a) What is the maximum initial quantum number, n, that is required in order to emit a photon with high enough energy to generate a photocurrent from the metal surface? b) Using the n value solved in part (a), calculate the maximum speed of the photoelectron from potassium. If you couldn’t solve for n in part (a), use n = 3.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter29: Atomic Physics
Section: Chapter Questions
Problem 10OQ
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Part b

Consider the electron of a Li2+ ion that undergoes a transition from a higher energy state n to its adjacent lower energy state n – 1 (e.g. n = 2→1, 3→2, 4→3, etc) and emits a photon. Suppose the emitted photon is used to strike the surface of potassium, which has a threshold frequency of 5.464 × 1014 s–1 .

a) What is the maximum initial quantum number, n, that is required in order to emit a photon with high enough energy to generate a photocurrent from the metal surface?

b) Using the n value solved in part (a), calculate the maximum speed of the photoelectron from potassium. If you couldn’t solve for n in part (a), use n = 3. 

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