When would the wavelength associated with an electron becomes equal to the wavelength associated with proton?

When would the wavelength associated with an electron becomes equal to the wavelength associated with proton?

Thus wavelengths will be equal when the velocity of electron is 1836 times the velocity of proton.

When would the de Broglie wavelength of a moving electron become equal to that of moving photon?

The de Broglie wavelength of an electron moving with a velocity 0f 1.5X108 m/s is equal to that of a photon.

What is de Broglie’s equation?

De Broglie Wavelength for an Electron Now, putting these values in the equation λ = h/mv, which yields λ = 3.2 Å. This value is measurable. Therefore, we can say that electrons have wave-particle duality. Thus all the big objects have a wave nature and microscopic objects like electrons have wave-particle nature.

What is de Broglie wavelength of an electron?

Since electrons have a rest mass, unlike photons, they have a de Broglie wavelength which is really short, around 0.01 nanometers for easily achievable speeds. This means that a microscope using electron matter waves instead of photon light waves can see much smaller things.

What is the relation between wavelength of photon and wavelength of electron?

The wavelength λe of an electron and λP of a photon of same energy E are related by: λ P ∝ λ e 2.

What is the relationship between electrons and wavelength?

wavelength of an electron is calculated for a given energy (accelerating voltage) by using the de Broglie relation between the momentum p and the wavelength λ of an electron (λ＝h/p, h is Planck constant).

What is the relation between de Broglie wavelength and kinetic energy of a moving particle?

de-Broglie wavelength of a body of mass m and kinetic energy E is given by λ=h√2mE. Q.

Does the equivalent wavelength of a moving electron has the same value?

The equivalent wavelength of a moving electron has the same value as that of a photon having an energy of 6×10−17J.

Is de Broglie wavelength directly proportional to velocity?

We know that velocity is directly proportional to wavelength (v=lambda*frequency) but de Broglie’s theory says it’s inversely proportional.

What is value of H in physics?

Planck’s constant, symbolized as h, is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency. In the International System of Units (SI), the constant value is 6.62607015×10−34 joule-hertz−1 (or joule-seconds).

What is p in de Broglie?

The de Broglie relation, p = h/λ, says that a particle’s momentum p is inversely proportional to its wavelength λ. For photons, this relation is a straightforward consequence of E = hf (since a light wave has p = E/c and f = c/λ, where c is the speed of light).

How to calculate wavelength?

The wavelength is calculated from the wave speed and frequency by λ = wave speed/frequency, or λ = v / f. A peak is the highest point of a wave, while the valley is the lowest point of a wave.

What did de Broglie discover?

In 1924 Louis de Broglie introduced the idea that particles, such as electrons, could be described not only as particles but also as waves. This was substantiated by the way streams of electrons were reflected against crystals and spread through thin metal foils.

What is the derivation of de Broglie?

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.

What is de Broglie relationship?

The De Broglie relation says that an electron’s wavelength and momentum have a relationship, which is given by p = h/, where h is the Planck constant and is the wavelength. When an electron collides with another particle, such as a photon, this relationship can be used to calculate how much energy the electron has.

When a proton and an electron have the same wavelength then?

If a proton and electron have the same de broglie wavelength their momentum will be equal. Hence the correct answer is option (A) Momentum of electron = momentum of proton. The de broglie’s wave equation is only applicable for micro particles.

Can the wavelength of an electron match that of a proton?

The de Broglie wavelength of a particle is inversely proportional to its momentum p = m v; since a proton is about 1800 times more massive than an electron, its momentum at the same speed is 1800 times that of an electron, and therefore its wavelength 1800 times smaller.

When an electron has the same wavelength as a photon?

Statement -1: If an electron has the same wavelength as a photon, they have the same energy.

Do protons and electrons have the same wavelength?

The wavelength of the proton will be shorter than that of the electron.