Find the speed of an electron with a kinetic energy of 5 eV.

univerkov | June 24, 2021 | education

Initial data: Ek (kinetic energy of an electron) = 5 eV.

Constants: m (mass of one electron) = 9.1 * 10 ^ -31 kg.

SI system: Ek = 5 eV = 5 * 1.6 * 10 ^ -19 J = 8 * 10 ^ -19 J.

The speed of an electron can be expressed from the following formula:

Ek = m * V ^ 2/2.

V = √ (2Ek / m).

Let’s do the calculation:

V = √ (2 * 8 * 10 ^ -19 / 9.1 * 10 ^ -31) = 1.326 * 10 ^ 6 m / s.

Answer: The speed of the electron is 1.326 * 10 ^ 6 m / s.

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