Recent content by physconomic

I know quantum correlation means that the particles are entangled and so the state of each cannot be determined independently of the other. However I'm not sure how it applies to this particular scenario - If there are more cars on the M25 I suppose we could say technically there are less on...

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I'm not sure where to start on this as I've only used Fraunhofer when it involves slits, not mirrors. Would I say it was a single slit problem so that D = width of slit (but this doesn't make sense to me because the light is reflecting not transmitting? Or an infinitely narrow slit hence nothing...

Consider instead a thermally insulated container of volume V with a small hole of area A, containing a gas with molecular mass m. At time t = 0, the density is ##n_0## and temperature is ##T_0##. As gas effuses out through a small hole, both density and temperature inside the container will...

Thanks for your reply. Can I ask how I would do this? I meant sum over k.

I've tried to show b) by using the sine Fourier series on ##[0,2a]##, to get ##g_k = \Sigma_{n=0}^{2a} \sqrt\frac{2}{a} Sin(q_k x)## Therefore ##\sqrt\frac{2}{a} = \frac{1}{a} \int_0^{2a} Sin(q_kx)g_k dx## These are equal therefore it is an orthonomal basis. I'm not sure if this is correct so...

Isn't that what the proportions say? ##700 H_2## to 1 ##HD## atom - so there is more ##H_2##?

Okay, so then do I evaluate this equation for both ##H_2## and HD each? I don't understand what I would put for ##n_0## and n for each one.

Wouldn't it just be ##\bar{v} = \sqrt{\frac{8K_B T}{\pi M}}## as it obeys the Maxwell-Boltzmann distribution?

Hi sorry about that I've edited the original post because I accidentally capitalised a few letters. From Graham's law, ##\frac{\phi_1}{\phi_2} = \sqrt{\frac{M_2}{M_1}}## And then ##n = n_0 e^{-\frac{At}{4}}\bar{v}## for each gas?

So I know Dalton's law as stated above which I think is applicable in this question. Then I know the effusion rate is ##\frac{1}{4} n \bar{v}##, and from this we can make a differential for the time evolution of the number density of the gas in the container which is: ##\frac{dn}{dt} =...

Hi sorry yes it's just a standard parallel plate capacitor with a linear dielectric material filling the whole gap. Thank you though.

Not sure how to set this question up or how to get to the second half

If you had legendre polynomials defined in ##L^2([-1,1])##, with ##||Pn_2||^2=\frac{2}{2n+1}##, show that for any polynomial with p a set of ##L^2([-1,1])##, with degree less than n, we have the inner product of ##P_n## and p = 0. Find the polynomials ##P_0,... P_4## Tried to use the integral...

Draw graphs showing how interaction energy depends upon the relative orientation of two dipoles if (i) p1 is parallel to r, (ii) p1 is perpendicular to r. I've done the first part and found the interaction energy as UInt = 1/(4*pi*epsilon0*r^3)*[p1.p2-3(p1.r^)(p2.r^)] which I know is correct...