Electron Volts to Velocity Calculator

Calculate Velocity (V)



Formula

The formula to calculate the Velocity (V) is:

\[ V = \sqrt{\frac{2 \cdot eV \cdot 1.602 \times 10^{-19}}{m}} \]

Where:

Example

Let's say the electron volts (\( eV \)) is 10 eV and the mass (\( m \)) is 9.11e-31 kg (mass of an electron). Using the formula:

\[ V = \sqrt{\frac{2 \cdot 10 \cdot 1.602 \times 10^{-19}}{9.11 \times 10^{-31}}} \]

We get:

\[ V ≈ 1.87 \times 10^6 \text{ m/s} \]

So, the Velocity (\( V \)) is approximately 1.87 million meters per second.

What is Velocity?

Velocity is the speed of an object in a specific direction. In this context, it refers to the speed of a particle given its energy in electron volts and its mass.

Extended information about "Electron-Volts-to-Velocity-Calculator"

How to Calculate Velocity of an Electron

Formula: \( v = \sqrt{\frac{2eV}{m}} \)

Example: \( v = \sqrt{\frac{2 \times 1.602 \times 10^{-19} \times 100}{9.109 \times 10^{-31}}} \)

Electron Volt to Volt Calculator

Formula: \( 1 \text{ eV} = 1.602 \times 10^{-19} \text{ J} \)

Example: \( 5 \text{ eV} = 5 \times 1.602 \times 10^{-19} \text{ J} \)

Velocity of Electron Equation

Formula: \( v = \sqrt{\frac{2eV}{m}} \)

Example: \( v = \sqrt{\frac{2 \times 1.602 \times 10^{-19} \times 50}{9.109 \times 10^{-31}}} \)

Average Velocity of an Electron

Formula: \( v_{\text{avg}} = \frac{v_1 + v_2}{2} \)

Example: \( v_{\text{avg}} = \frac{2 \times 10^6 + 3 \times 10^6}{2} \)