The Photoelectric Effect Flashcards
threshold frequency
The lowest frequency of light that when shone on a metal will cause electrons to be released from it, ( by the photoelectric effect )
work function
The minimum amount of energy required for an electron to escape a metals surface
Equation with work function and threshold frequency
fo = Φ / h
Max Plancks wave packets
Max Planck was the first person to suggest that EM waves can only be released in discrete packets, or quanta
E = hf = hc / λ
E = Energy of one wave-packet in J
Max kinetic energy equation
hf = Φ + Ekmax
or Ekmax = Φ + 0.5mvmax squared
What is the photoelectric effect?
If you shine radiation of a high enough frequency onto a surface of metal, it will instantly admit electrons.
For most metals, the necessary frequency falls in the ultraviolet range
Because of the way atoms are bonded together and metals, metals contain electrons that are able to move about the metal
The free electrons on or near the surface of the metal absorb energy from radiation making them vibrate
Electron absorbs enough energy the bond holding it to the metal can break and the electron can be released. This is called the photoelectric effect and the electrons admitted are called photoelectrons.
Main conclusions to the photoelectric effect:
-For a given metal no photo electrons are emitted if the radiation has a frequency below a certain value - this is called a threshold frequency
-Electrons are emitted with a variety of kinetic energies ranging from 0 to maximum value. This value of maximum kinetic energy increases with the frequency of radiation.
-The intensity of radiation amount of energy energy per second hitting an area of the metal the maximum kinetic energy of the photo electrons is unaffected by the varying intensity of the radiation
-The number of electrons admitted per second is proportional to the intensity of the radiation
Kinetic energy of photo electrons
The higher the intensity of the wave the more energy should transfer to each electron-the kinetic energy of the electrons should increase with intensity
Theory can’t explain the fact that the kinetic energy depends on the frequency in the photo Electric effect
Einstein’s photons
Sign went further by suggesting that electromagnetic waves and the energy they carry can only exist in discrete packets. He calls these wave packets photons
He saw these photos of lights as having one and one, particle-like interaction with an electron in a metal surface
Each photon would transfer all its energy to one specific electron
The photon model could be used to explain the photo electric effect
Demonstrating the photo Electric effect
The photo Electric effect can be demonstrated with a simple experiment
Zinc plate is attached the top of an electroscope (which is a box containing a piece of metal with a strip of gold leaf attached)
The zinc plate is negatively charged (which means the metal in the box is negatively charged). The negatively charged metal the gold leaf, causing it to rise up.
UV light is then shone onto the zinc plate
The energy of the light causes electrons to be lost from the zinc plates via the photoelectric effect.
As the sink plates and the metal lose their negative charge the gold leaf is no longer repelled and so falls back down
Stopping potential
The maximum kinetic energy can be measured using the idea of stopping potential
Photo electrons admitted by the photo electric effect can be made to lose energy by doing work against an applied to potential difference
The stopping potential is the potential difference needed to stop the fastest moving electrons travelled it with kinetic energy
The work done by the potential difference in stopping the fastest electrons is equal to the energy they were carrying
eVs = Ek(max)
e = 1.6x10-19
Vs = stopping potential
The electron volt
The kinetic energy carried by an electron after it’s been at accelerated from rest through a potential difference of one volt
The energy gained by an electron (eV) is equal to the accelerating voltage(V)
1eV = 1.6x10^-19
Excitation
The movement of an electron to a higher energy level in an atom
Ground state
The lowest energy level of an atom or the lowest energy level for an electron in an atom
Discrete energy levels in an atom
Electrons in an atom can only exist in certain well-defined energy levels
Each level is given a number , with N=1 representing the low energy level and electron can be, the ground state
We say that’s an electron is excited when it’s in an energy level higher than the ground state