Recent content by atlantic

I though α=1 because C→∞ (C=Q/dT, where dT→0)? Anyways, I'm thinking that these equations are not good to use when the process is isothermal, as the equations for the work, heat and entropy becomes of the type: ∞ muliplied with 0. Do you think this is a good conclusion?

Or does these equations not apply for isothermal processes?

Homework Statement For an ideal gas, undergoing a quasistatic process, the equations below are correct. Evaluate them given that we have an isothermal process Homework Equations PV^\alpha=K where K is a constant and \alpha=C-C_P/C-C_V W = \frac{K}{\alpha -1}...

We often just say that the eigenvalues of \hat{L}^2 are \hbar^2l(l+1), but does this apply to all kinds of potentials or only the centrosymetrical ones, like the Coulomb-potential? Why?

Free particle --> bound particle Homework Statement A free neutron meets a finite square well of depth V_{0}, and width 2a centered around origo. However, the probability that the neutron emits a photon when it meets the potential well, and thus decreasing its energy is proportional to...

Homework Statement I have the integral: \int^{\infty}_{-\infty}ie^{-(x-x_{0})^{2}}sin(vx) dx where x_0 and v are real constants. The sine function is odd. But what about the exponential? If it's even, then the integral is zero, but the exponential is not centred around origo. Will the...

No, I don't know Laplace:rolleyes:

An LC-circuit has L = 64mH, C = 121nF. At the time t=0, the charge on the condensator is 10μC and the current in the inductor is 0.3A. What is the current in the inductor as a function of time? With:q = Q_mcos(\omega_0t+\phi) we get that: I = Q_m\omega_0cos(\omega_0t+\phi + \pi/2) (because I...

Bijection is not covered in my course:frown: Is there not any other way to make the proof?

But how do I prove this using the given information?

Information: The vector-space \mathcal{F}([0,\pi],\mathbb{R}) consists of all real functions on [0,\pi]. We let W be its subspace with the basis \mathcal{B} = {1,cost,cos(2t),cos(3t),...,cos(7t)}. T: W \rightarrow \mathbb{R} ^8 is the transformation where: T(h) = (h(t_1), h(t_2),...,h(t_8))...

Homework Statement Three particles of mass m are placed at A=(-a, -a), B=(a, -a) and C=(0, a) Find the moment of inertia for an axis along the z-axis through the origin Homework Equations I = m((rA)2 + (rB)2 + (rC)2) The Attempt at a Solution I calculate that: (rA)2 =...

So I should conclude that the force is not conservative?

Can you explain how you "convert v to x"? :smile:

Homework Statement An atom is moving in a one-dimensional system (x on the horisontal axis): A force, F is acting in the range -2m< x < 2m and can be written as: F = -Cv where C is a constant, and v is the velocity of the atom. Is the force, F conservative? Homework Equations...