This is a simplified version which we were given because the alpha particle is non relativistic so beta << 1 and it also uses reduced mass mu and also E = 1/2 m_e/m_He.
The question is below. I tried reasoning that because x is constant, E is also constant however that gives me values in the range of 10^51. Then I tried to use numpy's ivp_solve function to solve the differential equation however I wasn't able to get that working either. Apparently I'm meant to...
The first equation works out the rate of decrease of energy with distance -dE/dx of an energy emitter. But in this question, we are at a fixed distance from the energy emitter. So it wants us to write it in terms of dE/dP instead where P is pressure (second equation). Let me know if it is still...
So first thing I tried was to separate the variables then differentiate by parts, setting u = E and v = 1/ln(E) (and the other way around) but I couldn't do the integral it gave.
Then I tried to reason that because dx was constants then dE/dx is equal to E/x but I was told that's not the case...
Oh I see! I was given this equation that wasn't very well explained. So I assumed that the integer wasn't important and I should multiply them all by different multiplicands. But now I understand. Thank you so much.
Below is the measured values for the Debye rings I obtained. I have to multiply the ratio (which is (sin^2(theta_n))/(sin^2(theta_min))) by a multiplicand until I get an integer. However for the multiplicand and the values I measured I get 1, 3, 13, ??, 4, 8, ??. These should either correspond...