Hello, thanks for the question. You are not bad at algebra; I just made a notation error, so that is my mistake! The energy of the electron after collision should include the electron's initial energy. In algebraic terms, E_e^2 = E_0^2 + (p_e⋅c)^2. You should get an (m_0⋅c^2)^2 term on both sides of the equation, which cancels out.
Oh, thanks! I think I understand that with the help of the reference text you have your description. Your derivations are deliciously simplified. You have earned another subscriber.
Since I found Astro's explanation a bit confusing, I would like to add some clarification about the tiny error at around 2:26: The energy of the electron after scattering, according to relativistic mechanics would actually be E_e = sqrt[(m0^2)c^4 + (p_e*c)^2]. This would also give you the motivation behind squaring all the terms in the Energy Equation AND as to why we divided everything by c^2, while getting rid of the extra (m_0*c^2)^2 arising from the error. In any case, keep up the great content AstroNaught!! It was a nice video.
Hello, I made a note of this in a previous comment, but I apologize for not making it clearer. Please see the pinned comment. I will also add it to the description of this video, so hopefully it can be spotted more easily!
in about 2:26, shouldn't there be a (MoC)^2 term?
sorry i am bad at algebra
Hello, thanks for the question. You are not bad at algebra; I just made a notation error, so that is my mistake! The energy of the electron after collision should include the electron's initial energy. In algebraic terms, E_e^2 = E_0^2 + (p_e⋅c)^2. You should get an (m_0⋅c^2)^2 term on both sides of the equation, which cancels out.
Oh, thanks!
I think I understand that with the help of the reference text you have your description.
Your derivations are deliciously simplified. You have earned another subscriber.
I’m so confused how did you get to the line at 2:26 how did you do the algebra
Since I found Astro's explanation a bit confusing, I would like to add some clarification about the tiny error at around 2:26: The energy of the electron after scattering, according to relativistic mechanics would actually be E_e = sqrt[(m0^2)c^4 + (p_e*c)^2]. This would also give you the motivation behind squaring all the terms in the Energy Equation AND as to why we divided everything by c^2, while getting rid of the extra (m_0*c^2)^2 arising from the error.
In any case, keep up the great content AstroNaught!! It was a nice video.
Could you please explain how you obtained the equation for the energy of an electron after scattering?
Appreciable. I'm a UG at IIT Bh. and would suggest everyone to watch it. Why ? Cause shortest duration, precise and accurately to the topic points.
Thank you so much..This is a lot easier.
Good job you save my 10 minutes 💙
Lot of errors at 2:26 and at 4:15 what happened to the (p-p') that was in multiplication of m_o C?
Hello, I made a note of this in a previous comment, but I apologize for not making it clearer. Please see the pinned comment. I will also add it to the description of this video, so hopefully it can be spotted more easily!
Hello the class of Parker Harrison Stonier currently in the ib program in France
it was neat and nice... Thanks...
Its a bit wrong you did not consider the kinatic energy in Ee otherwise its good .
Thanks btw great video ❤
Good though too fast