Planck Equation: Overview, Questions, Preparation

Planck's law can be defined as the density of electromagnetic radiations produced at a temperature by a dark body in thermal equilibrium. The radiations emit the energy between the environment and body is zero or null. In the last years of the 19th century, it was difficult for physicists to understand the sudden rise in frequencies in the spectrum of black body radiations. 

The energy in Planck’s equation is transferred as quanta and is denoted as H. The value of H is 6.63 x 10-34 J/s. When the frequency of a photon is clear or precise, then the energy of a photon can be calculated with the help of Planck’s law. 

Planck’s constant is the relevance between the relationship of electromagnetic radiation of the frequency and the energy of a quantum. 

The equation of the Planck is 

E = hv

Here, v is the frequency of the radiation.

V can also be denoted as f

H is the Planck’s constant, the value of h = 6.63 x 10-34 J/s

The Planck law states the electromagnetic radiations released from the bodies are not 

released in a continuous manner. It is made up of quanta denoted as h, and the size of Planck’s constant. 

It can be written as 

Here, h is the Planck’s constant which is equal to 6.63 x 10-34 J/s

K is the Boltzmann’s constant which is equal to 1.381 x 10-23 J/K

The released emissions’ wavelength is inversely proportional to the frequency. it can be written as λ = c/v.

Explanation

The temperature of the blackbody can go up to hundreds of degrees. Most of the radiations in the electromagnetic spectrum are infrared radiations. The total radiated energy increases with the increase in temperature. Likewise, the total radiated energy decreases with a decrease in temperature. When temperature increases, the release shifts in the spectrum cause the wavelengths to go short. It causes visible light which is a significant part of the radiation. 

The chapter on electromagnetism holds a weightage of 3 marks. These 3 marks contain one very short question of 1 mark and one short question of 2 marks.

Example 1: Write down the equation for the released emission.

Answer: The released emissions’ wavelength is inversely proportional to the frequency. it can be written as λ = c/v.

Example 2: Write down Planck’s law of equation. 

Answer: It is made up of quanta denoted as h and the size of Planck’s constant. It can be defined as follows – 

B λ (T) = 2hc2 / λ5. 1 / hc / ekt λ – 1

Example 3: Explain the relation between Planck’s constant and a photon’s energy?

Answer:  When the frequency of a photon is clear or precise, then the energy of a photon can be calculated with the help of Planck’s law.

Q: In Planck’s equation, what’s the amount of energy emitted by radiation?

Q: What is H in Planck’s equation?

Q: What do you understand by Planck’s constant?

Q: What do you mean by Planck’s law of equation?

Q: What’s the value of Boltzmann’s constant?