What is the stopping potential for a wavelength of 230nm?

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SUMMARY

The stopping potential for a wavelength of 230nm can be calculated using the work function derived from a 350nm wavelength incident on a surface, where the maximum kinetic energy of the photoelectrons is 1.2 eV. The relevant equations are Kmax = hc/λ - φ and Kmax = eVs, where φ is the work function. By first calculating φ for the 350nm wavelength, it can be reused to find Kmax for the 230nm wavelength, subsequently allowing the determination of the stopping potential Vs.

PREREQUISITES
  • Understanding of photoelectric effect principles
  • Familiarity with the equations Kmax = hc/λ - φ and Kmax = eVs
  • Knowledge of constants such as Planck's constant (h) and the speed of light (c)
  • Basic proficiency in converting between energy units (eV to Joules)
NEXT STEPS
  • Calculate the work function φ for a material using the equation Kmax = hc/λ - φ
  • Determine the maximum kinetic energy Kmax for the 230nm wavelength using the previously calculated work function
  • Compute the stopping potential Vs using the equation Kmax = eVs
  • Explore the implications of varying wavelengths on stopping potential in the photoelectric effect
USEFUL FOR

Students studying modern physics, particularly those focusing on the photoelectric effect, as well as educators and anyone preparing for physics examinations involving quantum mechanics concepts.

Wardlaw
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Modern Physics question!

Homework Statement



When radiation of wavelength 350nm is incident on a surface, the maximum kinetic energy of the photoelectrons is 1.2ev. What is the stopping potential for a wavelength of 230nm?

Homework Equations


[tex]\phi[/tex]=hc/[tex]\lambda[/tex]-eV0( V0= V 'nought')
I am unsure as to what other equations can be used.


The Attempt at a Solution


My attempt was to calculate [tex]\phi[/tex] for the 350nm wavelength, and then do the same for the 230nm wavelength.
 
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in this problem you can make use of two equations:
(1) : Kmax = hc/lamda - workfunction (Kmax is the max. kinetic energy , lamda is the wavelength)

(2) : Kmax = eVs (Vs is the stopping potential)


your start is good .. when you get the work function for the 350 nm wavelength , use that workfunction again with equation (1) along with the 230 nm wavelength to get Kmax and then use equation (2) to get the stopping potential ..

note : you just need to calculate the workfunction just once since that value is fixed for a certain material .. :)
 

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