Homework Statement
Consider a helium ion with 2 neutrons and 2 protons in the nucleus and 1 bound electron.
Use the Bohr model with corrections for charge and mass of the nucleus.
Calculate the energy in the ground state.
Homework Equations
m*v*r = n*(h/2*pi)
The Attempt at a...
Ah yes... more evidence that I need to brush up on my trig :)
I'll give this a shot and post the update soon.
Thanks!
Edit: Success! Thanks for all of the help TSny and tiny-tim.
I'm a bit new to these forums, is there some way to "upvote"?
Ah ok, very helpful. Thanks.
n_{1} is indeed the refractive index of air, I should have mentioned that.
So the equations become:
(1) \sqrt{3} / 2 = n * sin(\theta_{2})
(2) n * sin(\theta_{3}) = sin(\theta)
(3) \theta_{2} + \theta_{3} = 60^{\circ}
\theta_{3} = 60^{\circ}...
Hmm... So here is another attempt:
1st refraction:
n_{1} * sin(\theta_{1}) = n * sin(\theta_{2})
2nd refraction:
n * sin(\theta_{3}) = n_{1} * sin(\theta)
Here I assume that the refractive index is the same when the light is outside of the prism and inside of the prism.
I...
Homework Statement
There is a diagram in the problem statement so here is a link to the image of the problem:
http://imgur.com/KDrRsyO
Homework Equations
Snell's Law:
n_{1} * sin(\theta_{1}) = n_{2} * sin(\theta_{2})
The Attempt at a Solution
My attempt using Snell's law...
Homework Statement
Consider a classical 'degree of freedom' that is linear rather than quadratic: E = c|q| for some constant c. Derive the equipartition theorem using this energy and show that the average energy is Ebar = kT.
Homework Equations
Z = \sum e^{-\beta E(q)} = \sum...
Homework Statement
I'm trying to understand this concept of pressures and volumes changing and how it effects the temperature. Is my understanding correct so far?
If pressure is changing but volume is constant is
Final Temperature = Initial Temperature + (something) ?
If this is...
Homework Statement
After integrating the pressure formula of an adiabatic system, I have to show how this is equal to the change in energy. I know that my integral is correct (it was very straight forward), but I'm having trouble showing that it is equal to \DeltaU.
Homework Equations...
There's a solution manual online.
I used it when I took this course to practise for the final and midterm (since we didn't have questions assigned from the textbook). You might want to consider downloading it.
Try google-ing the name of the textbook and solution manual.
Okay so basically I want to get rid of the term that is constant by using other variables?
Lets say for example instead of z being the constant in the question (the subscript) I choose g now to be the subscript. How would this change the partial derivative (Assuming g and z can both vary...
Usually for these you start with a small n (or your base case) and start to look for a pattern.
T(1) = x
T(2) = x + something
T(3) = x + T(2)
.
.
.
T(n) = The summation of some pattern you found
Give that a try instead of looking for a pattern at step n.
1. Homework Statement
Given y = xz5 and x = zg find :
(∂y / ∂x)z
(∂y / ∂x)g
2. Homework Equations
3. The Attempt at a Solution
I understand the concept of a partial derivative, but I've never seen one such that there is a variable held fixed, or one where ∂x is not changing...