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9. A photon of energy that has fallen on the surface of a metal of work function , then this photon can liberate a number of electrons that equals 5 electrons.
True
False
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Ask by Huff Romero. in Egypt
Mar 28,2025

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The statement is false. A single photon with energy can liberate only one electron from a metal with a work function of . The excess energy becomes the kinetic energy of the ejected electron, not the number of electrons liberated.

Solución

Consider a photon with energy
and a metal with work function
The photoelectric effect tells us that one incident photon can liberate at most one electron. Even though the photon’s energy exceeds the work function, the excess energy becomes the kinetic energy of the ejected electron:
This refers to the kinetic energy of the ejected electron, not the liberation of five electrons.
Thus, the statement that the photon can liberate 5 electrons is false.

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Beyond the Answer

Let’s break it down in a fun way! When a photon with energy strikes a metal with a work function of , the excess energy available to liberate electrons is . This energy can indeed free electrons, but whether it can liberate exactly 5 depends on the individual energy required for each electron. In general, it’s not guaranteed that it will liberate exactly 5 electrons, so the statement is: False.
Now, why is photon energy and work function so thrilling? It was this very concept that led to the groundbreaking discovery of the photoelectric effect by Albert Einstein! His insights won him the Nobel Prize in 1921 and fundamentally challenged our understanding of light, paving the way for quantum mechanics. Isn’t it amazing how the tiniest particles can have such profound implications in science?
Another fun fact: In practical applications, understanding the photoelectric effect has led to the development of solar panels! These clever devices convert sunlight directly into electricity by harnessing the energy of photons to free electrons, creating electrical current. It’s like a dance between light and metal, generating renewable energy for us to use!

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