Electromagnetic Radiation and Quantum Phenomena Flashcards
Shining light on a metal can…
release electrons
What will happen if you shine light onto the surface of a metal?
If you shine light of a high enough frequency onto the surface of a metal, the metal will emit electrons. For most metals this frequency falls in the UV range
What does ‘light’ mean?
Light means any EM radiation, not just visible light
Explain the photoelectric effect
-Free electrons on the surface of the metal absorb energy from the light
- If an electron absorbs enough energy the bonds holding it to the metal break and the electron is released
- This is called the photoelectric effect and the electrons emitted are called photoelectrons
What are the electrons emitted from the surface of a metal called?
Photoelectrons
What is the first main conclusion 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 the second main conclusion 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 and is unaffected by the intensity of the radiation
What do the first main two conclusions of the photoelectric effect have in common?
They are the two conclusions that had scientists puzzled as they could not be explained using wave theory
What is the third main conclusion of the photoelectric effect?
The number of photoelectrons emitted per second is proportional to the intensity of the radiation
What is the intensity of a radiation source?
Intensity is the power (the energy transferred per second) hitting a given area of the metal
What is the relationship between the photoelectric effect and wave theory?
The photoelectric effect couldn’t be explained by wave theory
What 4 conclusions can be made about the photoelectric effect according to wave theory?
- For a particular frequency of light the energy carried is proportional to the intensity of the beam
- The energy carried by the light would be spread evenly over the wavefront
- Each free electron on the surface of the metal would gain a bit of energy from each incoming wave
- Gradually, each electron would gain enough energy to leave the metal
Following the conclusions made about the photoelectric effect by wave theory, how can it not be explained by wave theory?
- Wave theory suggests that the higher the intensity of the wave the more energy it should transfer to each electron, the kinetic energy should increase with intensity. There is no explanation for the kinetic energy depending only on the frequency
- There is also no explanation for the threshold frequency. According to wave theory the electrons should be emitted eventually no matter what the frequency is
By which theories could the photoelectric effect be explained by and by which theories could it not be explained by?
The photoelectric effect couldn’t be explained by wave theory but it could be explained by Einstein’s photon model of light
Explain Einstein’s photon model of light
- Einstein suggested that EM waves and the energy that they carry exist in discrete packets called photons.
- The energy carried by one of these photons is : E=hf=hc/λ
- Einstein saw these photons of light as having a one-to-one particle-like interaction with an electron in a metal surface. A photon would transfer all its energy to one specific electron
What does the photon model of light say about when light hits the surface of a metal?
- When light hits its surface, the metal is bombarded by photons
- If one of these photons collides with a free electron, the electron will gain energy equal to hf
What does an electron need before it can leave the surface of a metal?
Before an electron can leave the surface of a metal it needs enough energy to break the bonds holding it there. This energy is called the work function and its value depends on the metal
What symbol does work function have?
Phi (Φ)
Define the electronvolt (eV)
The electronvolt is defined as the kinetic energy carried by an electron after it has been accelerated from rest through a potential difference of 1 volt
What is the energy of one electronvolt equal to in joules?
1 eV = 1.60*10^-19 J
What is the formula for calculating the energy of one photon and what does each variable in the formula mean?
E = hf = hc/λ
- h = Plank’s constant (6.6310^-34 Js)
- c = speed of light in a vacuum (3.0010^8 m/s)
Explain why no photoelectric effect is observed when a surface is given a positive charge?
As the surface attracts negative electrons back to its positive surface, therefore the photons now have insufficient energy to release electrons from the surface as the energy required has increased.
What is the proof for showing light as a wave?
Interference and Diffraction
How does Interference and Diffraction show light as a wave?
- Light produces interference and diffraction patterns which are alternating bands of dark and light
- These can only be explained using waves interfering constructively (when two waves overlap in phase) or interfering destructively (when the two waves are out of phase)
What does interference and diffraction show?
Light as a wave
What proof shows light behaving as a particle?
The photoelectric effect
What does the photoelectric effect show about the behaviour of light?
The photoelectric effect shows light behaving as a particle
How does the photoelectric effect show light behaving as a particle?
- Einstein explained the results of photoelectricity experiments by thinking of the beam of light as a series of particle-like photons
- If a photon of light is a discrete bundle of energy, then it can interact with an electron in a one-to-one way
- All the energy in the photon is given to one electron
What did De Broglie come up with?
The Wave-Particle Duality Theory
What statement did De Broglie make in his PhD thesis?
If wave like light showed particle properties (photons), particles like electrons should be expected to show wave-like properties
What does the De Broglie equation relate?
The De Broglie equation relates a wave property (wavelength) to a moving particle property (momentum)
What is each variable in the De Broglie equation?
- λ is wavelength
- h is Planck’s constant
- m is mass
- v is velocity
What can the De Broglie wave of a particle be interpreted as?
The De Broglie wave of a particle can be interpreted as a probability wave
What did physicists initially think of De Broglie’s Wave-Particle Duality theory?
Many physicists at the time weren’t very impressed - his ideas were just speculation, but later experiments confirmed the wave nature of electrons