Section 2 - EM Radiation and Quantum Phenomena Flashcards
What is the photoelectric effect?
Shining a light of high enough frequency onto the surface of a metal causes it to emit electrons.
What is the frequency required for the photoelectric effect in most metals?
In the UV range.
Describe how the photoelectric effect works.
- Free electrons on the surface absorb energy from photons.
- If an electron absorbs enough energy, the bonds holding it to the metal break and it is released.
- The emitted electrons are called photoelectrons.
What 3 conclusions can be made from experiments on the photoelectric effect?
- For a certain metal, no photoelectrons are emitted if the radiation is below a threshold frequency.
- Photoelectrons have varying kinetic energies, up to a maximum. This maximum kinetic energy with radiation frequency, but is not affected by intensity.
- The number of photoelectrons per second is proportional to the intensity of radiation.
What is the threshold frequency in the photoelectric effect?
The frequency of the radiation below which no photoelectrons are emitted.
How does the frequency of the light affect the photoelectric effect?
The higher the frequency, the greater the maximum kinetic energy of the photoelectrons.
How does the intensity of the light affect the photoelectric effect?
The higher the intensity, the more photoelectrons are emitted per second.
Does the light intensity affect the maximum kinetic energy of photoelectrons?
No.
What is light intensity?
The power (energy transferred per second) hitting a given area of a metal.
Why can’t the photoelectric effect be explained by wave theory?
According to wave theory:
• For a certain frequency, energy is proportional to intensity.
• Therefore each free electron should get a bit of energy from each incoming wave.
• Gradually, each electron would gain enough energy to leave the metal.
So:
• Kinetic energy should increase with intensity - It doesn’t!
• Electrons should be emitted eventually, regardless of frequency - But in reality, there is a threshold frequency!
For a certain frequency of light, the intensity is proportional to…
The energy carried.
Why can wave theory not explain why the kinetic energy of a photoelectron in the photoelectric effect only increases with frequency (and not intensity)?
As light intensity increases, the energy transferred to each electron should increase also. This doesn’t happen.
Why can wave theory not explain why the threshold frequency in the photoelectric effect?
The electrons should gradually gain energy and be emitted eventually, regardless of the radiation frequency. This doesn’t happen.
Who suggested a photon model of light?
Einstein
What is a photon?
A discrete packet of light.
What is the equation for the energy of a photon?
E=hf
Where h = 6.63 x 10^-34
In the photoelectric effect, how many electrons can each photon transfer its energy to?
Only one.
How does the photon model of light explain the photoelectric effect?
- When light hits the metal surface, it is bombarded by photons
- If on of these photons collides with a free electron, the electron will gain energy equal to hf.
What is the work function of a metal?
The energy that must be supplied to an electron on the surface of a metal so that it can escape the metal as a photoelectron.
What is the symbol for the work function?
Phi ϕ
Is the work function of each metal the same?
No, it varies between metals.
What happens when the energy gained by an electron is less than the work function?
No electron is emittd, but the metal heats up.
What happens when the energy gained by an electron is more than the work function?
The electron is emitted from the metal.
Give an equation for the threshold frequency.
f = ϕ / h
Give an explanation for the range in energies of the photoelectrons emitted from a metal.
The ones deeper down in the metal lose more energy when exiting than the ones nearer the surface.
What is the photoelectric equation?
hf = ϕ + Ek(max)
where:
Ek(max) = 1/2 x m x v(max)^2
What is the equation for the maximum kinetic energy of an electron in terms of mass and velocity?
Ek(max) = 1/2 x m x v(max)^2
Why is the kinetic energy of a photoelectron independent of the intensity of light?
Each electron can absorb only one photon at a time.
What can the stopping potential be used for?
Measuring the maximum kientic energy of photoelectrons.
What is stopping potential?
The p.d. needed to stop the fastest moving photoelectrons emitted in the photoelectric effect.