How to calculate wavelength electron given speed

AI Thread Summary
To calculate the wavelength of an electron given its speed, the kinetic energy formula (1/2 mv^2) is used to determine energy, which is then related to frequency using E = hf. The speed of light and frequency are combined to find the wavelength, but confusion arises regarding unit conversions. The discussion highlights the need to apply de Broglie's formula for matter waves instead of using photon equations. Ultimately, the user resolves their misunderstanding with assistance from another participant. Understanding the correct application of formulas and units is crucial in these calculations.
Adam Rabe
Messages
33
Reaction score
0

Homework Statement


Unit conversion where did i go wrong.PNG

Homework Equations


1/2 mv^2
E = hf
c = f (wavelength)

The Attempt at a Solution


0.5 * (9.109 * 10^-31) * (6 * 10^4)^2 = energy
energy = hf => f = energy/(6.626*10^-34) = 2.47 * 10^12
wavelength (m) = (speed of light) / frequency
wavelength (m) * (1*10^9) = 121235.4

Answer is 12. What gives guys I am 4 decimal places too high is there some unit for any of the equations I am not getting?
Any help is greatly appreciated.
Adam
 
Physics news on Phys.org
Adam Rabe said:

Homework Statement


View attachment 204156

Homework Equations


1/2 mv^2
E = hf

That formula is valid for photons. For matter waves, use de Broglie's formula for the wavelength.
Adam Rabe said:
Answer is 12. What gives guys I am 4 decimal places too high is there some unit for any of the equations I am not getting?
Any help is greatly appreciated.
Adam
12 in what units?
 
ehild said:
That formula is valid for photons. For matter waves, use de Broglie's formula for the wavelength.

12 in what units?
omg i got it now. thanks a lot friend
 
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
5
Views
2K
Replies
3
Views
205
Replies
3
Views
3K
Replies
11
Views
2K
Replies
2
Views
10K
Back
Top