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When electrons and protons have the same de Broglie wavelength?

Posted on August 28, 2022 by Author

When electrons and protons have the same de Broglie wavelength?

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.

How does wavelength affect velocity of electron?

As the wavelength decreases for a specified metal, the speed (and thus the Kinetic Energy) of the emitted electrons increases.

Which one is more mobile an electron or proton moving at the same velocity?

Initial velocity of electron greater than proton. Therefore, electron will travel more along y-axis in given time. Acceleration of electron will be greater than proton in the electric field. Therefore electron will move a greater magnitude of distance in the direction of electric field than proton.

Do electrons and protons have the same speed?

The speed of the proton must be 2.12 ×10³ m/s. A proton has about 2000 times the mass of an electron, so it would have to travel at about ¹/₂₀₀₀ the speed of an electron to have the same momentum — 3.90×10⁶m/s2000 ≈ 2000 m/s — and the same wavelength. Hope this helps.

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What is the ratio of de Broglie wavelength of proton and electron?

Find the ratio of the de Broglie wavelengths of an electron and a proton when both are moving with the (a) same speed, (b) the same kinetic energy, and (c) the same momentum. State which of the two will have a longer wavelength in each case.

Can a photon and electron of same momentum have same wavelength compare their wavelength if the two have same energy?

If a photon and an electron have the same momentum, they WILL have the same wavelength, as they are both quantum objects. The momentum-wavelength relationship is given by the de-Broglie law.

When moving with the same velocity which one of has the maximum de Broglie’s wavelength?

Now, since all the particles are moving with same velocity, the particle with least mass will have maximum de-Broglie wavelength. Out of the given four particles (proton, α -particles, i.e. He nucleus and β-particles. i.e. electrons) β-particles has the lowest mass and therefore it has maximum wavelength.

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When the wavelength of an electron increase the velocity of the electron will also increase?

So if the velocity of the electron increases, the de Broglie wavelength decreases.

What is the relationship between wavelength and frequency if velocity stays the same?

The relationship of the speed of sound, its frequency, and wavelength is the same as for all waves: vw = fλ, where vw is the speed of sound, f is its frequency, and λ is its wavelength….Learning Objectives.

Table 1. Speed of Sound in Various Media
Medium vw(m/s)
Steel 5960

Does electron and proton have the same speed?

When electrons and protons travel with the same velocity?

A proton and an electron both moving with the same velocity v enter into a region of magnetic field directed perpendicular to the velocity of the particles. They will now move in circular orbits such that.

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