Quantum Flashcards
What is the photoelectric effect
When light incident on a metal surface causes electrons to be emitted from the surface
When was the photoelectric effect discovered and by who
1887
by Heinrich Hertz, but it took 18 more years for Albert Einstein to explain it
Which visible light colour has the highest frequency and what does this mean
Blue/violet
Most likely to cause a photoelectric effect
2 main points about increasing the frequency in terms of the photoelectric effect
Below a certain frequency (threshold) no electrons are emit and above it they are
Increasing the frequency increases the kinetic energy of the emitted electrons
What is the threshold frequency
The minimum frequency of light incident on a metal surface needed to cause electrons to be emitted
Different for each metal and a property of the metal
Effect of increasing the brightness/intensity if below the threshold frequency
No effect
Although more waves are transmitted per second and more waves strike the metals surface per second
The photons of light still do not have a frequency above the threshold frequency
So no electrons are emit
Effect of increasing the frequency above threshold
Photons have an increased frequency so an increased energy
Electrons emit from the metals surface with greater maximum kinetic energy
Effect of increasing the brightness/intensity if above the threshold frequency
More waves emitted per second from the light source
More photons of light striking the metal surface per second
Increased number of electrons emitted from the metals surface per second
What is the effect of moving a lamp twice as far away from the source
4x less photons of light strike the surface of the metal
Due to the inverse square law
But the kinetic energies of the photons remains the same
Since the frequency is the same
So 4x fewer electrons emitted per second
With the same kinetic energy
Why is it common for metals with one electron in their outer shell to exhibit the photoelectric effect in visible light
Less energy has to be absorbed for the electron to be emitted
What are photoelectrons
The emitted/liberated electrons
That are liberated from their metals surface due to the photoelectric effect
Why is it more accurate to refer to kinetic energy as maximum kinetic energy
The emitted electrons have a range of energies
What are the axis for the energy frequency graph
x; Frequency of radiation (x10^14Hz)
y; Maximum kinetic energy (x10-19J)
y intercept for the energy frequency graph
The work function
What is the x intercept for the energy frequency graph
The threshold frequency
Gradient of the energy frequency graph
Planck’s constant
h
In formula book (6.63x10^-34Js)
Comment on the speed electrons are emit during the photoelectric effect
Instantaneously
Negligible delay between light hitting the metal surface and electrons being emitted
What does the number of electrons emitted per second depend on
The intensity of the light
Why does light behave the way it does in the photoelectric effect
Electrons are held by electrostatic forces onto the surface of the metal
The light has to provide enough energy to rip the electron free from the metals surface and break free from these forces
What did the wave theory anticipate that was not true
If a wave hasn’t got enough energy to liberate an electron then you need a higher amplitude wave (brighter light)
But in practice if the light is below the threshold frequency then no electrons are produced even if brightness is increased
So to explain it Einstein had to move away from the wave theory
What was Einstein’s proposition
Instead of travelling in waves light can travel in discrete packets known as photons
What happens when a photon strikes a metals surface
Either absorbed if it has the sufficient energy
Or not absorbed at all
Will knock out an electron if its energy is larger than the energy holding the electron in the metal
Energy of photon equation
E=hf=hc/λ
E; Energy of each photon in Joules
h; Planck’s constant in Js
f; Frequency of each photon
What is the work function
Φ
Minimum energy required to liberate an electron from the surface of a metal
A property of the metal and different for each metal
What happens if monochromatic light is incident on metals surface at the threshold frequency
All the photons would have a frequency equal to the threshold frequency
So each photon would have just enough energy to cause the photoelectric effect to occur and electrons to be emit
hf
Photon energy is less than the work function
No photoelectrons are emitted
Photon frequency is less than the threshold frequency
hf=Φ
Photon energy is equal to the work function
Photoelectrons emitted with zero kinetic energy
Photon frequency=threshold frequency
hf>Φ
Photon energy is greater than the work function
Photoelectrons are emitted with a range of kinetic energies up to the maximum kinetic energy
Photon frequency is greater than the threshold frequency
Kinetic energy of electron emitted =
Energy of incident photon - Energy needed to remove electron
Comment on the electron depth and energy
If an electron is at the very surface of the metal the energy required is the work function and so has the maximum kinetic energy
those deeper require more energy so emitted with slightly less kinetic energy
Hence a range of kinetic energies
Energy of incident photon equation
Energy needed to remove the electron (Φ) + Kinetic energy of emitted electron
hf = Φ + Ekmax hf = hf0 + Ekmax (in J)
Provided
Work function equation
hf0
Planck’s constant x the threshold frequency
Not provided
Explain the wave model prediction for the photoelectric effect
Electrons gradually absorb energy from multiple light waves to gain enough energy to break free from the metal
Brighter light means quicker electron accumulates required energy
Energy of a beam is determined by the number of waves emitted per second not the frequency
Changing the colour of light has no effect on the emission of electrons
Explain the particle model explanation for the photoelectric effect
Electrons either completely absorb photon energy if its energy is greater than that to break free from the metal or the photon passes through
1 to 1 interaction
Electron cannot absorb more than one photon of light
So brightness doesn’t have any affect if the photon doesn’t have enough energy
Energy of each photon is determined by the frequency/colour of light
Increasing the brightness increases the number of photons hitting the metal surface so increases the number of electrons emitted
Explain the first half of the gold leaf experiment
Rub plastic rod with cloth to transfer electrons from cloth to rod
Rod has overall negative charge
Touch rod to zinc plate to transfer electrons
Leaving plate with negative charge
Negative charge flows down the metal stem and into the gold leaf
The stem and gold leaf are both negatively charged so repel eachother
Gold leaf rises
Explain the set up of the electroscope in gold leaf experiment
Zinc plate on a metal cap Attached to a metal stem That goes into an early metal cage Insulated in a vacuum to avoid charge leaking away to the air Stem has a gold leaf attached
Explain the second stage of the gold leaf experiment
If light with a frequency above the metals threshold frequency is incident on the plate
Electrons are liberated from the metal surface
The plate, metal stem and gold leaf lose their excess charge
The gold leaf and metal stem no longer repel one another
Leaf falls
Why wont light below the threshold frequency cause the golf leaf to fall
Photons do not have enough energy to liberate the electrons from the surface
Energy is lower than the work function
Leaf and stem remain charged as the excess charge is not removed
Why wont the gold leaf fall when the brightness of the light is increased when below the threshold frequency
Frequency still below the threshold frequency
Even though there are more photons hitting the metals surface per second, since photons and electrons interact 1-1, each individual photon still doesn’t have enough energy to liberate an electron
Leaf and stem remain charged as the excess charge is not removed
Energy of a single photon
hf-Φ
Explain why the photoelectric effect is not observed below the threshold frequency
Frequency of light is not high enough
Energy of each photon is lower than the work function
So don’t have enough energy to liberate electrons from the metal surface
Photons aren’t absorbed and instead pass through
What is validated evidence
Experimental evidence
That can be replicated
eV
Electronvolt
The kinetic energy gained by one electron passing through a potential difference of 1 volt