What is the relationship between the de Broglie wavelength and the mass of the moving particle?
Louis de Broglie showed that the wavelength of a particle is equal to Planck’s constant divided by the mass times the velocity of the particle. The electron in Bohr’s circular orbits could thus be described as a standing wave, one that does not move through space.
What is de Broglie wave derive an expression for de Broglie wavelength of a photon?
de Broglie derived the above relationship as follows: 1) E = hν for a photon and λν = c for an electromagnetic wave. 2) E = mc2, means λ = h/mc, which is equivalent to λ = h/p. Note: m is the relativistic mass, and not the rest mass; since the rest mass of a photon is zero.
How is de Broglie wavelength related to energy?
The relationship between momentum and wavelength for matter waves is given by p = h/λ, and the relationship energy and frequency is E = hf. The wavelength λ = h/p is called the de Broglie wavelength, and the relations λ = h/p and f = E/h are called the de Broglie relations.
How does the Broglie wavelength derive the de Broglie hypothesis?
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 determines the value of the de Broglie wavelength for an electron?
The velocity of the electron determines the de Broglie wavelength of the electron.
Why de Broglie equation is insignificant for macroscopic objects?
de-Broglie’s relationship is not significant to the macroscopic objects. This is because macroscopic objects have large masses and if we apply de-Broglie’s relationship to large moving objects then the wavelength associated with the object is very short. Because wavelength is inversely proportional to mass.
When would the de Broglie wavelength of a moving electron become equal to that of a moving proton?
Thus wavelengths will be equal when the velocity of electron is 1836 times the velocity of proton.
What is de Broglie equation explain relationship between wavelength and momentum with the help of de Broglie equation?
Apply the de Broglie wave equation λ=hmv λ = h m v to solve for the wavelength of the moving electron. Step 3: Think about your result. This very small wavelength is about 1/20th of the diameter of a hydrogen atom. Looking at the equation, as the speed of the electron decreases, its wavelength increases.
What is de Broglie formula used for in physics?
In physics or chemistry, the combination Einstein mass energy formula and plank quantum theory are used to derive the de Broglie relation. It is used for calculating the wavelength and frequency of electromagnetic spectrum radiation. This wavelength relation was tested by Davisson Grammar experiments and Bohr theory of hydrogen atoms.
What is the relationship between de Broglie wavelength and kinetic energy?
The relation between de-Broglie wavelength and the kinetic energy of an object of mass m moving with velocity v is given as: λ = h 2 m K When a charged particle having a charge q is accelerated through an external potential difference V, de-Broglie wavelength, λ = h v q V
What is the significance of de Broglie’s law of wave nature?
Hence, particles and wave nature of matter are actually ‘complimentary’ to each other. It is not necessary for both to be present at the same time though. The significance of de Broglie relation is that it is more useful to microscopic, fundamental particles like electron.
Do electron and photon have the same de Broglie wavelength?
An electron and photon moving with speed ‘v’ and ‘c’, respectively have the same de Broglie wavelength. If the kinetic energy and momentum of an electron are Ee and Pe and that of a proton are Eph and Pph respectively, then the correct statement from the following is –