De Broglie Wavelength for 1Mev electron

In summary, the De Broglie Wavelength for 1Mev electron is a physical concept that describes the wavelength associated with the motion of an electron with an energy of 1 million electron volts (1Mev). It is important because it suggests the wave-particle duality of electrons and can be measured using various experimental techniques. Factors such as velocity, mass, and external forces can affect the De Broglie Wavelength for 1Mev electron. Some real-world applications include electron microscopy, diffraction techniques, and advancements in nanotechnology, quantum computing, and particle physics.
  • #1
Phynos
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4

Homework Statement



Calculate the de Broglie Wavelength of a 1 MeV electron. Express your answer in femptometers.

Homework Equations



## λ = h/p ##
## p = (2mT + T^2/c^2)^{1/2} ##

The Attempt at a Solution



basically just plugged everything in.

## λ = \frac{h}{(2mT + T^2/c^2)^{1/2}} ##

## λ = \frac{(4.126*10^{-15}eV*s)}{(2*(0.511*10^6 eV)(10^6 eV) + (10^6 eV)^2/c^2)^{1/2}} ##

## λ = 4.09*10^{-21} ##

Which is way too low. It's supposed to be ##872*10^{-15}##.
 
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  • #2
Watch the units. You entered a mass in units of energy (eV).
 

FAQ: De Broglie Wavelength for 1Mev electron

What is the De Broglie Wavelength for 1Mev electron?

The De Broglie Wavelength for 1Mev electron is a physical concept that describes the wavelength associated with the motion of an electron with an energy of 1 million electron volts (1Mev). It is calculated using the formula λ = h/mv, where h is Planck's constant, m is the mass of the electron, and v is its velocity.

Why is the De Broglie Wavelength important?

The De Broglie Wavelength is important because it provides a way to understand the wave-particle duality of electrons. It suggests that particles, such as electrons, can exhibit both wave-like and particle-like behaviors, which has significant implications in the field of quantum mechanics.

How is the De Broglie Wavelength for 1Mev electron measured?

The De Broglie Wavelength for 1Mev electron can be measured using various experimental techniques, such as electron diffraction or electron microscopy. In these techniques, the wavelength of the electron is determined by observing its interference pattern when it passes through a diffraction grating or a sample.

What factors can affect the De Broglie Wavelength for 1Mev electron?

The De Broglie Wavelength for 1Mev electron can be affected by the velocity of the electron, as well as its mass. Additionally, the presence of external forces, such as electric or magnetic fields, can also influence the wavelength of the electron.

What are some real-world applications of the De Broglie Wavelength for 1Mev electron?

The De Broglie Wavelength for 1Mev electron has various applications in modern technology, such as electron microscopy, which allows for the visualization of extremely small objects. It is also used in diffraction techniques to study the atomic and molecular structure of materials. Additionally, it has implications in fields such as nanotechnology, quantum computing, and particle physics.

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