NDA » NDA Study Material » Physics » Explanation on the Einstein’s Photoelectric Equation

Explanation on the Einstein’s Photoelectric Equation

In physics, Einstein’s Photoelectric Equation appears as a successful equation that allows metals to absorb the radiation of a quantum while emitting kinetic energy in the process. The present study has outlined a clear understanding of the photoelectric equation by Einstein where he has described the impacts of photoelectric effects on quantum particles. The study has further explained the photoelectric effects successfully with Einstein’s perspective of photoelectric effects. Further, it has described the photoelectric equations clearly along with the energy quantum radiation in the equation. Additionally, this study has presented the key statement of the Photoelectric Equation by Einstein effectively.

What is Einstein’s Photoelectric Equation? 

Based on the quantum theory by Planck, Einstein created an equation that can describe the impacts of photoelectric effects which famously got the title of Einstein’s Photoelectric Equation later. According to Einstein, light involves a potential quota of energy and photons while emitting quantum energy in the process. In this scenario, each photon collides with an electron within the atom which eventually provides energy to the electron. The photoelectric equation considers Planck’s quantum radiation which eventually comes out on the surface level with the kinetic energy where the electron is getting emitted within the atom.   

What is the Photoelectric Effect? 

The photoelectric effect is defined as the process of releasing electrically charged particles from the surface of the material when the surface is in contact with electromagnetic radiation. The energy of the electron transmitted from the material depends on the frequency of the light or the electromagnetic radiation. Einstein first discovered that a high-frequency light on the metal surface could spark light from the surface and it can create kinetic energy for the production of electromagnetic waves from the material. Einstein’s equation on the photoelectric effect is based on the principle that the amount of energy produced by the electrons is directly proportional to the amount of energy induced in terms of photons in the material. 

Einstein’s explanation of Photoelectric Effect 

Einstein explained that the incident light having a greater threshold value of the metal when heated to the surface produces charged particles in terms of electrons. The electrons are emitted from the surface with the same kinetic energy produced in terms of atoms on the metric surface. The theory explained that the electrically charged particles are emitted from the surface by reaching a frequency greater than the cut-off frequency. The time difference between the reflection of incident light and the emission of their first electron does not depend on the frequency of the light.

Description of Einstein’s Photoelectric Equation 

The rate of the electron emission from the surface is directly proportional to the frequency of the light and it is defined as the below equation:

E=hf (E= energy in the emitted electron from the surface, h is the Planck’s constant and f is the frequency of light). Einstein explains that when a photon is reflected on the metal surface a part of the photon’s energy is used to remove electrons from the atom of the metal and another part results in the emission of an electron and kinetic energy from the surface.

Energy quantum of radiation in Einstein’s Photoelectric Equation

Einstein explains that each energy quantum has a value equal to the Planck’s constant and the frequency of the light radiated on the surface. Kinetic energy emitted from the surface in terms of electrons is equal to the energy required by the atom to release electrons and the maximum kinetic energy produced by the electron. It is denoted by the below equation:

E= ϕ+KE (ϕ is denoted as work function, E is denoted as the energy required by photon to release electron and KE is kinetic energy).

Statement of Einstein’s Photoelectric Equation

Statement of Einstein’s photoelectric equation states that the quantum energy of an atom is transferred to the kinetic energy for the electrons in the photoelectric equation. A high-frequency light can release mortar electrons from the surface metal and produces more energy than the low-frequency light in the equation. A weak beam of light produces a low cut-off frequency that creates difficulties for the release of the electron from the surface. Einstein attributed the quantum property to explain the emission of the electron from the surface.

Conclusion 

In conclusion, it can be said that the photoelectric equation by Einstein properly explained the role of radiation within quantum and kinetic energy emission. Further, the study has concluded that the photoelectric equation has conserved energy in terms of ejecting electrons within the collision. On a different note, it can be said that the photoelectric equation mostly involves the support of kinetic energy with photon radiation which eventually boosts its success value in real-time physics. The equation is also successful in terms of solving the complexity of quantum energy emission successfully. Lastly, it can be said that this formula succeeded in representing the collision of electrons and photons within quantum energy.

faq

Frequently asked questions

Get answers to the most common queries related to the NDA Examination Preparation.

What is the main statement of Einstein’s Photoelectric Equation?

Ans. In the Photoelectric Equation, Einstein has stated that light directly interacts with the present matter in the...Read full

How does Einstein's Photoelectric Equation solve the issues of the Photoelectric effect?

Ans. Einstein solved the photoelectric effect by relating the effect with their frequencies with Planck’s formula ...Read full

What does the Photoelectric Equation represent?

Ans. The photoelectric equation represents the conservation of energy where the kinetic energy is ejected with elect...Read full

What is the Energy quantum of radiation?

Ans. Energy quantum is possibly the smallest quantity of energy that is absorbed or emitted within electromagnetic ...Read full