Recent content by ZeroScope

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    Proving <t**n> = n!τ**n using Mathematical Induction

    The ’moments’ <t**n> of the distribution p(t) are defined as: <t**n> = integral from (0, infinity) p(t).t**n dt (1) where ** denotes to the power of Show (analytically) that <t**n> = n!τ**n (2) Hint: Use integration by parts to show that <t**n> = nτ<t**n-1> (3)...
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    Graduate Why Can Electrons Tunnel Through Finite Barriers but Not Infinite Wells?

    When considering an electron in a potential well, why is it possible for the electron to tunnel through a barrier of finite potential and not an infinite well. I can see the equations that disprove it (textbook) but i can't see any REASONS persay. Thanks.
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    Do Perturbations in a Quantum Well's Bottom Shape Affect Particle Eigenvalues?

    d) Show that the eigenvalues of a particle in a well aren’t affected by the structure of the bottom of the well by applying perturbation theory. As an example, investigate the case where the bottom of the well is deeper in the middle (x = a2) than at the sides (x = 0 and x= a). To do this:- i...
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    Solving Temperature Profile in Long Thin Plate

    Its just accured to me that as the question states that "the remaining short edge is heated in such a way that a temperature profile, falling off linearly on either side of the centre of the edge, is produced. Does this just mean the the profile is : T(x,0) = kx? (proportional to x)
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    Solving Temperature Profile in Long Thin Plate

    Determine the temperature profile in a long thin plate 30 units wide and kept at zero temperature at three sides. The remaining short edge is heated in such a way that a temperature profile falling off, linearly on either side of the centre of the edge, is produced. To establish the...
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    Graduate How Do I Determine the Fourier Transform of f(x) = sin(x)?

    What I am having trouble with is, is solving the integral. I end up with an equation with a lot of fractions and exponentials.
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    Graduate How Do I Determine the Fourier Transform of f(x) = sin(x)?

    Determine the Fourier transform of f(x) = sin (x), pi/2 > x > -pi/2 ; 0 otherwise To do this, i) express f(x) as a complex exponential, ii) write down the Fourier integral, iii) solve the integral, and iv) replace the complex exponentials by simple trigonometric functions. Attempt at...
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    Understanding Op-Amp Integrator: Why the Ramping Effect?

    Sorry i realized i didnt take the fact that it is time dependent into my assumption. In this case I am even more confused heh.
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    Understanding Op-Amp Integrator: Why the Ramping Effect?

    I just realized i neglected the time that this takes to happen. As its due to a certain time interval I am not sure whether what i originally assumed is correct. Now I am confused as to where time fits in with all this.
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    Understanding Op-Amp Integrator: Why the Ramping Effect?

    I'm having trouble understanding how this actually works. I understand that it integrates the input voltage and that the output voltage is the same as the voltage passing over the capacitor in the circuit. What i don't understand is why this causes the ramping effect? I'm thinking it may have...
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    Undergrad Calculating Heat & Work Done in Ice to Vapour System

    sorry just realized that the last part of the question asks for the overall change in internal energy so I am not sure whether my approach holds
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    Undergrad Calculating Heat & Work Done in Ice to Vapour System

    I realize that there has been a post recently concerning this sort of thing but i think it went a bit off topic for me to follow. :) The question is Consider a bowl containing 1 mol of ice at a temperature of -10C and atmospheric pressure. The sample is heated very slowly to 115C. Split the...
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    What kind of dissipative work is done on the sand?

    sorry about this I am struggling a bit. for part (a) all i need to work it out is the mgh equation right? but, in relation to part (b), then you mentioned \Delta Q = W1 = \frac{1}{2}mv^2 and also that this was equal to \Delta Q = \Delta U so arent they the same value? sorry I am not...
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    What kind of dissipative work is done on the sand?

    Ok thank for the help! If Q = W for part (a) then for part (b) using the equation U = W + Q does this mean that the change in internal energy of the sand is zero?