What is the kinetic energy of particles with a de Broglie wavelength of 0.50 nm?

AI Thread Summary
The discussion focuses on calculating the kinetic energy of various particles with a de Broglie wavelength of 0.50 nm. For photons, the kinetic energy is determined using the formula E = hc/λ, resulting in 2480 eV. The participants express difficulty in applying the de Broglie wavelength formula, p = h/λ, to find the kinetic energies of electrons, neutrons, and α particles. They mention the total energy equation E² = p²c² + m₀²c⁴ and the relationship KE = E - m₀c² for further calculations. The conversation highlights the need for clarity in applying quantum mechanics principles to different particle types.
thatoneguy123
Messages
5
Reaction score
0
Find the kinetic energy of the following particles that each have a de Broglie wavelength of 0.50 nm.?

(a) photons
____eV = 2480eV
(b) electrons
____eV
(c) neutrons
____eV
(d) α particles
____eV

i know E= hc/wavelength which = a and after that I am stuck i know that the wavelength = h/p but i don't know how to solve the others with this
 
Physics news on Phys.org


i found be by taking hc/ lamda squared and dividing it by the momentum squared
 


momentum p,
p = h/\lambda

total energy E :
E^{2} = p^{2}c^{2} + m_{o} ^{2}c^{4}

KE = E - m_{o}c^{2}
 
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 '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
14
Views
3K
Replies
3
Views
3K
Replies
11
Views
2K
Replies
3
Views
2K
Replies
5
Views
2K
Replies
1
Views
2K
Replies
3
Views
2K
Replies
5
Views
2K
Back
Top