Skip to main content

De-Broglie Waves

 De-Broglie Waves

Particle vs Wave
Particle vs Wave
Difference between particle and wave.

History

The concept that matter behaves like a wave was proposed by De-Broglie. De-Broglie, in his 1924 PhD thesis, proposed that just as light has both wave-like and particle-like properties, electrons (or matter) also have wave-like and particle-like properties.

Hypothesis

 "Every moving particle has a wave associated with it".
The wavelength of moving particle is given by
𝛌=h/p
Where h is Planck's constant and p is the momentum of moving particle. Here 𝛌 represents wave nature, while momentum accounts for the particle nature. Thus the dual nature (i.e particle and wave nature) of matter was proposed by De-Broglie and it was experimentally verified by Davisson and Germer.

Matter Wave

The wave associated with moving particle is known as matter wave. Matter waves are reffered to as De-Broglie waves.

De-Broglie Wavelength

The wavelength associated with matter wave is known as De-Broglie wavelength.

Derivation
Derivation of De-Broglie relationship
De-Broglie equation.

De-Broglie relationship
De-Broglie equation.



Conclusion

De-Broglie concluded that most particles are too heavy to observe their wave properties. When the mass of an object is very small, however, the wave properties can be detected experimentally.

Questions on De-Broglie hypothesis

Q1) What is De-Broglie Hypothesis?
Ans)Every moving particle has a wave associated with it.
Q2) What is matter wave?
Ans)The wave associated with moving particle is known as matter wave. Matter waves are reffered to as De-Broglie waves.
Q3) What is De-Broglie wavelength?
Ans)The wavelength associated with matter wave is known as De-Broglie wavelength.
Q4) What is De-Broglie equation?
Ans) De-Broglie equation is given below;
𝛌=h/p.
Q5) Fill in the blanks;
1)De-Broglie concluded that most particles are too -------- to observe their wave properties.
2)When the mass of an object is very -----, however, the wave properties can be detected experimentally.
3)Matter waves are reffered to as ------ waves.
4)The dual nature (i.e particle and wave nature) of matter was proposed by --------.
5)The wavelength of moving particle is given by
𝛌=h/p
Where h is Planck's constant and p is the momentum of moving particle. Here 𝛌 represents wave nature, while momentum accounts for the --------- nature. 
6)De-Broglie, in his 1924 PhD thesis, proposed that just as light has both wave-like and particle-like properties, -------- also have wave-like and particle-like properties.
Ans)1)De-Broglie concluded that most particles are too heavy to observe their wave properties.
2)When the mass of an object is very small, however, the wave properties can be detected experimentally.
3)Matter waves are reffered to as De-Broglie waves.
4)The dual nature (i.e particle and wave nature) of matter was proposed by De-Broglie .
5)The wavelength of moving particle is given by
𝛌=h/p
Where h is Planck's constant and p is the momentum of moving particle. Here 𝛌 represents wave nature, while momentum accounts for the particle nature. 
6)De-Broglie, in his 1924 PhD thesis, proposed that just as light has both wave-like and particle-like properties, electron also have wave-like and particle-like properties.

Comments

Post a Comment

Popular posts from this blog

LS coupling and jj coupling.

 Total angular momentum: The total angular momentum of an electron is the sum of the orbital angular momentum and spin angular momentum of the electron i.e Coupling Scheme Since an atom consist of large number of electrons having different orbital and spin momenta, Coupling scheme is necessary to obtain the resultant orbit and spin momenta of atom as a whole. There are two types of coupling scheme namely 1) LS Coupling 2) JJ Coupling. 1)LS Coupling: In this coupling the 'l' vectors of all electrons combine to form resultant 'L' vector and all the 's' vectors of these electrons combine to form resultant 'S' vector. Then the 'L' vector and 'S' vector undergoes vector addition to give resultant 'J' vector which represents the total angular momentum of an atom. Symbolically LS coupling is represented as This type of coupling is governed by the following principles: 1) All the three vectors (L,S and J vectors) are quantized. 2)L is an ...
Post a Comment
Read more

Different kinds of beta decay.

 Different kinds of beta decay 1) Negative beta decay process: When there is excess number of neutrons in the nucleus, the neutron is converted into proton with the emission of electron and antineutrino particle and this process is called negative beta decay process. Negative beta decay. 2) Positive beta decay process: When there is excess number of protons in the nucleus, the proton is converted into neutron with the emission of positron and neutrino particle and this process is called positive beta decay process. Positive beta decay. 3) Electron Capture: When there is excess number of protons in the nucleus, sometimes the nucleus will absorbed the nearby electrons in the nearest electron orbital emitting neutron and a neutrino and this process is called electron capture. Electron capture. 4) Inverse beta decay: Inverse beta decay. Thus such kind of reaction in which neutrinos are absorbed to create some sort of beta decay is called inverse beta decay. Inverse beta decay confirm t...
Post a Comment
Read more

Photoelectric effect.

 Photoelectric effect; The emission of electrons by a substance under the action of light is called Photoelectric effect. Photoelectric Effect. Experimental Setup: The phenomenon of photoelectric effect can be studied with the help of an apparatus shown in Figure below. Within an evacuated glass jacket two electrodes R and S are enclosed and the light radiation is allowed to enter the jacket through a quartz window. The radiation falls on electrode R, called cathode. The electrode S can be kept at desired (positive or negative) potential with respect to the cathode. A sensitive ammeter is put in the circuit to record current resulting from photoelectrons. The potential difference between the cathode and anode can be measured by voltmeter . Experimental Setup. Experimental observations The experimental observation of photoelectric effect may be summarised as follows; 1) Effect of Intensity of light on Photoelectric current; For a constant potential difference between the cathode ...
Post a Comment
Read more