Basic particle accelerator - escape speed (grade 12)

AI Thread Summary
The discussion revolves around modifying a basic particle accelerator to accelerate protons instead of electrons. It highlights that protons, being more massive than electrons, will achieve a lower exit speed under the same electric field conditions. The conversation clarifies that if the device is not modified, protons would be attracted to the negatively charged plate and likely not exit at all. The key takeaway is that while both particles experience the same electric field, the mass difference impacts their acceleration and exit speed. Understanding these principles is crucial for effectively designing particle accelerators.
krbs
Messages
51
Reaction score
3

Homework Statement


The device has two parallel plates, one positively charged and one negatively. The positive plate has a hole to allow electrons to fire out of it.

b) How can the device be modified to accelerate protons?
c) How does the escape velocity of a proton compare to that of an electron, if the electric field were the same? Explain.

Homework Equations


a = qε/m

The Attempt at a Solution


Part c is what I'm unsure about. Are they assuming that I've modified the device, but the electric field has the same magnitude?

If so, my educated guess is as follows:

The particles have equal but opposite charges and experience the same field, but a proton has a larger mass and will be accelerated less before exiting the device; therefore, it will have a lower exit speed.

On the other hand, assuming the device has not been modified, the proton would still have a lower exit speed (probably won't exit at all) because it's attracted to the negative plate.
 
Physics news on Phys.org
You're doing fine. Yes, part c question comes after the modification. (otherwise the protons would indeed go the other way and fall on to the negative plate).
 
  • Like
Likes krbs
Thank you,
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top