Recent content by AnniB

Homework Statement What temperature would be required for two protons to collide if quantum mechanical tunneling is neglected? Assume that nuclei having velocities ten times the root mean square (rms) value for the Maxwell-Boltzmann distribution can overcome the Coulomb barrier (which you can...

Homework Statement If the temperature of a star's atmosphere is increasing outward, what type of spectral feature would one expect to find in the star's spectrum at those wavelengths where the opacity is largest? Homework Equations Technically n/a The Attempt at a Solution I'm pretty...

Homework Statement Beginning with the kinetic and potential energies of two objects with masses m1 and m2, show that the total energy of a binary system is given by: E=\frac{1}{2}\muv2 - G\frac{M\mu}{r} Homework Equations The one given K =\frac{1}{2}mv2 U = G\frac{Mm}{r} The...

Okay. I'm using the new equation but for some reason when I try to solve all the variables end up canceling somehow. I'm assuming that the longest and shortest wavelengths correspond to shifts from no = \infty to nf and no = nf + 1 to nf respectively. Is that valid?

I got an answer for nf which was something like .50034, which I know can't be right since it has to be an integer. I used R = 1.097 * 10-7. I don't know how I'd find it for the ion I have especially since I don't even know what it is. My professor also said the only unknowns should be Z and nf.

Homework Statement In a hot star, a multiply ionized atom with a single remaining electron produces a series of spectral lines as described by the Bohr model. The series corresponds to electronic transitions that terminate in the same final state. The longest and shortest wavelengths of the...

Ah, thank you! I don't know why I didn't think to use that formula earlier.

After changing into the frame where both protons are moving towards each other so that there was only rest energy after the collision and so the total momentum should be zero, I have E0 = 2(K/4 + mc2), which I based off of 1/2mv2, but it probably is not good to assume that even applies in this...

Okay, so I've *almost* got the right equation. There's just a extra term of K2/m2c4 that is keeping me from just writing one more step and being done. I don't know if it's because the energy I used isn't right, but I've used 3 different values for it so far and this is the closest I've gotten.

Would it be one that is moving at half the speed of the approaching proton, so in the reference frame they are at rest after the collision? What would that do to the energy, though? I tried calculating it how I thought it should be and still ended up with one term too many.

Homework Statement Let us consider a perfectly inelastic collision between two protons: an incident proton with mass m, kinetic energy K, and momentum magnitude p joins with an originally stationary target proton to form a single product particle of mass M. Due to conservation of momentum...