82.8k views
3 votes
Calculate the wavelength of an electron traveling at 2.85 × 10⁷ m/s.

User Shakked
by
8.2k points

1 Answer

6 votes

Final answer:

To calculate the wavelength of an electron traveling at a given velocity, use the de Broglie wavelength equation.

Step-by-step explanation:

The wavelength of an electron can be calculated using the de Broglie wavelength equation:

λ = h / (m * v)

Where λ is the wavelength, h is Planck's constant (6.626 x 10^-34 Js), m is the mass of the electron (9.11 x 10^-31 kg), and v is the velocity of the electron (2.85 x 10^7 m/s).

Substituting the given values into the equation, we get:

λ = (6.626 x 10^-34 Js) / (9.11 x 10^-31 kg * 2.85 x 10^7 m/s)

Solving this equation gives us the wavelength of the electron.

User Jeremy Roman
by
7.9k points