Photoelectric effect and continuous energy function

In summary, the Photoelectric Effect is a phenomenon in which electrons are emitted from a material when it absorbs electromagnetic radiation, typically in the form of light. It was first observed by Heinrich Hertz and explained by Albert Einstein. The effect works by transferring energy from photons of light to electrons, with the amount of energy depending on the frequency of the light. The threshold frequency is the minimum frequency of light required to cause the effect, and a continuous energy function helps calculate the maximum kinetic energy of the emitted electrons. The Photoelectric Effect is used in various technologies and has contributed to our understanding of quantum mechanics and light.
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TL;DR Summary
E=hf-W where W is a work function.

However we know that electrons in an atom will be excited only when radiated with photons of n*f0 discrete number of frequencies.

where E=hf-W is a continuous function. hows is that possible?
E=hf-W where W is a work function.

However we know that electrons in an atom will be excited only when radiated with photons of n*f0 discrete number of frequencies.
where E=hf-W is a continuous function.

Is this because energy level is continuous within a conductor?
If we think of only one metal atom in free space, then it will only take n*f0 discrete number of frequencies, right?
 
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Related to Photoelectric effect and continuous energy function

1. What is the photoelectric effect?

The photoelectric effect is the phenomenon in which electrons are emitted from a material when it is exposed to light of a certain frequency. This was first observed by Heinrich Hertz in 1887 and was later explained by Albert Einstein in 1905 through his theory of quantum mechanics.

2. What is the significance of the photoelectric effect?

The photoelectric effect is significant because it provided evidence for the particle nature of light and helped to establish the concept of photons. It also led to the development of the field of quantum mechanics and has many practical applications, such as in solar panels and photodiodes.

3. How does the energy of the emitted electrons in the photoelectric effect relate to the frequency of the incident light?

According to the photoelectric effect equation, the energy of the emitted electrons is directly proportional to the frequency of the incident light. This means that increasing the frequency of the light will result in higher energy electrons being emitted.

4. What is a continuous energy function?

A continuous energy function is a mathematical function that describes the relationship between the energy of a system and its physical properties. In the context of the photoelectric effect, it is used to calculate the maximum kinetic energy of the emitted electrons based on the frequency of the incident light.

5. How does the photoelectric effect support the wave-particle duality of light?

The photoelectric effect supports the wave-particle duality of light by demonstrating that light can behave as both a wave and a particle. The wave nature of light is observed through its frequency and wavelength, while the particle nature is observed through the emission of discrete packets of energy (photons) and the photoelectric effect equation.

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