Electromagnetic radiation from a hydrogen gas lamp is shone onto a metal surface and the maximum kinetic energy of the ejected electrons is determined by measuring the stopping potential of each individual spectral line. (a) Three emission lines from the lamp are used, the three longest wavelengths of the Lyman Series, corresponding to the transitions n = 2 → n = 1, n = 3 → n = 1,n = 4 →n = 1. Calculate these three transition energies in eV units. (b) Use the fact that hc = 1240 nm eV to find the wavelengths of these three transitions. (c) The three stopping potentials, respectively, are 6.00 V, 7.80 V and 8.50 V. From these values and the photon energies found in (a), calculate three experimental values for the work function of the metal surface. (d) Calculate the average value of the work function from (c). (e) Find a list of metals with their associated work functions on the internet. Cite the web resource you found and list the metal(s) the photocathode might be made of.

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Chapter1: Units, Trigonometry. And Vectors
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Electromagnetic radiation from a hydrogen gas lamp is shone onto a metal surface and the maximum kinetic energy of
the ejected electrons is determined by measuring the stopping potential of each individual spectral line.
(a) Three emission lines from the lamp are used, the three longest wavelengths of the Lyman Series, corresponding to
the transitions n = 2 → n =1,n = 3 → n = 1,n = 4 →n = 1. Calculate these three transition energies in eV units.
(b) Use the fact that hc = 1240 nm eV to find the wavelengths of these three transitions.
(c) The three stopping potentials, respectively, are 6.00 V, 7.80 V and 8.50 V. From these values and the photon energies
found in (a), calculate three experimental values for the work function of the metal surface.
(d) Calculate the average value of the work function from (c).
(e) Find a list of metals with their associated work functions on the internet. Cite the web resource you found and list the
metal(s) the photocathode might be made of.
Transcribed Image Text:Electromagnetic radiation from a hydrogen gas lamp is shone onto a metal surface and the maximum kinetic energy of the ejected electrons is determined by measuring the stopping potential of each individual spectral line. (a) Three emission lines from the lamp are used, the three longest wavelengths of the Lyman Series, corresponding to the transitions n = 2 → n =1,n = 3 → n = 1,n = 4 →n = 1. Calculate these three transition energies in eV units. (b) Use the fact that hc = 1240 nm eV to find the wavelengths of these three transitions. (c) The three stopping potentials, respectively, are 6.00 V, 7.80 V and 8.50 V. From these values and the photon energies found in (a), calculate three experimental values for the work function of the metal surface. (d) Calculate the average value of the work function from (c). (e) Find a list of metals with their associated work functions on the internet. Cite the web resource you found and list the metal(s) the photocathode might be made of.
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