What Is De Broglie Hypothesis Derive The Corresponding Relation?

by | Last updated on January 24, 2024

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λ=hmv = hmomentum

, where ‘h’ is the plank’s constant. This equation relating the momentum of a particle with its wavelength is the de-Broglie equation and the wavelength calculated using this relation is the de-Broglie wavelength.

What is de Broglie hypothesis?

Hint: We know that de Broglie hypothesis states that

all the particles have dual nature that is both particle and wave-like nature but under certain conditions

. … The idea that matter behaves like a wave also was proposed by scientist Louis de Broglie in the year 1924. It is now known as the famous de Broglie hypothesis.

What is de Broglie hypothesis and derive its equation?


λ=hmv = hmomentum

, where ‘h’ is the plank’s constant. This equation relating the momentum of a particle with its wavelength is the de-Broglie equation and the wavelength calculated using this relation is the de-Broglie wavelength.

What is the de Broglie relation?

: an equation in physics: the de Broglie

wavelength of a moving particle is equal to the Planck constant divided by the momentum of the particle

.

What is the de Broglie wavelength derive the de Broglie hypothesis?

de Broglie derived the above relationship as follows: 1) E = hν for a photon and λν = c for an electromagnetic wave. 2)

E = mc

2

, means λ = h/mc

, which is equivalent to λ = h/p.

What is the main point of the de Broglie equation?


λ = h/mv

, where λ is wavelength, h is Planck’s constant, m is the mass of a particle, moving at a velocity v. de Broglie suggested that particles can exhibit properties of waves.

What is de Broglie equation for?

The de Broglie equation is an equation

used to describe the wave properties of matter or particles

. de Broglie suggested that particles can exhibit properties of waves, and proved that every moving particle has a matter wave associated with it.

Is de Broglie hypothesis true?

Further experiments have held de Broglie’s

hypothesis to be true

, including the quantum variants of the double slit experiment. Diffraction experiments in 1999 confirmed the de Broglie wavelength for the behavior of molecules as large as buckyballs, which are complex molecules made up of 60 or more carbon atoms.

Why is de Broglie important?

Louis de Broglie, in full Louis-Victor-Pierre-Raymond, 7

e

duc de Broglie, (born August 15, 1892, Dieppe, France—died March 19, 1987, Louveciennes), French physicist best known

for his research on quantum theory and for predicting the wave nature of electrons

. He was awarded the 1929 Nobel Prize for Physics.

What is the conclusion of Davisson Germer experiment?

According to the conclusion obtained by Davisson-Germer experiment it was

shown that electrons exhibit wave nature too

. This conclusion supports the hypothesis given by De-Broglie regarding wave-particle duality of matter.

What is limitation of de Broglie equation?

Limitation of de Broglie equation is that

it is good work on microscopic particle like ekectron ,protone and neutron

but it fails in case of large size object it gets fail because they have more mass and their wavelength become smaller and smaller that is not easy task to measure.

What is the conclusion made by de Broglie?

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. De Broglie predicted that the mass of an electron was small enough to exhibit the properties of both particles and waves.

What is the de Broglie wavelength associated with?

The de Broglie derived a connection

between the wavelength and momentum of matter

. The de Broglie wavelength is inversely proportional to its momentum. that is associated with an object with respect to its speed and mass is known as the de Broglie wavelength.

What is the most important application of de Broglie concept?

Structure of Atom

What is the most important application of de-Broglie concept? Its most important use is in

the construction of electron microscope

which is used in the measurement of objects of very small size.

What is meant by de Broglie wavelength?

According to wave-particle duality, the De Broglie wavelength is a

wavelength manifested in all the objects in quantum mechanics

which determines the probability density of finding the object at a given point of the configuration space. The de Broglie wavelength of a particle is inversely proportional to its momentum.

How is de Broglie wavelength related to temperature?

If the thermal energy is not a source of kinetic energy of a moving particle, then the de Broglie wavelength of that particle is independent of the temperature. Hence the de Broglie wavelengths of emitted particles in photoelectric effect, radioactive radiation etc.

have no relation with temperature

.

Charlene Dyck
Author
Charlene Dyck
Charlene is a software developer and technology expert with a degree in computer science. She has worked for major tech companies and has a keen understanding of how computers and electronics work. Sarah is also an advocate for digital privacy and security.