Particles and Radiation (3): Quantum Phenomena Flashcards
Define the photoelectric effect
This is when photoelectrons are emitted from the surface of a metal when electromagnetic radiation above a threshold frequency is incident on it
What was the assumption before people observed the results from the photoelectric effect?
That light was only a wave
What is the definition of the threshold frequency?
An intrinsic numerical property of metals where incident EM radiation/photons above which will cause photoelectrons to be emitted
Describe 4 assumptions about how people thought that the photoelectric effect worked vs what they found after
- Electrons absorb energy continuously from the EM waves
-> Electrons actually absorb energy in discrete ‘all or nothing’ packets called photons - All frequencies of light should be able to eject electrons from the surface of a material given enough time and intensity
-> Electrons are only ejected from a metal when the incident frequency is above the threshold frequency of that metal - Photoelectric emission occurs with delay
-> Actually occurs without delay provided the f is greater than or equal to the f(min) - Wave energy is determined by E=I=A^2 therefore increasing the intensity means that the emitted photoelectrons should have more kinetic energy
-> No relationship between intensity and Ek of photoelectrons emitted, instead as the frequency above the threshold frequency increases the Ek of the photoelectrons will increase
Does intensity of the EM radiation effect the Ek of the emitted photoelectrons?
no
Does intensity of the EM radiation effect the number of the emitted photoelectrons?
yes - but only once the frequency is above the threshold frequency of the metal
How many photons can each electron absorb?
1
What was the discovery that occurred due to the photoelectric effect?
That light can behave as a particle:
-> has both wave-like and particle-like properties
What did Einstein theorise light was made of?
Discrete ‘all or nothing’ packets called photons
How can you change the frequency of light?
Change its colour
Which colour of light has the highest frequency?
Violet
Which colour of light has the lowest frequency?
Red
What is the equation for the frequency of an electromagnetic wave?
f=c/(lambda)
What is the equation for the energy of a photon?
E = hf = hc/(lambda)
What is the energy gained by an electron on the surface of a metal?
hf - as the electron gains the energy from 1 photon
Work function defintion
The minimum energy required for an electron to escape from the surface of a metal
Will all emitted photoelectrons be from the surface of the metal?
no
If the value of the work function, theta, is smaller than the value of E gained by the electron from the photon, where does the extra energy go?
Into the kinetic energy of the emitted photoelectron
What is the equation for the Ek (max) of an emitted electron?
Ek (max) = hf - (theta)
hf = Ek (max) + theta
What is required for an electron emission to take place from a metal surface?
Ek (max) > 0 or hf > (theta)
What is the equation for the threshold frequency of a metal material?
f (min) = (theta)/h
What is the definition of the stopping potential?
The potential you would need to apply across the metal to stop the photoelectrons with the maximum kinetic energy
By applying a potential to your metal, what are you physically doing?
Giving the plate a sufficiently positive charge for the photoelectrons with the maximum kinetic energies to be attracted back
What is the equation for Ek (max) of a photoelectron when a stopping voltage has been applied?
Ek (max) = eVs
Where:
Vs - stopping voltage
- Derived from: energy = charge x voltage
What is the value of Ek (max) when the stopping voltage is applied?
0
What did Plank suggest?
That the energy of each vibrating atom is quantised -> only certain levels of energy (energy levels) are allows corresponding to E = hf
What does the word quantised mean?
Discrete and distinct amounts
What happens if an electron does not gain enough energy from an incident photon in order to escape the metal surface?
It will collide repeatedly with other electrons and positive metal ions, quickly losing its extra kinetic energy
Describe the structure of a vacuum photocell
A glass tube containing a metal plate known as the photocathode and a smaller metal electrode opposite it known as the anode. The anode and cathode are connected to a microammeter in a series circuit.
Describe how a vacuum photocell works
When light with a frequency greater than the threshold frequency of the photocathode metal is incident, photoelectrons are emitted. These electrons are attracted to the anode and the microammeter is able to measure the photoelectric current.
What is the photoelectric current produced in a vacuum photocell proportional to?
The number of electrons per second that transfer from the cathode to the anode, hence the intensity of the incident light on the photocathode
What is the equation for the number of photoelectrons per second that transfer from the cathode to the anode?
I/e
What is the equipment used to measure the Ek (max) of photoelectrons emitted for different frequencies of incident light?
A photocell
Describe what graph you plot and the features of the graph when you are investigating how Ek (max) changes with different frequencies of light
Using equation Ek (max) = hf - (theta)
Plot Ek (max) against f
- The gradient of your line = plancks constant, h
- The y-intercept of your line = work function
- The x-intercept of your line = threshold frequency