Photoelectric Effect - Wavelength of a Photon

In summary, to calculate the wavelength of a photon with the same momentum as an electron moving at 1.0*10^6 m/s, you can use the equation p = h/λ and substitute the momentum of the electron. This gives a wavelength of 0.73 nm, and the problem is not related to the photoelectric effect.
  • #1
BioBabe91
13
0

Homework Statement


Calculate the wavelength of a photon having the same momentum as an electron
moving at 1.0  106 m/s.
The answer is supposed to be 0.73 nm.

Homework Equations


Ek = (m*v^2)/2
Ek = hf - W
p = E/c = hf/c = h/[tex]\lambda[/tex]


The Attempt at a Solution


I first found Ek using the kinetic energy formula, using the speed of the electron given in the question and the mass of the electron.
I can't quite figure out where to go next.
 
Physics news on Phys.org
  • #2
This problem has nothing to do with the photoelectric effect. Find the momentum of an electron moving at the speed given, substitute it in p = h/λ, and solve for λ.
 
  • #3
It is in the photoelectric effect section of the book, though.

Alright, thanks.
 

1. What is the Photoelectric Effect?

The photoelectric effect is a phenomenon where electrons are emitted from a material when it is exposed to electromagnetic radiation, such as light. This effect was first observed by Heinrich Hertz in 1887.

2. How is the wavelength of a photon related to the Photoelectric Effect?

The wavelength of a photon is directly related to the amount of energy it carries. In the photoelectric effect, the energy of a photon must be greater than the binding energy of the electron in order for it to be emitted from the material. This energy is determined by the wavelength of the photon.

3. What is the significance of the threshold frequency in the Photoelectric Effect?

The threshold frequency is the minimum frequency of light required to cause the emission of electrons in the photoelectric effect. If the frequency of the incident light is below the threshold frequency, no electrons will be emitted, regardless of the intensity of the light.

4. How does the intensity of light affect the Photoelectric Effect?

The intensity of light does not affect the photoelectric effect. This is because the number of electrons emitted depends on the frequency of the light, not its intensity. However, increasing the intensity of light does increase the number of photons, which can lead to an increase in the number of electrons emitted.

5. What is the work function in the Photoelectric Effect?

The work function is the minimum amount of energy required to remove an electron from a material. In the photoelectric effect, the work function is equivalent to the binding energy of the electron. It is different for each material and can be thought of as the "strength" of the bond between the electron and the material.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
866
  • Introductory Physics Homework Help
Replies
8
Views
2K
Replies
8
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
4K
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
25
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
2K
Replies
5
Views
647
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
11
Views
2K
Back
Top