Rutherford Scattering and relativistic effects

AI Thread Summary
In a Rutherford scattering experiment, the target nucleus has a diameter of 3.5 x 10^-14 m, and the incoming alpha particle has a mass of 6.64 x 10^-27 kg. To find the kinetic energy of the alpha particle with a de Broglie wavelength equal to the nucleus diameter, the equation E = hc/λ is used, where E represents energy, h is Planck's constant, c is the speed of the particle, and λ is the de Broglie wavelength. The discussion emphasizes that in this scenario, energy (E) and kinetic energy (KE) are equivalent. Relativistic effects are ignored for this calculation.
MrDMD83
Messages
25
Reaction score
0

Homework Statement



n a Rutherford scattering experiment a target nucleus has a diameter of 3.5 10-14 m. The incoming has a mass of 6.64 10-27 kg. What is the kinetic energy of an particle that has a de Broglie wavelength equal to the diameter of the target nucleus? Ignore relativistic effects.
J



Homework Equations





The Attempt at a Solution



No attempts
 
Physics news on Phys.org
Damn dude, here's the equation you need:

E=\frac{hc}{\lambda}
E is the energy, h is the planks constant, c (more properly v) is the speed of the particle, and lambda is the de-broglie wavelength.

E and KE are equal in this case.
 
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...

Similar threads

Replies
4
Views
3K
Replies
2
Views
3K
Replies
1
Views
3K
Replies
3
Views
3K
Replies
5
Views
2K
Replies
3
Views
3K
Back
Top