KE of photo-electron and nominal interest rate

In summary, the formula for kinetic energy of a photo electron, as stated by Einstein, shows that a portion of the energy provided through radiation will be used to overcome the work-function, leaving the remaining energy to give the electron some speed. Similarly, the formula for nominal interest rate takes into account the real increase in purchasing power and inflation rate, showing that a portion of the interest received will be used to cope with inflation, with the remaining increasing purchasing power. This mapping between the two equations reveals how they almost completely overlap and can be seen as "some of it" and "the rest of it" combining to make "all of it."
  • #1
Hall
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Einstein's formula for kinetic energy of a photo electron is
$$ KE = h\nu - \phi$$
$$ h\nu = KE + \phi$$
Which basically says whatever energy you provide through radiation, a part of it will be used (but I would like to say 'wasted') in overcoming the work-function (that is in cajoling that electron to leave the bereavement and come out) and then the energy left will give it some speed.

The formula for nominal interest rate ##i## is
$$
i= r + L$$
##r## is the real increase in purchasing power (in %) and L is the inflation rate. So, whatever extra money the bank or government gives you as interest, a part of it will be wasted in coping up with the inflation and only remaining part will influence your purchasing power.

The mapping, that I have established above between two different equations of two very different sciences, is not any ground-breaking or even a knit-pick but just see how beautifully do they map, they almost get completely superimposed.
 
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  • #2
Hall said:
The mapping, that I have established
Or, more generally:
Dullard said:
(Some of it) + (The rest of it) = (All of it)
 
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1. What is the relationship between KE of photo-electron and nominal interest rate?

The KE (kinetic energy) of a photo-electron refers to the energy possessed by an electron that has been emitted from a material due to the absorption of a photon. The nominal interest rate, on the other hand, is the stated interest rate on a loan or investment. There is no direct relationship between these two concepts. However, the KE of photo-electron is affected by the frequency and intensity of the incident light, which can be influenced by the nominal interest rate in certain situations.

2. How does the KE of photo-electron relate to the energy of the incident photon?

The KE of a photo-electron is directly proportional to the energy of the incident photon. This means that as the energy of the photon increases, the KE of the emitted electron also increases. This relationship is described by the equation KE = hf - Φ, where h is Planck's constant, f is the frequency of the photon, and Φ is the work function of the material.

3. Can the KE of photo-electron be negative?

No, the KE of a photo-electron cannot be negative. This is because the KE is a measure of the energy possessed by the electron, and energy cannot be negative. However, the value of Φ (the work function) can be greater than the energy of the incident photon, resulting in a KE of zero for the emitted electron.

4. How does the nominal interest rate affect the intensity of incident light?

The nominal interest rate does not directly affect the intensity of incident light. However, it can indirectly influence the intensity if it affects the economic conditions that determine the demand for and supply of goods and services. Changes in these economic conditions can impact the production and consumption of energy, which can ultimately affect the intensity of incident light.

5. Is there a connection between the KE of photo-electron and the interest rate of a material?

No, the KE of a photo-electron is not related to the interest rate of a material. The interest rate of a material refers to the rate at which the material can be borrowed or lent, while the KE of a photo-electron is a physical property of the material that is determined by its composition and the incident light. These two concepts are not directly related to each other.

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