Photoelectric effect and cutoff frequency

AI Thread Summary
To find the cutoff frequency from the Stopping Potential versus Frequency graph, one must rearrange the photoelectric effect equation to express the stopping potential (V) as a function of frequency (f). The slope of the graph corresponds to Planck's constant divided by the charge of an electron, while the y-intercept represents the work function. The x-intercept indicates the cutoff frequency, where the stopping potential is zero. By analyzing these intercepts and slopes, one can derive the necessary values to identify the cutoff frequency accurately. Understanding these relationships is crucial for solving problems related to the photoelectric effect.
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Homework Statement


I was just wondering that when I have a graph of the Stopping Potential versus Frequency of the light. How can I find the value for the cutoff frequency?
Wavelength Vo
160 nm 2.99 V
53 nm 19.18 V
80 nm 11.00 V
160 nm 2.93 V
187 nm 1.92 V

Homework Equations


The Attempt at a Solution

 
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What attempt have you made?
 
Write down the equation for the photoelectric effect and then use the fact that the stopping potential is the work done in stopping the electrons from having any kinetic energy.
 
Dadface said:
What attempt have you made?

well i found the theoretical value of the slope: 4.14125 X 10^-15 Js/C and the actual value of the slope: 3.9512 X 10^15 J s/C but don't know how to use them to find the answer
 
As rockfreak advised write down the equation.Next rearrange it to make V the subject of the equation and then compare what you have to the equation of a straight line.By comparison you should be able to identify what the gradient of the graph represent and what the intercepts on the y and the x-axis represent.
 
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Dadface said:
As rockfreak advised write down the equation.Next rearrange it to make V the subject of the equation and then compare what you have to the equation of a straight line.By comparison you should be able to identify what the gradient of the graph represent and what the intercepts on the y and the x-axis represent.

does the y intercept of the graph represent the work function?
 
Did you plot V on the y axis?If so the intercept has the units of volts ie joules per coulomb.The work function has the units of Joules so what could the intercept represent?Also, look at the intercept on the x axis.
 
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