Calculating Electron Acceleration Potential

In summary, the conversation was about calculating the potential difference needed to accelerate an electron from rest to achieve a wavelength of 0.154nm. The formula used was eV = hc/λ and the attempt at a solution resulted in a potential difference of 8072V. However, there was a typo in the book where velocity was mistakenly used instead of wavelength.
  • #1
gxc9800
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Homework Statement


Calculate the potential difference required to accelerate electron from rest to acquire wavelength of 0.154nm

Homework Equations

The Attempt at a Solution


eV = hc / λ
(1.6x10^-9) (V) = (6.63x10^-34)(3x10^8)/ 0.154x10^-9
V = 8072V ...
here's the sample ans :

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  • #2
It's about an electron. There is no speed of light in the formula for momentum of the electron.
You are mixing up things.

I think there is a typo in the book. The denominator in the last formula should be ## \lambda ## and not mv.
 
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  • #3
It is a typo, but they still used lambda where you would expect them to plug in (incorrectly) v.
 

FAQ: Calculating Electron Acceleration Potential

1. What is electron acceleration potential?

Electron acceleration potential is the amount of energy required to accelerate an electron from rest to a certain velocity. It is measured in units of volts (V) or electronvolts (eV).

2. How is electron acceleration potential calculated?

The electron acceleration potential can be calculated using the equation: V = (1/2)mev2, where V is the acceleration potential, me is the mass of the electron, and v is the velocity.

3. What factors affect electron acceleration potential?

The electron acceleration potential is affected by the mass of the electron, the velocity of the electron, and any external forces acting on the electron, such as electric or magnetic fields.

4. Why is electron acceleration potential important in scientific research?

Electron acceleration potential plays a crucial role in many scientific experiments and technologies, such as particle accelerators and electron microscopes. It allows scientists to control and manipulate the motion of electrons, providing valuable insights into the behavior of matter at the atomic and subatomic level.

5. How is electron acceleration potential related to voltage?

Electron acceleration potential and voltage are closely related. In fact, voltage is often used as a synonym for electron acceleration potential. Voltage is a measure of the potential difference between two points in an electric field, and it is directly proportional to the acceleration potential experienced by an electron in that field.

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