2.18 Calculate the wavelength of particles (given mass and velocity).

How do you calculate the wavelength of a particle given its mass and velocity?

de Broglie’s Equation:

To calculate the wavelength (λ) of a particle, use de Broglie’s equation:

λ = h/mv

λ = wavelength of the particle (in meters)

h = Planck’s constant (6.626e-34 J)

m = mass of the particle (in kg)

v = velocity of the particle (in m/s)

If a particle has a mass of 9.11e-31 kg (the mass of an electron) and a velocity of

1.0e6 m/s, the wavelength is calculated as:

6.626e-34 / 9.11e-31 × 1.0e6 = 7.27e-10 λ

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