for, say a photon, would be every possible path it can take? This is why a mode is a degree of freedom, because it describes the possible configurations? So, if you...
  11. Q

    Free Fall: Heavier Object Hits Ground First?

    Wouldn't they reach the ground at equal rates? Generally, free fall implies that no other acclerations are acting other than gravity (objects don't encounter a significant amount of air resistace). If we considered drag, it would depend on the shape (surface area) of the object, and since...
  12. Q

    Waves, Energy, Blackbodies and Modes

    I am going over some notes and am trying to fit some pieces together. For some reason I keep confusing myself as to what exactly a "mode" is. Is a mode a wave? or a frequency? Also, how does a mode relate to the degrees of freedom for a particle in a system? Thanks!
  13. Q

    Percent Length Contraction (check solution)

    Yep. That's why I thought it was off because it's such a small number that you'll have 1 under the radical... Or is the percent contraction supposed to be very small since the aircraft, compared to the speed of light, is going extremely slow?
  14. Q

    Percent Length Contraction (check solution)

    Question: What is the percent length contraction of an aircraft traveling at Mach 2? So, we know that Mach 2= 680.58 m/s and that L'=L\sqrt{1-(v/c)^2} If you divide over the L to get: L'/L=\sqrt{1-(v/c)^2}=% length contraction Plug-n-chug from here to get...
  15. Q

    Calculating Time Dilation: Apollo's Record-Breaking Speed and Earth's Clocks

    Yeah, I actually converted the velocity to m/s I just skipped the conversion work.
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