eV to Velocity Calculator

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eV to Velocity Calculator Calculator:

Enter the values of number of electron volts, eV and mass of the particle, m(kg) to determine the value of velocity, V(m/s).

Enter Number of Electron Volts :
Enter Mass : kg
   
Result – Velocity : m/s

eV to Velocity Calculator Formula:

In physics, particularly in the field of particle physics, converting electron-volts (eV) to velocity (V) is essential for understanding the dynamics of particles such as electrons.

An electron-volt is a unit of energy equal to approximately 1.602 * 10-19joules, commonly used to express the kinetic energy gained or lost by an electron as it moves through an electric potential difference of one volt.

Velocity derived from electron-volt measurements is calculated using the kinetic energy formula where the energy (in electron-volts) is converted to joules.

This calculation provides insight into the speed at which particles travel when given a specific amount of energy. The formula factors in the mass of the particle, highlighting the inverse relationship between mass and velocity for a given energy.

Velocity, V(m/s) in metres per seconds is calculated by dividing the square root of two times of number of electron volts, eV and 1.602 * 10-19 by mass of the particle, m(kg) in kilograms.

Velocity, V(m/s) = √( 2 * eV * 1.602 * 10-19 / m(kg))

V(m/s) = velocity in metres per seconds, m/s.

eV = number of electron volts.

m(kg) = mass in kilograms, kg.

eV to Velocity Calculation:

1.Calculate the velocity of an electron that has an energy of 10 eV.

Given: eV = 10, m(kg) =9.109 * 10-31kg (mass of an electron).

Velocity, V(m/s) = √( 2 * eV * 1.602 * 10-19 / m(kg))

V(m/s) = √( 2 * 10 * 1.602 * 10-19 / 9.109 * 10-19)

V(m/s) = √( 3.204 * 10-18 / 9.109 * 10-31 )

V(m/s) = √(3.518 * 1012)

V(m/s) = 5.93 * 106m/s.

2.Determine the number of electron volts of a proton.

Given: V(m/s) = 30953m/s, m(kg) = 1.673 * 10-27kg (mass of a proton).

Velocity, V(m/s) = √( 2 * eV * 1.602 * 10-19 / m(kg))

eV = V2(m/s) * m(kg) / 2 * 1.602 * 10-19

eV = 309532 / 3.204 * 10-19

eV = 958,088,209 / 3.204 * 10-19

eV = 5eV.

Applications and Considerations:

  • Particle Accelerators: Knowing the velocity of particles as they are accelerated is critical for achieving the desired interaction energies.
  • Spectroscopy: Velocity calculations help in determining the energy states of electrons within atoms.
  • Astrophysics: High energy particles in space exhibit behaviors that can be predicted using their velocities calculated from their energy in eV.
  • Semiconductor Physics: Electron velocities influence the electrical properties of materials and are crucial in device design.
  • Educational Purposes: This conversion aids students in connecting theoretical energy values to more tangible velocity measurements.

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