If I have a strong Magnetic field B0 in the z direction then any atoms inside will have their magnetic dipoles align in the z direction, but will rotate in the x-y plane at a larmor frequency ω. Because the dipoles are rotating in the x-y plane with a frequency ω, you will need to apply a not as...
In an adiabatic process dQ = 0 so that dU = dW.
So then you use,
C_{v} = ( \frac{\Delta U}{\Delta T})_{v}
to make
W = - n C_{v} (T_{f} - T_{i})
Is that right?
Actually I just did the problem over again with the new integration limits and although my <cos\theta> is now correct, I still found a normalization constant of 2.
Thank you.
Is there an intuitive reason why normalization is unnecessary in this case? Should I continue to attempt normalization as a first step in problems like these?
Given the number of molecules hitting unit area of a surface per second with speeds between v and v +dv and angles between \theta and d\theta to the normal is
\frac{1}{2} v n f(v)dv sin \theta cos \theta d\theta
show that the average value of cos \theta for these molecules is \frac{2}{3}.
I...