Section 2: Electromagnetic Radiation and Quantum Phenomena Flashcards
If you shine radiation of a high enough frequency onto the surface of a metal, what happens?
It will instantly emit electrons.
For most metals, the necessary frequency falls in the ultraviolet range.
If you shine radiation of a high enough frequency onto the surface of a metal, it will instantly emit electrons. Why does this happen?
Because of the way atoms are bonded together in metals, metals contain ‘free electrons’ that are able to move about the metal. The free electrons on or near the surface of the metal absorb the energy from the radiation, making them vibrate. If an electron absorbs enough energy, the bonds holding it to the metal can break and the electron can be released.
During the photoelectric effect, what are the electrons that are emitted called?
photoelectrons
How does the photoelectric effect work?
If you shine radiation of a high enough frequency onto the surface of a metal, it will instantly emit electrons. Because of the way atoms are bonded together in metals, metals contain ‘free electrons’ that are able to move about the metal. The free electrons on or near the surface of the metal absorb the energy from the radiation, making them vibrate. If an electron absorbs enough energy, the bonds holding it to the metal can break and the electron can be released.
What are the 4 main conclusions from the photoelectric effect?
- For a given metal, no photoelectrons are emitted if the radiation has a frequency below a certain value - called the threshold frequency.
- The photoelectrons are emitted with a variety of kinetic energies ranging from zero to some maximum value. This value of maximum kinetic energy increases with the frequency of the radiation.
- The intensity of radiation is the amount of energy per second hitting an area of the metal. The maximum kinetic energy of the photoelectrons is unaffected by varying the intensity of the radiation.
- The number of photoelectrons emitted per second is proportional to the intensity of the radiation.
What is conclusion 1 of the photoelectric effect?
For a given metal, no photoelectrons are emitted if the radiation has a frequency below a certain value - called the threshold frequency.
What is conclusion 2 of the photoelectric effect?
The photoelectrons are emitted with a variety of kinetic energies ranging from zero to some maximum value. This value of maximum kinetic energy increases with the frequency of the radiation.
What is conclusion 3 of the photoelectric effect?
The intensity of radiation is the amount of energy per second hitting an area of the metal. The maximum kinetic energy of the photoelectrons is unaffected by varying the intensity of the radiation.
What is conclusion 4 of the photoelectric effect?
The number of photoelectrons emitted per second is proportional to the intensity of the radiation.
What did the photoelectric effect prove?
Light can’t just be a wave as certain observations of the photoelectric effect can’t be explained by the classical wave theory.
What does the wave theory state about the frequency of electromagnetic waves and their energy?
For a particular frequency of electromagnetic waves, the energy carried should be proportional to the intensity of the beam. The energy carried by the electromagnetic wave would also be spread evenly over the wavefront.
If an electromagnetic wave were shone on a metal, what does the wave theory state should happen? Why is this not accurate?
If an electromagnetic wave were shone on a metal, each free electron on the surface of the metal would gain a bit of energy from each incoming wavefront. Gradually, each electron would gain enough energy to leave the metal. If the electromagnetic wave has a lower frequency, it would take longer for the electrons to gain enough energy, but it would eventually happen.
However, electrons are never emitted unless the wave is above a threshold frequency - so wave theory can’t explain the threshold frequency.
What does the kinetic energy of the photoelectrons depend on?
Wave theory can’t explain the fact that the kinetic energy depends only on the frequency in the photoelectric effect.
Who suggested that electromagnetic waves can only be released in discrete packets, or quanta?
Max Planck
How do you find the energy of one wave-packet?
E = hf
E = hc/wavelength
E is energy in J
h is Planck’s constant (6.63x10-34) in Js
f is frequency in Hz
c is speed of light in a vacuum (3x10 8) in m/s
What is Planck’s constant?
6.63x10-34 Js
What did Einstein suggest following Planck’s theory?
Einstein suggested that electromagnetic waves (and the energy they carry) can only exist in discrete packets. He called these wave-packets photons.
What did Einstein suggest about photons?
He saw these photons of light as having a one-on-one, particle-like interaction with an electron in a metal surface. Each photon would transfer all its energy to one specific electron.
What was so significant about Einstein’s photon model?
The photon model could be used to explain the photoelectric effect.
How can the photoelectric effect be demonstrated with an experiment?
A zinc plate is attached to the top of an electroscope (a box containing a piece of metal with a strip of gold leaf attached).
The zinc plate is negatively charged (which in turn means the metal in the box is negatively charged). The negatively charged metal repels 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 plate via the photoelectric effect.
As the zinc plate and metal lose their negative charge, the gold leaf is no longer repelled and so falls back down.
What is meant by the work function energy?
When EM radiation hits a metal, the metal’s surface is bombarded by photons. If one of these photons collides with a free electron, the electron will gain energy equal to hf.
Before an electron can leave the surface of the metal, it needs enough energy to break the bonds holding it in there. This energy is called the work function energy.
What does the work function energy depend on?
the metal the electrons are part of
If the energy gained by the electron from a photon is greater than the work function energy, what happens?
the electron can be emitted
If the energy gained by the electron from a photon is lower than the work function energy, what happens?
The electron will just shake about a bit, then release the energy as another photon. The metal will heat up, but no electrons will be emitted.
How do you find threshold frequency?
threshold frequency = work function/Planck’s constant
Why do electrons that have been emitted from a metal have a range of kinetic energies?
The energy transferred for EM radiation to an electron is the energy it absorbs from one photon (hf). The kinetic energy it will be carrying when it leaves the metals is hf - any other energy losses. These energy losses are the reason the electrons emitted from a metal have a range of kinetic energies.
What is the photoelectric equation?
hf = work function + maximum kinetic energy