Effect of Light Intensity on Photoelectron Kinetic Energy and Emission Rate

In summary, when the intensity of light is doubled, the number of photons passing through the unit area per unit time also doubles, while the maximum kinetic energy of the photoelectrons remains the same. This is because light intensity is directly proportional to the number of photons, and not the frequency or wavelength of the light.
  • #1
stickplot
85
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Homework Statement



A metal gives off photoelectrons with maximum kinetic energy Kmax at the rate of N per second when a beam of light of wavelength λ shines on it. How will Kmax and N change if the intensity (brightness) of light is doubled? Assume 100% efficiency.

Homework Equations



hc/wavelength=? then. P/?=

h=planks constant
c= speed of light
p=power

The Attempt at a Solution



kinetic energy will remain the same
n will double

Im not sure how to do this problem
if the brightness doubles, will the frequency double? or the wavelength?
and I am not sure how that would affect n per second

so what I am basically asking is. Is the intensity of light related to the frequency, and if so, in what way?
 
Last edited:
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  • #2
stickplot said:

Homework Statement



A metal gives off photoelectrons with maximum kinetic energy Kmax at the rate of N per second when a beam of light of wavelength λ shines on it. How will Kmax and N change if the intensity (brightness) of light is doubled? Assume 100% efficiency.

Homework Equations



hc/wavelength=? then. P/?=

h=planks constant
c= speed of light
p=power

The Attempt at a Solution



kinetic energy will remain the same
n will double

Im not sure how to do this problem
if the brightness doubles, will the frequency double? or the wavelength?
and I am not sure how that would affect n per second

so what I am basically asking is. Is the intensity of light related to the frequency, and if so, in what way?
Light intensity is a measure of the [time-averaged] energy flux and has S.I. units of W.m-2. In other words, light intensity is a measure of the average amount of energy passing through the unit surface. In terms of photons, the intensity of light is directly proportional to the number of photons passing through the unit area per unit time.

Perhaps this will help: http://www.Newton.dep.anl.gov/askasci/phy05/phy05113.htm
 
Last edited:
  • #3
ok. so does that mean that the photons would double in number since the brightness doubles, and kmax would remain the same.
is this right?
 
  • #4
stickplot said:
ok. so does that mean that the photons would double in number since the brightness doubles, and kmax would remain the same.
is this right?
Sounds about right to me :approve:
 
  • #5
alright thanks :)
 

1. What are photoelectrons?

Photoelectrons are electrons that are emitted from a material when it is exposed to electromagnetic radiation, such as light. This process is known as the photoelectric effect.

2. How are photoelectrons produced?

Photoelectrons are produced when photons from light energy strike the surface of a material, transferring their energy to electrons in the material and causing them to be emitted.

3. What is Kmax in relation to photoelectrons?

Kmax, also known as the kinetic energy of the photoelectrons, is the maximum energy that the electrons can possess after being emitted from the material. It is dependent on the frequency and intensity of the incident light, as well as the properties of the material.

4. How is Kmax related to the energy of the incident light?

The kinetic energy of the photoelectrons (Kmax) is directly proportional to the energy of the incident light. This means that as the frequency or intensity of the light increases, so does the Kmax of the emitted photoelectrons.

5. What is the significance of photoelectrons and Kmax in scientific research?

Photoelectrons and Kmax are important in understanding the properties and behavior of materials. By studying the emission of photoelectrons and their Kmax values, scientists can gather information about the electronic structure and energy levels of a material, which can be used in a variety of fields such as chemistry, physics, and materials science.

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