When a cathode of a photoelectric cell is illuminated with ultraviolet light of frequency 𝑓,
the electrons emitted have a maximum kinetic energy of Ek
. For which one of the following
graphs is the relationship between Ek
and f best illustrated for the photocell?
There is no graph provided in the question, so I cannot accurately determine which graph best illustrates the relationship between Ek and f for the photocell. However, I can provide a general understanding of the relationship between these variables.
According to the photoelectric effect, the maximum kinetic energy of electrons emitted from a cathode is directly proportional to the frequency of the incident light. This relationship is described by the equation:
Ek = hf - Φ
where Ek is the maximum kinetic energy of the emitted electrons, h is Planck's constant, f is the frequency of the incident light, and Φ is the work function (the minimum amount of energy required to remove an electron from the cathode material).
From this equation, we can see that as the frequency of the incident light increases, the maximum kinetic energy of the emitted electrons also increases. This means that there should be a positive linear relationship between Ek and f.
In terms of the graph, it should be a straight line that starts from the origin and has a positive slope. The slope of the line represents the value of Planck's constant. However, without more information about the specific values involved, I cannot determine which graph would best illustrate this relationship.