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Can a photon and an electron of the same energy have the same wavelength?

Posted on September 1, 2022 by Author

Can a photon and an electron of the same energy have the same wavelength?

If a photon and an electron have the same momentum, they WILL have the same wavelength, as they are both quantum objects.

How are de Broglie wavelength and kinetic energy related?

According to De Broglie’s equation, wavelength=h/mv. This is the mathematical relation between Kinetic energy and wavelength. relationship between momentum and wavelength for matter waves is given by p = h/λ, and the relationship energy and frequency is E = hf.

How is de Broglie wavelength related to kinetic energy and potential difference?

A. λ=12.3√hA0. Hint: An electron that is accelerated from rest by an electric potential difference of V has a de Broglie wavelength of λ. But since the kinetic energy of the electron is equal to the energy gained from accelerating through the electric potential, \[\lambda \propto \dfrac{1}{{\sqrt V }}\].

Which is greater the energy of a photon or the kinetic energy of an electron?

i.e., Kinetic energy of the photon is greater than that of the electron . As it moves with the speed c, it is faster than electron.

Can an electron and photon have same de-Broglie wavelength if they have same momentum?

The correct answer is linear momentum. The de-Broglie wavelength of a particle or a photon is given by λ = h/p where h is Planck’s constant and p is the momentum. As the electron and the photon are having the same wavelength λ, the momentum of both of them will be the same.

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Do photon and electron have the same energy?

An electron (of mass m) and a photon have the same energy E in the range of a few eV. The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is (c = speed of light in vacuum)

How do you find the kinetic energy of an electron with a wavelength?

  1. λ2=m2v2h2.
  2. λ2=2m(K. E.) h2.
  3. K. E.= 2mλ2h2.

What is the difference between wavelength and de Broglie wavelength?

The key difference between De Broglie wavelength and wavelength is that De Broglie wavelength describes the wave properties of a large particle, whereas wavelength describes the wave properties of waves. Therefore, we can measure it as the distance between consecutive corresponding points of the same phase on the wave.

How is the de Broglie wavelength associated with an electron accelerated through a potential difference of 100 volts?

Here, V=100 Volts. The de- Broglie wavelength λ is λ=1.227√Vnm. =1.227√100=1.22710=0.1227=0.123nm.

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What happens when a photon hits an electron?

When an electron is hit by a photon of light, it absorbs the quanta of energy the photon was carrying and moves to a higher energy state. Electrons therefore have to jump around within the atom as they either gain or lose energy.

What is the kinetic energy of the electron after the photon is scattered?

After the collision the photon has energy hf/ and the electron has acquired a kinetic energy K. The combination of factors h/mec = 2.43 x 10-12 m, where me is the mass of the electron, is known as the Compton wavelength.

Can a photon and an electron have the same de Broglie wavelength?

> If a photon and an electron… Where E is kinetic energy. Given that both the electron and proton have the same De Broglie wavelength. Was this answer helpful?

What is the ratio of de Broglie wavelengths to kinetic energy?

The ratio of the de Broglie wavelengths of the particles λ 1 ​ / λ 2 ​ is : The de Broglie wavelength of an electron moving with a velocity 1. 5 × 1 0 8 m s − 1 is equal to that a photon. The ratio of the kinetic energy of the electron to the that of the photon is

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How do electrons and photons have the same kinetic energy?

Since they have the same wavelength λ, by de Broglie they have the same momentum p = h/λ. For the case of kinetic energy there are two ways to answer the question. Easy way. Photons as a rule have negligible momentum, so any photon with the same momentum as an electron must have a staggering amount of kinetic energy compared to the electron.

What is the momentum of an electron and a photon?

Since they have the same wavelength λ, by de Broglie they have the same momentum p = h/λ. For the case of kinetic energy there are two ways to answer the question. Easy way. Photons as a rule have negligible momentum, so any photon with the same momentum as an electron must have a staggering amount…

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