While most transition metals have work functions corresponding to photon frequencies that are larger (higher) than visible light, alkali and alkaline earth metals have low-energy work functions. For example, calcium has a work function of Po = 4.3419×10-19 J. (a) What is the initial state n; for the hydrogen emission lines at visible wavelengths (i.e., those with ng = 2) for the lowest-energy photon that would eject an electron from calcium? (b) If the colors of the visible hydrogen emission lines (n; = 3 to n; = 6) are red, green, blue and violet, which colors are capable of ejecting the electrons from calcium? (c) The energy of the emitted photon you identified in part (a), is not identical to the workfunction of calcium. Therefore, the electron is ejected from the metal surface with some kinetic energy (i.e., energy is conserved in the photoelectric effect process). What would the velocity of the electron ejected from calcium (in meters per second)?

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Chapter8: Atomic Structure
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Problem 101AP: A student in a physics laboratory observes a hydrogen spectrum with a diffraction grating for the...
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Question 9.
While most transition metals have work functions corresponding to photon frequencies that are
larger (higher) than visible light, alkali and alkaline earth metals have low-energy work functions.
For example, calcium has a work function of o = 4.3419×10-19 J.
(a) What is the initial state n, for the hydrogen emission lines at visible wavelengths (i.e., those
with n = 2) for the lowest-energy photon that would eject an electron from calcium?
%3!
(b) If the colors of the visible hydrogen emission lines (n; = 3 to n = 6) are red, green, blue and
%3D
violet, which colors are capable of ejecting the electrons from calcium?
(c) The energy of the emitted photon you identified in part (a), is not identical to the
workfunction of calcium. Therefore, the electron is ejected from the metal surface with some
kinetic energy (i.e., energy is conserved in the photoelectric effect process). What would the
velocity of the electron ejected from calcium (in meters per second)?
Transcribed Image Text:Question 9. While most transition metals have work functions corresponding to photon frequencies that are larger (higher) than visible light, alkali and alkaline earth metals have low-energy work functions. For example, calcium has a work function of o = 4.3419×10-19 J. (a) What is the initial state n, for the hydrogen emission lines at visible wavelengths (i.e., those with n = 2) for the lowest-energy photon that would eject an electron from calcium? %3! (b) If the colors of the visible hydrogen emission lines (n; = 3 to n = 6) are red, green, blue and %3D violet, which colors are capable of ejecting the electrons from calcium? (c) The energy of the emitted photon you identified in part (a), is not identical to the workfunction of calcium. Therefore, the electron is ejected from the metal surface with some kinetic energy (i.e., energy is conserved in the photoelectric effect process). What would the velocity of the electron ejected from calcium (in meters per second)?
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