How Do You Calculate the Work Function in a Photoelectric Experiment?

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SUMMARY

The discussion focuses on calculating the work function in a photoelectric experiment involving a metal plate illuminated with monochromatic light of wavelength 365 nm. The maximum kinetic energy of photoelectrons is derived using the equation E = hc/λ, resulting in an energy value of 5.4 x 10^-19 J. The work function is determined using the relationship w₀ = hf - E, where h is Planck's constant (6.626 x 10^-34 J·s) and the frequency f is calculated as 8.2 x 10^14 Hz. The participant seeks clarification on the calculations for both the maximum kinetic energy and the work function.

PREREQUISITES
  • Understanding of the photoelectric effect and its principles.
  • Familiarity with Planck's constant (h) and the speed of light (c).
  • Knowledge of the equations E = hc/λ and Eₘₐₓ = hf - w₀.
  • Basic concepts of kinetic energy and potential difference in an electric field.
NEXT STEPS
  • Learn how to derive the photoelectric equation from experimental data.
  • Study the implications of varying potential differences on electron behavior in phototubes.
  • Explore the relationship between wavelength, frequency, and energy in electromagnetic radiation.
  • Investigate the significance of the work function in different materials used in photoelectric experiments.
USEFUL FOR

Students and educators in physics, particularly those studying the photoelectric effect, as well as researchers interested in experimental methods for measuring electron properties in phototubes.

iym185
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alrighty, run into another problem in this assignment, while my last question i somewhat get... I am not sure at all what to do here, mainly cause i don't really get the graph...

Homework Statement



1. In a photoelectric experiment, the metal plate of an evacuated phototube is illuminated with monochromatic light of wavelength 365 nm. The current I in the circuit, is measured for various values of V, the applied potential difference between metal plate and collector. The results are shown in the below graph.

[PLAIN]http://img263.imageshack.us/img263/2575/graphm.png (i) Calculate the maximum kinetic energy of the photoelectrons.
(ii) Deduce the work function of the metal plate.

Homework Equations



Emax = hf - wo

Emax = 1/2mev^2

The Attempt at a Solution



(i) my friend suggested i use the equation:

E = hc/λ to find the energy... but I am not too sure that's correct.. i mean, we know the λ = 35nm so i can use that to find E, as h and c are also know and such, which would give us:

E = (6.626×10^−34)(3=10^8) / 365x10^-9
E = 5.4x10^-19
im just not sure if that's correct as the equation that i know of for finding the max K.E is:

E = 1/2mv^2

as for part (ii), i know what work function here is:

Work function is the minimum energy needed to remove an electron from a solid to a point immediately outside the solid surface.

and i know the equation to use:

Emax = hf - wo, rearranging to get:

wo = hf - E, the E we can get from above part, h is = 6.626×10^−34, f [i think] can be found using f = c/λ which will give us f = 8.2x10^14

so ya, assuming my part (ii) us correct, I am having trouble with part (i), if anyone could PLEASE help.. ty.
 
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What effect do you think applying a potential V has on our electron? ( think about it for when we apply positive V and when we apply negative V )
 

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